Question

A parallelogram is drawn and then rotated 90°. Which statement is true? A) The two parallelograms are congruent because all parallelograms are congruent. B) The two parallelograms are not congruent because a rotation changes side length. C) The two parallelograms are not congruent because a rotation changes angle measures. D) The two parallelograms are congruent because a rotation does not change size and shape. A parallelogram is drawn and then rotated 90°. Which statement is true? A) The two parallelograms are congruent because all parallelograms are congruent. B) The two parallelograms are not congruent because a rotation changes side length. C) The two parallelograms are not congruent because a rotation changes angle measures. D) The two parallelograms are congruent because a rotation does not change size and shape.

Answer 1

I think the correct answer would be D. The two parallelograms are congruent because a rotation does not change size and shape.

Answer 2

Answer: D) The two parallelograms are congruent because a rotation does not change size and shape.

Step-by-step explanation:

Rotation transformation is a rigid transformation which create the image of a figure with same shape and size by rotating it by some degrees about the the center of rotation. It doesn't change size and shape of the figure.

When we rotate a figure about a point and if it doesn't change the shape then it is called rotational symmetry.

Therefore, only D is the right option.