Question

What is the least angle measure by which this figure can be rotated so that it maps onto itself?

45°

90°

180°

360°

Answer 1

t think its 90 hope this helpes

Answer 2

90° is the least angle measure by which this figure can be rotated so that it maps onto itself

Solution-

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e 90°, 180°, 270°, 360°...... would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.