MathsFreePrintable

2D Shape Properties

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

2D Shape Properties worksheet preview
Name:Date:

2D Shape Properties

Wiremu and Mei are designing clear signs for a supermarket. Use the shape clues and diagrams to identify, classify and explain 2D shape properties. Diagrams are not drawn to scale.

Shape clues

Use the labelled shape cards below for Questions 1–3.

A — Square: four equal sides; four right angles.

B — Rectangle: opposite sides equal and parallel; four right angles.

C — Triangle: three sides; one angle is obtuse.

1.Which shape card shows a quadrilateral with all sides equal and four right angles? Name the shape and its card letter.
2.Which card has exactly one pair of parallel sides? (Assume the triangle has no parallel sides.)
3.A sign is to have exactly three vertices and one obtuse interior angle. Which card fits both clues?
  • A — Square
  • B — Rectangle
  • C — Triangle

Angles in the sign workshop

Mei sketches a triangular sign with interior angles of 38° and 67° at two vertices. Use the sketch and facts to answer Questions 4–6.

4.Calculate the size of the third interior angle. Show your calculation using the triangle angle sum.
5.Classify the 75° angle as acute, right or obtuse. Explain how you know.
6.A rectangular special-offer sign has three interior angles measuring 90°, 90° and 90°. Find the fourth angle and state the quadrilateral angle sum used.

Classify and reason

For the remaining tasks, use mathematical properties rather than how a shape looks when turned or resized.

7.True or false: Every square is a rectangle. Support your answer with two properties shared by both shapes.
TrueFalse
8.Select every shape that always has at least one line of symmetry: an irregular scalene triangle, an equilateral triangle, a rectangle, a square, a circle.
  • Irregular scalene triangle
  • Equilateral triangle
  • Rectangle
  • Square
  • Circle
9.Wiremu says, “A shape with four sides must be a rectangle.” Explain why this claim is incorrect. Give one counterexample and describe its sides or angles.
10.Design a new four-sided supermarket sign that is not a rectangle. Draw it, then label at least one pair of equal sides or one angle. State the name of a possible shape.

2 printable pages

  • 2D Shape Properties, page 1 of 2: Shape clues, Angles in the sign workshop

    Page 1

  • 2D Shape Properties, page 2 of 2: Classify and reason

    Page 2

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds