Free Printable Geometry Worksheets

Geometry worksheets for 3rd to 6th grade. A one-page lesson, How to Use a Protractor, and a guided practice sheet come before the protractor worksheet. Start with the chart of lines and angles, then name lines, rays and line segments, sort pairs of lines and kinds of angle, read a protractor, add angles and find a missing angle, find lines of symmetry, name polygons and work with ordered pairs on a grid. Younger children can start symmetry with the mirror image and draw the other half sheets, which finish a picture so both sides match.

ChartLines and Angles Chart printable preview

Lines and Angles Chart

Grades 3–5

Point, line, line segment and ray. Parallel, intersecting and perpendicular lines. Acute, right, obtuse and straight angles. How to name an angle.

Download PDF
Lines, Rays and Line Segments printable preview

Lines, Rays and Line Segments

4th grade

Eight figures with lettered points. Write the name of each, such as ray CD. Includes answer key.

Download PDF
Parallel, Perpendicular or Intersecting? printable preview

Parallel, Perpendicular or Intersecting?

4th grade

Nine pairs of lines turned different ways. Write which kind each pair is. Includes answer key.

Download PDF
Acute, Right, Obtuse or Straight? printable preview

Acute, Right, Obtuse or Straight?

4th grade

Twelve angles turned different ways. Write the kind of angle under each. Includes answer key.

Download PDF
LessonHow to Use a Protractor printable preview

How to Use a Protractor

Grade 4

The four steps for measuring an angle, how to pick the right one of the two scales, and an acute-or-obtuse check that catches a 60° read as 120°. Also covers drawing an angle.

Download PDF
GuidedUsing a Protractor: Guided Practice printable preview

Using a Protractor: Guided Practice

Grade 4

Twelve angles in three steps: the scale to read is highlighted, then you choose the scale yourself, then you pick between two readings. Every protractor is printed in place. Includes answer key.

Download PDF
Measure Angles with a Protractor printable preview

Measure Angles with a Protractor

Grades 4–5

Six angles, each drawn with a protractor already in place. Read the scale and write the size in degrees.

Download PDF
Adding Angles printable preview

Adding Angles

Grade 4

Nine figures with two or three angles side by side, each drawn to size. Add the parts to find the whole angle. Includes answer key.

Download PDF
Find the Missing Angle printable preview

Find the Missing Angle

Grade 4

Six figures with a missing part of a whole angle, a right angle or a straight line, and three short stories. Includes answer key.

Download PDF
Mirror Image: Finish the Picture printable preview

Mirror Image: Finish the Picture

Grades 1–3

Half a picture on a grid. Color the squares on the other side so both halves match. Includes answer key.

Download PDF
Mirror Image: Two Shades printable preview

Mirror Image: Two Shades

Grades 2–3

A robot in dark and light squares to mirror across the line. Includes answer key.

Download PDF
Draw the Other Half printable preview

Draw the Other Half

Grades 1–3

Two pictures cut in half on a square grid. Draw the missing half of each. Includes answer key.

Download PDF
Draw the Other Half: Dot Grid printable preview

Draw the Other Half: Dot Grid

Grades 2–3

Two more half pictures, with only dots to help. Includes answer key.

Download PDF
Lines of Symmetry printable preview

Lines of Symmetry

4th grade

Eight shapes. Draw every line of symmetry and write how many there are. Includes answer key.

Download PDF
Name the Polygons printable preview

Name the Polygons

Grades 3–5

Eight shapes, some regular and some not. Count the sides and write the name. Includes answer key.

Download PDF
Coordinate Grid: Name the Points printable preview

Coordinate Grid: Name the Points

5th grade

Eight points on a 10 by 10 grid. Write the ordered pair for each. Includes answer key.

Download PDF
Coordinate Grid: Plot the Points printable preview

Coordinate Grid: Plot the Points

5th grade

Eight ordered pairs to plot and label on an empty grid. Includes answer key.

Download PDF

About the Geometry Worksheets

Elementary geometry is mostly vocabulary with pictures. A child who can look at a drawing and say ray, perpendicular or obtuse has done most of the work, and the rest builds on those words. These sheets teach the words first and then ask children to use them.

The Lines and Angles Chart puts the words on one page, each with a picture and a short meaning. The next three worksheets practice them one group at a time: lines, rays and line segments, then pairs of lines, then the four kinds of angle. The figures are turned in different directions on purpose, because a right angle is still a right angle when it is not sitting flat.

A protractor has two rows of numbers, and reading the wrong one is the most common mistake. How to Use a Protractor shows the four steps: center mark on the vertex, zero line along one side, find the 0 on that side, then follow that scale to the other side. It shows the same 60° angle opening to the right and to the left, with the scale to read highlighted each time, and teaches a quick check: decide first whether the angle is acute or obtuse, so 60° and 120° cannot be mixed up. Using a Protractor: Guided Practice starts with the right scale highlighted, then leaves the choice to the student, and ends with angles where two readings are given and only one fits. No protractor is needed, because one is printed over every angle.

Measure Angles with a Protractor draws the protractor on the page, lined up correctly, so the only job is reading the scale. That is the step to learn before using a real one. Lines of Symmetry and Name the Polygons move from lines and angles to whole shapes. Before finding a line of symmetry, younger children can make one: the Mirror Image sheets mirror a picture square by square across a line, and Draw the Other Half asks them to finish a real picture so both sides match. More of these are in the activity sheets and the K-2 Puzzle and Brain Games pack.

Adding Angles and Find the Missing Angle are the 4th grade idea that angle measure adds up. When a ray splits an angle, the parts add up to the whole, so a missing part is the whole take away the part you know. Every figure is drawn at its true size, and the missing-angle sheet includes square corners (90°) and straight lines (180°).

The two coordinate grid sheets cover ordered pairs in the first quadrant: across first, then up. For shapes in more depth, see the lessons on types of triangles and types of quadrilaterals. There is also a printable protractor, blank coordinate planes, and worksheets on area and volume.

Frequently Asked Questions

What is the difference between a line, a ray and a line segment?
A line goes on forever in both directions. A ray starts at one point and goes on forever in one direction. A line segment is a piece of a line with two endpoints, so it has a length that can be measured.
What is the difference between parallel and perpendicular lines?
Parallel lines never meet and stay the same distance apart, like the rails of a train track. Perpendicular lines cross each other to make right angles, like the lines of a plus sign.
What are the types of angles?
An acute angle is less than 90 degrees. A right angle is exactly 90 degrees. An obtuse angle is more than 90 degrees and less than 180 degrees. A straight angle is exactly 180 degrees and looks like a straight line.
How do you measure an angle with a protractor?
Put the center mark of the protractor on the vertex of the angle and line up the 0 line with one ray. Then read the number where the other ray crosses the scale. Use the scale that starts at 0 on the ray you lined up.
What is a line of symmetry?
A line of symmetry is a line that divides a shape into two halves that match exactly when folded along it. A square has four lines of symmetry, a rectangle has two, and a parallelogram that is not a rectangle or rhombus has none.
What grade learns angles and lines?
Points, lines, rays, parallel and perpendicular lines, kinds of angle, measuring angles and lines of symmetry are all taught in 4th grade. Naming polygons starts in 3rd grade, and plotting ordered pairs on a coordinate grid is taught in 5th grade.