As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
The answer is A.) 1/4(n-64) because if you distribute the 1/4 onto the parentheses it becomes n/4 - 16 which is equivalent to 1/4 - 16 if n were to equal 1.