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Polygon Classification Worksheet

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Polygon Classification Worksheet

A music festival is planning its stage signs. Help Charlotte, Georgia and Levi classify polygons by counting sides, checking angles and spotting parallel lines. Write clearly and explain your reasoning where asked.

Name that polygon

Use the number of straight sides to classify each shape.

A. Count sides and vertices; name the polygon.

B. Count sides and vertices; name the polygon.

C. Count sides and vertices; name the polygon.

D. Count sides and vertices; name the polygon.

1.Which statement best defines a polygon?

A closed 2D shape made from straight line segments
Any flat shape with a curved edge
A solid shape with flat faces
An open shape made from straight line segments

2.Levi is sorting festival badges. Which of these are polygons? Select all that apply: a circle, a rectangle, an open zigzag made of straight lines, or a pentagon.

3.A festival banner has 8 straight sides. What is the name of the polygon, and how many vertices and angles does it have?

4.Georgia says, “Every quadrilateral is a square.” Is she correct? Explain using a different type of quadrilateral.

Compare polygon properties

Look closely at the properties, not just the overall appearance.

5.A square is a regular polygon. Give two properties that make it regular, then name one more property of a square.

6.Complete the classification: an irregular polygon does not have all its sides and angles equal. What must be true of a regular polygon’s sides and angles?

7.Name each angle type: (a) 42° (b) 90° (c) 128°. Then explain what makes two sides parallel.

8.A rectangular stage sign has four sides. Which description is true?

It has one pair of parallel sides and no right angles.
It has two pairs of parallel sides and four right angles.
It has four equal sides and no parallel sides.
It has three vertices and three angles.

9.Charlotte sketches a closed shape with 5 straight sides, but the sides and angles are not all equal. Is it a regular or irregular pentagon? Explain.

10.Design a new closed polygon for a festival sign with exactly 7 sides. Draw it and label the number of sides, vertices and angles. It does not need to be regular.