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

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.

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1