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MATH 4 Topic 2: Geometry

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Printable Geometry Worksheets

Get the logical and creative sides of your brain working in perfect harmony with this classical discipline of math - Geometry, that has huge applications in the real world. With no room for boxed thinking, the geometry worksheets here feature exercises with 2D and 3D shapes, finding the area and perimeter, surface area and volume, learning the concept of slopes, symmetry, transformation; usage of the midpoint formula and distance formula and more.

List of Geometry Worksheets

• Line, ray and line segment
• Points, lines and planes
• Ordered Pairs and Coordinate Planes

Explore the Geometry Worksheets in Detail

Position Worksheets

Rich with scads of practice, our worksheets on describing positions are the best place to bolster your spatial skills, comprehend the relative position of objects, and expand your vocabulary.

2D Shapes Worksheets

Fine-tune your motor skills with this set of 2-dimensional shape worksheets. Find umpteen attractive worksheets to cut and glue 2D shapes, identify shapes, trace and color, name and match shapes, draw and count shapes, sides and corners and a lot more.

3D Shapes Worksheets

Get your geometry basics in shape with these 3D shapes worksheets featuring charts and exercises to identify and label 3D shapes, and associate them with real-life objects. Comprehend the properties of 3D shapes, and know the nets of solid figures like the back of your hand.

Line, ray and line segment Worksheets

Utilize this collection of line, ray and line segment worksheets to gain an in-depth knowledge of the concept. Included here are vibrant charts and activity sheets to identify, name and draw lines, rays and segments, simple word problems and a lot more.

Points, lines and planes Worksheets

The assemblage here contains plenty of points, lines and planes PDFs to get the concept clear. Learn about collinear and non-collinear points, answer questions based on the given figures and comprehend concepts like coplanar and more.

Angles Worksheets

Navigate through the cluster of geometry worksheets here that contains innumerable exercises from identifying, naming and classifying angles, to finding angles formed by a transversal, triangle, quadrilateral, polygon and measuring angles using a protractor, complementary and supplementary angles to mention a few.

Symmetry Worksheets

Utilize this array of symmetry worksheets to identify the line of symmetry in objects and letters, drawing the line of symmetry, completing the mirror image in standard and grid form, finding the perimeter, paper folding and cut-paste activities to mention just a few.

Transformation Worksheets

Check out these transformation worksheets that contain visually appealing activities to identify transformations of real-life objects-slide, flip and turn, translation, rotation and reflection, transformation of shapes, triangles, quadrilaterals, writing rules, coordinates and much more.

Area Worksheets

The multitude of printable area worksheets here is apt for learning to find the area of rectangles, triangles, circles, polygons, to mention a few; both metric and customary units are available. Also, included are attractive worksheets to find the area of regular and irregular shapes using grids and a lot more.

Perimeter Worksheets

Choose from a multitude of perimeter worksheets to find the perimeter of regular shapes like rectangle, triangle, quadrilateral, polygon, the circumference of a circle; irregular shapes, finding perimeter using a grid to name a few.

Rectangle Worksheets

This collection of geometry worksheets has all you need to know about rectangles, activities like color and trace rectangles, finding the area and perimeter of a rectangle, rectangular path length, width and diagonals, the side length of a square, area and perimeter of a square and more.

Triangle Worksheets

This compilation has tailor-made geometry worksheets to recognize the type of triangles based on sides and angles, finding angles both interior and exterior, length of the sides, the perimeter with congruent properties, the area of a triangle, isosceles, scalene, equilateral; inequality theorem and much more.

Circle Worksheets

This set of circle worksheets is an important addition to build your knowledge. The worksheets encompass exercises like finding the area and circumference of a circle, area of a segment, finding the radius, diameter, arc length, area of the sector to name a few.

Quadrilateral Worksheets

The geometry worksheets here concentrate precisely on the different types of quadrilaterals with skills to identify and name quadrilaterals, find the perimeter of quadrilaterals - standard and based on properties, finding the area of a parallelogram, rhombus, trapezoid, kite, quadrilaterals and many more with ample interesting activities.

Polygon Worksheets

Take a look at this collection of polygon worksheets that feature tasks like recognizing a polygon - regular / irregular, concave / convex, finding the area and perimeter of polygons, angles both interior and exterior to mention a few.

Ordered Pairs and Coordinate Plane Worksheets

Hone your skills in this crucial aspect of graphing with the batch of ordered pairs and coordinate plane worksheets here, featuring tasks to identify the position, ordered pairs, quadrants and axes with and without grids; plotting ordered pairs and coordinates, changing positions or directions and a lot more.

