5th Grade Classifying Two-Dimensional Figures Worksheets with Answers (Free PDF)

5th grade classifying shapes worksheet – Maths PDF

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This 5th grade classifying shapes worksheet covers classifying two-dimensional figures (Common Core 5.G.B.3, 5.G.B.4), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice classifying quadrilaterals and triangles and explaining how categories overlap.

Topic: Classifying Two-Dimensional Figures (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.G.B.3, 5.G.B.4
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fifth grade students practice classifying quadrilaterals and triangles and explaining how categories overlap. Also, pictures, Venn diagrams, and tree diagrams show how properties group shapes.

There are 20 problems. The first five name figures and state true or false claims about squares, rectangles, and parallelograms. The next five classify triangles by sides and by angles, and three use a Venn diagram, a tree diagram, and a set of shapes. Then, the last seven are real situations with a frame, a garden bed, a road sign, a claim, a cut triangle, and quilt patches. Also, allow about 35 minutes.

This worksheet has 20 problems on classifying two-dimensional figures (5.G.B.3 and 5.G.B.4). You will name quadrilaterals and triangles, decide which statements about categories are true, and use Venn and tree diagrams.

The first problems use pictures and short descriptions. The last six are word problems with quilts, signs and gardens. Give the most specific name unless the problem asks for all names.

Grade 5 · Common Core State Standards: 5.G.B.3, 5.G.B.4

5th grade classifying shapes worksheet: worksheet problems 1 to 10

1 – Name the figure

First, name this figure with its most specific name.

Tick marks show equal sides. Small squares show right angles.

2 – Squares and rectangles

Next, decide. True or false: All squares are rectangles. Explain.

3 – Rectangles and squares

Then, decide. True or false: All rectangles are squares. Give an example to explain.

4 – Four equal sides

Now, solve. A quadrilateral has two pairs of parallel sides and 4 equal sides. Its angles are not right angles. What is it?

5 – Properties of parallelograms

Also, write three properties that all parallelograms have.

6 – Triangle with three equal sides

Classify the triangle by its sides.

A triangle with three 5 cm sides.

7 – Right triangle sides

Classify the triangle two ways: by its sides and by its angles.

A triangle with a right angle.

8 – Angles 40, 70, 70

Then, solve. A triangle has angles of 40°, 70° and 70°. Classify it by its angles.

9 – Angles 30, 30, 120

Now, solve. A triangle has angles of 30°, 30° and 120°. Classify it by its angles.

10 – Sides 6, 6, 9

Also, solve. A triangle has sides 6 in, 6 in and 9 in. Classify it by its sides.

Worksheet problems 11 and up

11 – Place the shapes

First, place a square, a rectangle that is 6 cm by 3 cm, and a rhombus with angles of 60° and 120° in the correct region of the Venn diagram.

Blank Venn diagram.

12 – Complete the tree

Next, solve. In the tree diagram, which shape belongs in the box with the question mark? It is a parallelogram with 4 right angles.

A tree diagram of the quadrilateral family.

13 – Two pairs of parallel sides

Then, solve. Which of the shapes A, B, C and D have two pairs of parallel sides?

Shapes A, B, C and D.

14 – Square or rhombus

Now, explain why every square is also a rhombus.

15 – Picture frame

Also, solve. Maya’s picture frame has 4 equal sides and 4 right angles. List all the names that fit the frame.

16 – Garden bed

First, solve. Jamal’s garden bed is 8 feet long and 3 feet wide, and all four corners are right angles. Is it a square? What is the best name for the shape?

17 – Road sign

Next, solve. A warning sign is a triangle with all three sides 12 inches long and each angle 60°. Classify it by sides and by angles.

Worksheet problem 18 and after

18 – Rhombus must be a square

Then, solve. Priya says, “A rhombus must be a square.” Show that she is wrong using a rhombus with sides 5 cm and angles of 60° and 120°.

19 – Cutting a triangle

Now, solve. Diego cuts a triangle with sides 9 in, 12 in and 15 in. It has one right angle. (a) Classify it by sides. (b) Classify it by angles. (c) Find its perimeter.

20 – Quilt patches

Also, solve. Aisha’s quilt has triangle patches with sides 5 in, 5 in and 8 in, and rhombus patches with sides of 7 in. (a) Classify the triangle by its sides. (b) Find the perimeter of one triangle patch. (c) Find the perimeter of one rhombus patch. (d) Which patch has the greater perimeter, and by how much?

Key facts behind this 5th grade classifying shapes worksheet

Key facts

A quadrilateral has 4 sides; a parallelogram has two pairs of parallel sides.
Next, a rectangle has 4 right angles; a rhombus has 4 equal sides; a square has both.
Every square is a rectangle and a rhombus, but not every rectangle is a square.
Triangles by sides: equilateral, isosceles, scalene.
Triangles by angles: acute, right, obtuse.

Common mistakes with this 5th grade classifying shapes worksheet

Students answer false when asked whether every rhombus is a parallelogram. A rhombus has two pairs of parallel sides, so it belongs to that group.
Students use the name rectangle for a shape with two long and two short sides but slanted angles. Also, a rectangle needs four right angles.
Students give only one name for a triangle. Instead, classify it by sides and by angles when both are asked.
Students explain a claim with a picture only. Also, write a sentence that names the property that makes the claim true or false.

Tips before you start the worksheet problems

Mark the properties on each figure before you name it. Also, marks help you see what is known and what is only assumed.
List every name that fits a shape, then choose the most specific one. Then, this avoids missing a category.
Teachers can ask students to give a counterexample for each false statement. Repeat this habit on every problem for the best results.

Download the 5th grade classifying shapes worksheet as a PDF with the button below and keep it with your notes.

5th grade classifying shapes worksheet: frequently asked questions

What is a counterexample in geometry?

A counterexample is one shape that shows a statement is false. To disprove that all rectangles are squares, show a rectangle with different side lengths, such as one that is 5 inches by 2 inches.

How do you classify a triangle from its three side lengths?

Compare the sides. Three equal sides make it equilateral, two equal sides make it isosceles, and no equal sides make it scalene. Sides 7, 7, and 10 give an isosceles triangle. A quick check like this takes only a few seconds and prevents most errors.

Can a rhombus be a rectangle?

Yes, but only if it also has four right angles. A rhombus with four right angles is a square. Also, a rhombus with angles that are not 90 degrees is not a rectangle. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

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