Question

Please help me :(

Keshonda uses geometry software to rotate the square about its center.

Through which angle measures can she rotate the square to map it onto itself?

Select EACH correct answer.

45°

90°

135°

180°

225°

Answer 1

90 and 180 are the two correct answers since it is a square

Answer 2

She can rotate the square by 90° and 180° to map it onto itself.

SOLUTION-

A square has 2 axis-symmetry lines. And the angle between those two axis is 90°, So when rotated 90° or any multiple of 90°, like 180°,270°, 360°, and so on, it produces the same square as before.

But, when rotated any other degree of rotation, the newly formed image doesn't coincide with the original image.

So, from the options given, when the image is rotated 45°, 135° or 225°, it won't map onto itself. But, when rotated 90°and 180°, the final image will be same as the pre-image.