Midpoint Formula Worksheets

Incorporate this unit of geometry worksheets to find the midpoint on a number line, on grids, by using the formula, to plug in the missing coordinates, finding endpoints with varied levels of difficulty.

Distance Formula Worksheets

Understand the application of distance formula better with this plethora of geometry worksheets, find the length of the number line, line segments, length of sides in shapes; distance formula with the Pythagorean theorem, with midpoint formula; classifying triangles and quadrilaterals and its application in geometry as well.

Slope Worksheets

Explain the concept with the slope worksheets here to identify positive and negative slopes, graph the line, find the rise and run, find the slope using the ratio method, two point formula, slope-intercept formula and a lot more.

Parallel, Perpendicular and Intersecting Lines Worksheets

Employ this interesting compilation of parallel, perpendicular and intersecting lines worksheets to identify the type of lines, draw the types of lines, analyze the transversal to answer the questions, learn the concept of parallel and perpendicular, the relationship between points and slopes to mention a few.

Scale Factor Worksheets

Incorporate these scale factor worksheets to learn to dilate shapes, to determine the coordinates of the original or dilated shapes, to dilate shapes with origin at center and origin not at center. Also, comprehend the influence of scale factor on area, perimeter, volume and surface area.

Surface Area Worksheets

Check out an extensive collection of printable geometry worksheets here to find the surface areas of prisms, cylinders, pyramids and polygonal pyramids, hemispheres and spheres, and cones; find the surface area of combined shapes, available in varied levels of difficulty.

Volume Worksheets

An assemblage of comprehensive volume worksheets here provides a great way to find the volume of rectangular, triangular and polygonal prisms, cones, cylinders and spheres, hemispheres, rectangular pyramids, the volume of mixed and combined shapes and a lot more.

Pythagorean Theorem Worksheets

These great to use printable geometry worksheets contain a variety of tasks to learn the Pythagorean theorem through descriptive charts, PDFs to identify the right angle triangle, Pythagorean triple, finding unknown lengths and sides and word problems too.

Trigonometry Worksheets

The trigonometry worksheets feature adequate charts and exercises to find the quadrants and angles, learn to convert between radians and degrees, accurately measure the angles, find the reference and coterminal angles, determine the trig ratios, evaluate and verify using the trig identities. Also, included are PDFs for unit circle, allied angles, inverse trig ratios and more.

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Free Printable Math Worksheets for Geometry

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• Review of equations
• Simplifying square roots
• Adding and subtracting square roots
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• Line segments and their measures inches
• Line segments and their measures cm
• Segment Addition Postulate
• Angles and their measures
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• The Angle Addition Postulate
• Angle pair relationships
• Understanding geometric diagrams and notation
• Parallel lines and transversals
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• Points in the coordinate plane
• The Midpoint Formula
• The Distance Formula
• Parallel lines in the coordinate plane
• Classifying triangles
• Triangle angle sum
• The Exterior Angle Theorem
• Triangles and congruence
• SSS and SAS congruence
• ASA and AAS congruence
• SSS, SAS, ASA, and AAS congruences combined
• Right triangle congruence
• Isosceles and equilateral triangles
• Midsegment of a triangle
• Angle bisectors
• The Triangle Inequality Theorem
• Inequalities in one triangle
• Classifying quadrilaterals
• Angles in quadrilaterals
• Properties of parallelograms
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• Areas of triangles and quadrilaterals
• Introduction to polygons
• Polygons and angles
• Areas of regular polygons
• Solving proportions
• Similar polygons
• Using similar polygons
• Similar triangles
• Similar right triangles
• Proportional parts in triangles and parallel lines
• The Pythagorean Theorem and its Converse
• Multi-step Pythagorean Theorem problems
• Special right triangles
• Multi-step special right triangle problems
• Trig. ratios
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• Solving right triangles
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• Rhombuses and kites with right triangles
• Trigonometry and area
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• Volume of prisms and cylinders
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• Volume of pyramids and cones
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• More on nets of solids
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• Arcs and central angles
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• Circumference and area
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• Tangents to circles
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• Equations of circles
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• Permutations vs combinations
• Probability using permutations and combinations
• Line segments
• Perpendicular segments
• Medians of triangles
• Altitudes of triangles

Geometry Worksheets

Geometry worksheets introduce students to various types of shapes, angles, symmetry, line, slope, area, perimeter, volume, etc. As the scope of the topic is very vast, it is necessary for students to get the right type of worksheet that will clear their concepts rather than confuse them.

