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

Demetrius

3 September, 10:30

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°

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Answers (2)

Know the Answer?

Asher Avila · Answer 1

D

Step-by-step explanation:

I took the test on E2020.

Ahmad Harrington · Answer 2

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.