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Pentagon Properties Quiz

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Questions and Answers

Which of the following statements about a pentagon is true?

A pentagon has 5 sides and 5 angles. (correct)
A pentagon has 6 sides and 6 angles.
A pentagon has 4 sides and 4 angles.
A pentagon has 7 sides and 7 angles.

Which of the following statements about a regular pentagon is true?

A regular pentagon has 4 sides and 4 angles.
All sides of a regular pentagon are equal in length. (correct)
All angles of a regular pentagon are equal in size.
A regular pentagon has 6 sides and 6 angles.

Which of the following types of pentagons has angles that point inward toward the pentagon?

Irregular pentagons
Regular pentagons
Concave pentagons (correct)
Convex pentagons

Which of the following types of pentagons has all angles pointing toward the exterior of the pentagon?

Convex pentagons (C) Signup and view all the answers

How many lines of symmetry does a pentagon have?

5 (D) Signup and view all the answers

Which type of pentagon can be circumscribed (drawn within a circle) with all 5 points touching the circle?

Cyclic pentagon (A) Signup and view all the answers

What is the formula for finding the area of a regular pentagon?

$A = \frac{5}{2} \times s \times a$ (C) Signup and view all the answers

What is the formula for finding the area of a triangle?

$A = \frac{1}{2} \times b \times h$ (A) Signup and view all the answers

What is the formula for finding the perimeter of a regular pentagon?

$P = 5 \times s$ (B) Signup and view all the answers

How would you find the perimeter of an irregular pentagon?

Add the lengths of all the sides (B) Signup and view all the answers

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