Geometry Worksheets

Quick answer: Geometry worksheets teach shapes, their sides and angles, symmetry and measuring. This page has 160 free printable geometry worksheets with answer keys for kindergarten to grade 4: 2D and 3D shapes, angles, symmetry and area. Updated October 2026.

Geometry worksheets to print (PDF)

These geometry worksheets are a sample of the 16 printable PDFs in this section, from 2D shapes to angles. Click a picture for the PDF, or open one of the sets below.

Seeing shapes everywhere

Geometry starts with names (triangle, hexagon, cube) and grows into properties: how many sides and corners, which shapes have faces, which pictures are symmetrical, which angles are bigger than a right angle. These worksheets follow that path. Every shape is drawn clearly with thick lines, and the 3D solids show hidden edges as dashed lines, just like in a textbook.

Geometry by grade

Shape facts at a glance

Hands-on geometry ideas

• Shape hunt: find five circles, rectangles and triangles at home or in class and tick them on a chart.
• Build it: make 2D shapes from straws or craft sticks and count the sides; make 3D shapes from modeling clay and count the faces.
• Feely bag: hide a 3D shape in a bag; children describe it by touch (“it has a point and one flat face”) before naming it.
• Fold and cut: fold paper in half and cut a shape to make a symmetrical picture.

Common mistakes

• Thinking a square turned on its corner (a “diamond”) is a different shape. Turning a shape does not change it.
• Calling a 3D cube a “square” or a sphere a “circle”. Squares and circles are flat (2D).
• Counting the same edge of a 3D shape twice.

What is in the geometry worksheets

There are 16 geometry worksheets in four sets, each with an answer key. All of these geometry worksheets are free to print:

• 2D shapes: names, sides and vertices (Kindergarten to grade 2, 5 worksheets)
• 3D shapes: faces, edges and vertices (Grades 1 to 3, 4 worksheets)
• Lines of symmetry (Grades 2 to 4, 4 worksheets)
• Acute, right, obtuse and straight angles (Grade 4, 3 worksheets)

2D shapes worksheets: polygons and their angles

A polygon is a flat shape with straight sides, and it has as many corners as sides. The names come from Greek numbers: penta for five, hexa for six, octo for eight. A useful fact for older children is that the angles inside a polygon always add up to (number of sides − 2) × 180°, which means that every triangle adds up to 180° and every quadrilateral to 360°. In a regular polygon all the angles are equal, so you can divide the total:

The 2D shapes worksheets for the early grades ask for names, sides and vertices only, but the angle sums are a good extension of these geometry worksheets for grade 4 and above. See Wikipedia’s polygon article for more.

3D shapes worksheets: faces, edges and vertices

A face is a flat surface, an edge is where two faces meet, and a vertex is a corner where edges meet. For the shapes with flat faces, the numbers always obey a formula discovered by Leonhard Euler: vertices − edges + faces = 2. Children can check it with 3D shapes worksheets that ask them to count the parts of a solid:

The last column is 2 for every solid. The curved solids are different: a cylinder has 2 flat faces and 1 curved surface, a cone has 1 flat face and 1 curved surface, and a sphere has only 1 curved surface and no edges or vertices. Wikipedia’s Euler characteristic article explains the formula.

Symmetry worksheets: lines of symmetry

A line of symmetry divides a shape into two halves that are mirror images. If you fold along the line, the halves match exactly. Symmetry worksheets ask children to draw the lines on shapes and letters, and the answer is not always what they expect:

Geometry worksheets on symmetry often surprise children: a rectangle has two lines of symmetry, not four, because its diagonals are not lines of symmetry unless it is a square. A circle has an infinite number of lines, because any line through the center works. Lines of symmetry are part of grade 4 (4.G.A.3).

Angles worksheets grade 4: acute, right, obtuse and straight

Angles worksheets for grade 4 teach children to classify angles by size, using the right angle of a page corner as a reference (4.G.A.1). They then measure with a protractor (4.MD.C.6):

A good trick is to hold a sheet of paper in the corner of the angle: if the angle is smaller than the paper’s corner, it is acute; if it is bigger, it is obtuse.

Free geometry worksheets: basic, easy and printable

This page is also searched as free geometry worksheets, basic geometry worksheets, easy geometry worksheets, free printable geometry worksheets, geometry printable worksheets free, geometry practice sheets, geometry practice worksheets, geometry worksheets pdf, geometry worksheets pdf with answers and geometry review worksheet. All of them are the free PDFs above, each with an answer key. Basic geometry worksheets for the early grades are the shapes sheets, and geometry homework for older children can use the angles and area sheets. This collection covers kindergarten to grade 4.