What is the least angle measure by which this figure can be rotated so that it maps onto itself?
45°
90°
180°
360°
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Answer-
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.