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Polygons and Prisms Tests

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Polygons and Prisms Tests

Use the shape gallery to solve each task. A polygon is a closed 2D shape made from straight sides. A prism is a 3D shape with two matching, parallel end faces and the same cross-section all the way along.

A. Regular hexagon

B. Irregular pentagon

C. Triangular prism

Spot the properties

Read each question carefully. For the multiple-answer question, choose every correct option.

1.A regular hexagon has how many sides and vertices?

5 sides and 5 vertices
6 sides and 6 vertices
6 sides and 8 vertices
8 sides and 6 vertices

2.Which statements describe every polygon? Select all that apply.

It is a closed 2D shape.
Its boundary is made only of straight line segments.
It has at least three sides.
It must have equal sides.

3.Shape A in the gallery is regular. What must be true about its sides and interior angles?

4.How many sides and vertices does Shape B have?

5.True or false? A circle is a polygon because it is a closed shape.

TrueFalse

Investigate prisms

Use Shape C in the Shape gallery and what you know about faces, edges and vertices.

6.According to the prism definition, what relationship do the two end faces of Shape C have?

7.A prism has pentagons as its two matching end faces. What kind of prism is it?

8.Complete the prism rule: The two end faces of a prism are the same shape and size, and are .

9.A pentagonal prism has 2 pentagonal ends and 5 rectangular side faces. How many faces does it have altogether?

10.A triangular prism has 2 triangular faces and 3 rectangular faces. How many faces is that altogether? Show or explain your calculation.

11.A builder is choosing a solid for a straight-sided tunnel with the same triangular opening at both ends. Which prism fits best, and what feature makes it suitable?

Draw a seven-sided polygon. Label it heptagon, mark one vertex and one side, and write whether your design is regular or irregular.