Benefits of Geometry Worksheets

Geometry is one of the most important branches of mathematics. Solving these worksheets will enable students to develop an in-depth understanding of various concepts of geometry.

Students work with different types of shapes ranging from triangles, quadrilaterals, and composite figures to different types of angles, etc. These math worksheets start with using simple concepts of point and line and gradually the level starts increasing where students have to solve more complex problems that might involve formula manipulations.

The main benefit of such worksheets is that they can further apply these concepts to real-life situations.

Download Geometry Worksheet PDFs

By getting sufficient practice, a student is sure to flourish in the topic. Students can download these worksheets in PDF for free, making them easy to use.

☛ Check Grade wise Geometry Worksheets

• Kindergarten Geometry Worksheets
• Geometry Worksheets for Grade 1
• 2nd Grade Geometry Worksheets
• Geometry Worksheets for Grade 3
• Geometry Worksheets for Grade 4
• 5th Grade Geometry Worksheets
• Geometry Worksheets for Grade 6
• Geometry Worksheets for Grade 7
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Geometry Worksheets for Kids

Shapes, lines, and angles can be found all around us, and kids of all ages can learn about them using worksheets. SplashLearn's printable geometry worksheets can help children learn more about shapes and measuring angles, calculating volume, discovering the area and perimeter, and much more.

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Positional Words Worksheets for Kids

Above and Below Worksheet

Practice 'Above' and 'Below' by printing this playful worksheet.

Shapes and Positions Worksheet

Be on your way to become a mathematician by practicing shapes and positions.

Front and Behind Worksheet

Practice 'Front' and 'Behind' by printing this playful worksheet.

Identify the Position of the Ball Worksheet

Dive into this fun-filled printable worksheet by correctly identifying the position of the ball.

Sides and Corners Worksheets for Kids

Sort on the Basis of Types of Corners Worksheet

Use this printable worksheet to practice sorting on the basis of types of corners.

Sort on the Basis of Number of Corners Worksheet

Print this worksheet to practice sorting on the basis of number of corners.

Shapes Worksheets for Kids

Shapes in Everyday Life Worksheet

Pack your math practice time with fun by exploring shapes in everyday life.

Rectangles and Triangles Worksheet

This downloadable worksheet is designed to practice rectangles and triangles.

Squares and Circles Worksheet

Practice squares and circles by printing this playful worksheet.

Identify Solid Shapes Worksheet

Combine math learning with adventure by solving to identify solid shapes.

Coordinate Planes Worksheets for Kids

Spot the Decimals on a Number Line Worksheet

Reveal the secrets of math wizardry by practicing to spot the decimals on a number line.

Marking Ordered Pairs on Coordinate Grid Worksheet

Children can mark ordered pairs on coordinate grids by printing this playful worksheet.

Identify Ordered Pairs On Coordinate Grid Worksheet

Make math practice a joyride by identifying ordered pairs on coordinate grids.

All Geometry Worksheets for Kids

Number of Sides and Corners Worksheet

Enhance your math skills by practicing shapes & the number of their sides and corners.

Separate Out the Triangles Worksheet

Combine math learning with adventure by solving to separate out the triangles.

Plotting Number Patterns on Graph Worksheet

Be on your way to become a mathematician by plotting number patterns on a graph.

Place the Shapes Worksheet

Combine math learning with adventure by placing the shapes.

Classify Shapes as Flats or Solids Worksheet

Focus on core math skills with this fun worksheet by classifying shapes as flats or solids.

Position the Shapes Worksheet

Dive into this fun-filled printable worksheet by practicing to position the shapes.

Identify the Flat Shapes Worksheet

Reinforce math concepts by practicing to identify the flat shapes.

Identify and Count the Shapes Worksheet

Reveal the secrets of math wizardry by practicing to identify and count the shapes.

Create Shapes from Other Shapes Worksheet

Solidify your math skills by practicing to create shapes from other shapes.

Make a Fish using Shapes Worksheet

Help your child revise geometry by making a fish using shapes.

Make a Rabbit using Shapes Worksheet

Make a rabbit using shapes by printing this playful worksheet.

Make a Duck using Shapes Worksheet

Kids must make a duck using shapes in this worksheet.

Make an Airplane using Shapes Worksheet

Learn geometry at the speed of lightning by practicing to make an airplane using shapes.

Count the Shapes Worksheet

Dive into this fun-filled printable worksheet by practicing to count the shapes.

