Question

△QRS is rotated about point P to △Q′R′S′ .

Which statements are true about the pre-image and image?

Select each correct answer.


a. The shape of the pre-image and the image is preserved, but the size is not.

b. The image is smaller than the pre-image.

c. The corresponding angle measurements in each triangle between the pre-image and the image are preserved.

d. The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.

Answer 1

A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.

Therefore,

• option A is false, because rotation preserves sizes;
• option B is false, because rotation doesn't change the figure size;
• option C is true, because rotation preserves figure angles;
• option D is true, because rotation preserves lenghts of segments.

Answer: option C and D.