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2D Shape Properties Worksheet
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2D Shape Properties Worksheet
Mere and Tevita are planning new signs for the school canteen. Use shape properties to classify the signs, solve clues and explain your reasoning. A polygon is a closed 2D shape made only from straight line segments.
Shape clues
Read each question carefully. Some questions ask you to explain how you know.
1.A canteen sign has exactly three straight sides and three vertices. Which shape is it?
- Triangle
- Rectangle
- Pentagon
- Circle
2.Talia says a circle is a polygon because it is a closed shape. Is she correct? Explain using the definition of a polygon.
3.A square sign has four equal sides and four right angles. True or false: every square is also a rectangle. Explain your answer.
4.Complete the properties for a regular hexagon: it has sides, vertices and interior angles.
5.Match each shape to the number of sides it has.
- Triangle
- Quadrilateral
- Pentagon
- Octagon
- 5
- 3
- 8
- 4
Classify and compare
Use precise geometry vocabulary: side, vertex, angle, parallel and right angle.
6.A rectangular menu board has four sides. How many vertices and interior angles does it have? What is the size of each interior angle?
7.A regular pentagon and a regular hexagon are used on two signs. Which sign has more sides, and by how many?
8.Mere sorts a square, a rectangle, a parallelogram and a triangle. Name all the quadrilaterals and state the property they share.
9.A triangle-shaped notice has three interior angles. What is the total of the three angle sizes?
- 90°
- 180°
- 270°
- 360°
10.Tevita claims that every quadrilateral is a rectangle. Explain why the claim is incorrect, and give one quadrilateral that is not a rectangle.
11.Design a new polygon-shaped canteen sign with exactly five sides. Draw it, label its vertices A–E, and write one property that is true for every pentagon.
3 printable pages
Page 1
Page 2
Page 3
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