Compose From Given Shapes Worksheet

Assess your math skills by composing from the given shapes in this worksheet.

Create Using Shapes Worksheet

In this worksheet, learners will have to create using shapes.

Complete Using Shapes Worksheet

Dive into this fun-filled printable worksheet by practicing to complete using shapes.

Compose Using Shapes Worksheet

Print this worksheet to practice composing using shapes like a math legend!

How Many Corners and Sides Worksheet

Learn geometry at the speed of lightning by practicing all about corners and sides.

Identify Open and Closed Shapes Worksheet

Reveal the secrets of math wizardry by practicing to identify open and closed shapes.

Draw the Shape Worksheet

This downloadable worksheet is designed to practice drawing the shape.

Cones and Spheres Worksheet

Learn geometry at the speed of lightning by practicing cones and spheres.

Cylinders and Cubes Worksheet

Combine math learning with adventure by practicing cylinders and cubes.

Shapes in Our Surroundings Worksheet

Put your skills to the test by practicing to identify shapes in our surroundings.

Identify Trapezoids Worksheet

Make math practice a joyride by identifying trapezoids.

Separate Out the Trapezoids Worksheet

Put your skills to the test by practicing to separate out the trapezoids.

Identify Pentagons and Hexagons Worksheet

Learn geometry at the speed of lightning by practicing to identify pentagons and hexagons.

Shapes and their Attributes Worksheet

Help your child revise geometry by practicing shapes and their attributes.

Count Sides and Angles Worksheet

Pack your math practice time with fun by counting sides and angles.

Draw a Shape Worksheet

Dive into this fun-filled printable worksheet by practicing to draw a shape.

Sort the Shapes Worksheet

Make math practice a joyride by sorting the shapes.

Sorting Shapes as Pentagons and Hexagons Worksheet

Reinforce math concepts by sorting shapes as pentagons and hexagons.

Color Shapes Divided into Equal Parts Worksheet

Focus on core math skills with this fun worksheet by coloring shapes divided into equal parts.

Identify and Color Equal Parts Worksheet

Put your skills to the test by identifying and coloring equal parts.

Identify Halves Worksheet

Combine math learning with adventure by solving to identify halves.

Importance of Learning Geometry

Almost everyone uses geometry daily, even if they have never opened a geometry book. Geometry is around us, and we face it every single day.

Our geometry worksheets introduce children to various forms, angles, symmetry, lines, slopes, areas, perimeters, and volumes, among other concepts. Because the topic is so broad, kids need the correct kind of fun and interactive geometry worksheets can help them learn and understand the concepts rather than confusing them. These printable worksheets have the added benefit of allowing kids to apply these principles to real-life situations.

SplashLearn offers a number of geometry worksheets for all grades, such as "Shapes in Everyday Life" and "Shapes in our Surroundings." 

• Shapes in Everyday Life In this worksheet offered by SplashLearn, kids come across various shapes which they come across in everyday life, such as a ball or a pen, and they have to identify them. This worksheet helps build up your child's math skills in geometry as kids have to solve several problems related to geometry. 
• Shapes in Our Surroundings There are various shapes in our surroundings, such as circles, squares, ovals, rectangles, etc. Through the help of this worksheet, kids get to identify and differentiate between various shapes mentioned. This worksheet helps your child gain a better understanding of the concept of geometry and apply it in their day-to-day life. 
• Sort Shapes Through this worksheet, you can help your child become an expert in geometry. The worksheet encourages your child to use their knowledge of geometry to identify quadrilaterals. Your child will better understand geometry and shapes and will enjoy time working with this worksheet. 

Can We Teach Geometry in a Fun Way?

We know how difficult it is to make kids learn something, but at the same time, it's important for their future. Geometry appears to be in a separate league when it comes to math. Some kids fall in love with it right away, while others find it difficult. One of the best things about geometry is that you can present your children with so many interactive, hands-on online activities, making it a lot of fun!

Begin with Shapes

The best way to start teaching geometry is with shapes that your kids have known since they were small, such as circles, squares, and triangles, drawn on whiteboards. After that, you can draw more complex forms of polygons. This leads to an educational discussion about polygons between you and your child, and you can classify shapes that way.

Incorporate Some Kinesthetic Learning into the Curriculum

Kids require mobility, and kinesthetic activities make it simple to provide that. In one activity, children can be on the floor with a partner, using their bodies to create different types of lines (parallel, intersecting, and perpendicular), forms, and angles (right, acute, and obtuse). Another option is to have the children stand up and draw these geometric concepts with their arms.

Help Your Child Learn Geometry

Instead of remembering formulae and definitions and calculating areas, perimeters, and other calculations, the key to helping your child learn geometry is to stress geometrical concepts and provide lots of hands-on activities, such as sketching figures and working with manipulatives.

As a parent, you know how difficult it gets to make kids learn math, but it is important for their future as well, so you need to just choose the best for them. With SplashLearn's downloadable geometry worksheets and online activities that make studying hands-on, your kids will find geometry to be fun. Any adult can become an instructor by following the easy-to-follow directions in each of our interactive learning activities.

Your one stop solution for all grade learning needs.

Worksheet Generator – Geometry

Type in the number of questions desired, then click the "Submit" button to generate the worksheet.

Rectangles (Perimeter):

Number of questions: (max 100)

Rectangles (Area):

Rectangles:

Parallelograms:

Trapezoids:

Circles (Circumference):

High precision π (scientific calculator recommended)

Circles (Area):

Arc Length and Sector Area - Degrees:

Arc Length and Sector Area - Radians:

Degrees and Radians

Square Pyramids:

Distance Formula:

Polygon Names (# of sides given):

Max number of sides: 10 20

Polygon Names (names given):

We hope that the free math worksheets have been helpful. We encourage parents and teachers to adjust the worksheets according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

We welcome your feedback, suggestions, comments and questions about this site; please submit your feedback via our Feedback page.

Geometry Worksheets

Welcome to the geometry worksheets page at Math-Drills.com where we believe that there is nothing wrong with being square! This page includes Geometry Worksheets on angles, coordinate geometry, triangles, quadrilaterals, transformations and three-dimensional geometry worksheets.

Get out those rulers, protractors and compasses because we've got some great worksheets for geometry! The quadrilaterals are meant to be cut out, measured, folded, compared, and even written upon. They can be quite useful in teaching all sorts of concepts related to quadrilaterals. Just below them, you'll find worksheets meant for angle geometry. Also see the measurement page for more angle worksheets. The bulk of this page is devoted to transformations. Transformational geometry is one of those topics that can be really interesting for students and we've got enough worksheets for that geometry topic to keep your students busy for hours.

Don't miss the challenging, but interesting world of connecting cubes at the bottom of this page. You might encounter a few future artists when you use these worksheets with students.

Most Popular Geometry Worksheets this Week

Learning About Shapes

General use geometry printables including shapes sets and tangrams.

The quadrilaterals set can be used for a number of activities that involve classifying and recognizing quadrilaterals or for finding the properties of quadrilaterals (e.g. that the interior angles add up to 360 degrees). The tangram printables are useful in tangram activities. There are several options available for the tangram printables depending on your printer, and each option includes a large version and smaller versions. If you know someone with a suitable saw, you can use the tangram printable as a template on material such as quarter inch plywood; then simply sand and paint the pieces.

Identifying Shapes

Angle Geometry Worksheets

Angle geometry worksheets for naming angles and angle relationships.

If you are looking for measuring angles worksheets, please look on the Measurement Page

Naming angles

Angle relationships

Coordinate Point Geometry

Coordinate point geometry worksheets to help students learn about the Cartesian plane.

Plotting random coordinate points

Cartesian Art

There are many other Cartesian Art plots scattered around the Math-Drills website as many of them are associated with a holiday. To find them quickly, use the search box.

Coordinate plane distance and area

Triangles and Pythagorean Theorem

Worksheets for classifying triangles by side and angle properties and for working with Pythagorean theorem.

Classifying triangles

If you are interested in students measuring angles and sides for themselves, it is best to use the versions with no marks. The marked versions will indicate the right and obtuse angles and the equal sides.

Pythagorean Theorem

A cathetus (plural catheti) refers to a side of a right-angle triangle other than the hypotenuse.

Quadrilaterals

Worksheets for classifying quadrilaterals.

Classifying quadrilaterals

Quadrilaterals are interesting shapes to classify. Their classification relies on a few attributes and most quadrilaterals can be classified as more than one shape. A square, for example, is also a parallelogram, rhombus, rectangle and kite. A quick summary of all quadrilaterals is as follows: quadrilaterals have four sides. A square has 90 degree corners and equal length sides. A rectangle has 90 degree corners, but the side lengths don't have to be equal. A rhombus has equal length sides, but the angles don't have to be 90 degrees. A parallelogram has both pairs of opposite sides equal and parallel and both pairs of opposite angles are equal. A trapezoid only needs to have one pair of opposite sides parallel. A kite has two pairs of equal length sides where each pair is joined/adjacent rather than opposite to one other. A bowtie is sometimes included which is a complex quadrilateral with two sides that crossover one another, but they are readily recognizable. Any other four-sided polygon can safely be called a quadrilateral if it doesn't meet any of the criteria for a more specific classification.

Transformations Worksheets

Transformations worksheets for translations, reflections, rotations and dilations practice.

Here are two quick and easy ways to check students' answers on the transformational geometry worksheets below. First, you can line up the student's page and the answer page and hold it up to the light. Moving/sliding the pages slightly will show you if the student's answers are correct. Keep the student's page on top and mark it or give feedback as necessary. The second way is to photocopy the answer page onto an overhead transparency. Overlay the transparency on the student's page and flip it up as necessary to mark or give feedback.

Translations

Also known as sliding, translations are a way to mathematically describe how something moves on a Cartesian plane. In translations, every vertex and line segment moves the same, so the resulting shape is congruent to the original.

Reflections

Reflect on this: reflecting shapes over horizontal or vertical lines is actually quite straight-forward, especially if there is a grid involved. Start at one of the original points/vertices and measure the distance to the reflecting line. Note that you should measure perpendicularly or 90 degrees toward the line which is why it is easier with vertical or horizontal reflecting lines than with diagonal lines. Measure out 90 degrees on the other side of the reflecting line, the same distance of course, and make a point to represent the reflected vertex. Once you've done this for all of the vertices, you simply draw in the line segments and your reflected shape will be finished.

Reflecting can also be as simple as paper-folding. Fold the paper on the reflecting line and hold the paper up to the light. On a window is best because you will also have a surface on which to write. Only mark the vertices, don't try to draw the entire shape. Unfold the paper and use a pencil and ruler to draw the line segments between the vertices.

Here's an idea on how to complete rotations without measuring. It works best on a grid and with 90 or 180 degree rotations. You will need a blank overhead projector sheet or other suitable clear plastic sheet and a pen that will work on the page. Non-permanent pens are best because the plastic sheet can be washed and reused. Place the sheet over top of the coordinate axes with the figure to be rotated. With the pen, make a small cross to show the x and y axes being as precise as possible. Also mark the vertices of the shape to be rotated. Using the plastic sheet, perform the rotation, lining up the cross again with the axes. Choose one vertex and mark it on the paper by holding the plastic sheet in place, but flipping it up enough to get a mark on the paper. Do this for the other vertices, then remove the plastic sheet and join the vertices with line segments using a ruler.

Dilations and Scale Factors

Mixed transformations

Constructions Worksheets

Constructions worksheets for constructing bisectors, perpendicular lines and triangle centers.

It is amazing what one can accomplish with a compass, a straight-edge and a pencil. In this section, students will do math like Euclid did over 2000 years ago. Not only will this be a lesson in history, but students will gain valuable skills that they can use in later math studies.

Constructing midpoints and bisectors on line segments and angles

Constructing perpendicular lines

Constructing triangle centers

Three-Dimensional Geometry Worksheets

Three-dimensional geometry worksheets that are based on connecting cubes and worksheets for classifying three-dimensional figures.

Connecting cube structures

Connecting cubes can be a powerful tool for developing spatial sense in students. The first two worksheets below are difficult to do even for adults, but with a little practice, students will be creating structures much more complex than the ones below. Use isometric grid paper and square graph paper or dot paper to help students create three-dimensional sketches of connecting cubes and side views of structures.

Classifying 3-dimensional figures

Nets of 3D figures .

This section includes a number of nets that students can use to build the associated 3D solids. All of the Platonic solids and many of the Archimedean solids are included. A pair of scissors, a little tape and some dexterity are all that are needed. For something a little more substantial, copy or print the nets onto cardstock first. You may also want to check your print settings to make sure you print in "actual size" rather than fitting to the page, so there is no distortion.

Trigonometric Ratios aka SOHCAHTOA

Trigonometric ratios.

Trigonometric ratios are useful in determining the dimensions of right-angled triangles. The three basic ratios are summarized by the acronym SOHCAHTOA. The SOH part refers to the ratio: sin(α) = O/H where α is an angle measurement; O refers the length of the side (O)pposite the angle measurement and H refers to the length of the (H)ypotenuse of the right-angled triangle. The CAH part refers to the ratio: cos(α) = A/H where A refers to the length of the (A)djacent side to the angle. The TOA refers to the ratio: tan(α) = O/A.

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