Regular and irregular polygons

Question 1

Which statement correctly describes a regular pentagon?

Accepted Answer

It has 5 sides that are all the same length and 5 angles that are all the same size.

Answer

It has 5 sides that are all the same length but the angles are different sizes.

Answer

It has 5 sides of different lengths but all the angles are the same size.

Answer

It has 4 sides that are the same length and 4 equal angles.

Question 2

Which of the following descriptions is of a regular polygon?

Accepted Answer

A polygon with 5 sides that are all the same length and 5 angles that are all the same size.

Answer

A polygon with 4 sides where opposite sides are the same length and each corner is a right angle.

Answer

A polygon with 6 sides that are all the same length but the angles are not all the same.

Answer

A polygon with 3 sides where two sides are the same length and all three angles are different.

Question 3

Mia is drawing a five‑sided figure for a board game. She can choose one of the following designs. Which design will be a regular pentagon?

Accepted Answer

Design A: All five sides are 6 cm long, and each interior angle measures 108°.

Answer

Design B: All five sides are 6 cm long, but the interior angles are 100°, 108°, 108°, 108°, and 124°.

Answer

Design C: All interior angles are 108°, but the side lengths are 6 cm, 6 cm, 6 cm, 6 cm, and 8 cm.

Answer

Design D: All five sides are 6 cm long and the interior angles are 108° except one angle, which is 180°.

Try three questions