Question

△DEF is rotated about point N to △D′E′F′ .

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

Select each correct answer.


DN¯¯¯¯¯¯≅D′N′¯¯¯¯¯¯¯¯

The corresponding side lengths in the image and the pre-image are not equal.

All corresponding points on the image and pre-image are equidistant to point N.

The image is the same size and shape as the pre-image.

Answer 1

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

Therefore,

1. The corresponding side lengths in the image and the pre-image are equal. Thus, option B is false.

2. Statement that all corresponding points on the image and pre-image are equidistant to point N is true, because rotation preserves the lengths of segments. This means that

• DN≅D'N';
• EN≅E'N';
• FN≅F'N'.

You also get that option A is true.

3. The image is the same size and shape as the pre-image is true statement according to the rotation properties.

Answer: option A, C and D are true.