A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal. At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°

Question

Mathematics

Blevins

30 April, 02:25

A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal. At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°

+2

Answers (2)

Know the Answer?

Ewing · Answer 1

The answer is 180°

Step-by-step explanation:

For a hexagon to rotate unto itself, the shape after rotation and relative length and angles is identical to the original figures.

Since this hexagon is irregular i. e has sides of different lengths, and from the facts given, opposite sides and angles are equal.

This implies top/bottom, left/right and sides and angles 180° apart are identical.

Hence, only a 180° rotation will yield an identical hexagon.

Alannah Hodges · Answer 2

D

Step-by-step explanation:

I took the test on E2020.