Question

Determine which rotations will map this figure to itself.

Answer 1

The rotations which will map this figure itself are 60°, 120°, and 180°.

We have,

A figure which is on a straight line i.e 180°.

Now,

Find the rotations which it will make,

When a person or figure rotates completely i.e. to reach to its original position or shape it makes an angle of 360°.

So,

In the same way;

After rotaions of this figure to reach it to its original position it has to make an angle of 360°.

So,

That means,

First this figure will make a rotation of 60°.

Then it will make a rotation of 120°.

Then it will make a rotation of 180°.

i.e.

The sum of these angles = 60° + 120° + 180° = 360°.

So,

We have to choose that option, in which the sum of angles is 360°.

i.e.

Option 1. ii, iii, and iv.

Therefore, the rotations which will map this figure itself are 60°, 120°, and 180°.

Learn more about rotation here:

brainly.com/question/1571997

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