Question

clare says, \last class i thought the parallelogram would have reflection symmetry. i tried using a diagonal as the line of symmetry but it didnt work. so now im doubting that it has rotation symmetry.\ lin says, \i thought that too at first, but now i think that a parallelogram does have rotation symmetry. here, look at this.\ how could lin describe to clare the symmetry she sees?

Explanation:

Step1: Recall rotation - symmetry concept

A shape has rotation symmetry if it can be rotated around a point by an angle less than 360° and still look the same.

Step2: Identify the center of rotation for parallelogram

For a parallelogram, the center of rotation is the point of intersection of its diagonals.

Step3: Determine the angle of rotation

When a parallelogram is rotated 180° around the intersection - point of its diagonals, it maps onto itself.

Answer:

Lin can tell Clare that a parallelogram has rotation symmetry. The center of rotation is the point where the two diagonals of the parallelogram intersect. When the parallelogram is rotated 180° around this point, the parallelogram will coincide with its original position.