Question

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation? 2 4 6 8

Answer 1

Answer: 2

You can rotate the parallelogram twice to have it line up with itself (180 degrees, 360 degrees). An irregular parallelogram is one that has two sets of different sides. In other words, this parallelogram is not a rhombus. Recall that a rhombus has all 4 sides equal.

Answer 2

2 times.

Explanation:

Since, in a parallelogram the diagonals of bisect each other,

And, this point of intersection is called mid point of the diagonals of the parallelogram,

Also, the distance of any vertex of a figure from the point rotation is same as the distance of vertex of the transformed figure from the point of the rotation,

Therefore, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage after the rotation.

Hence, If a irregular parallelogram rotates 360° about the midpoint of its diagonal, then the image of the parallelogram coincide 2 times with its preimage during the rotation.

First option is correct.