Question

Quadrilaterals PQRS and P' * Q' * R * S' are shown below.

P

Q

S

S

R

Q'

Which series of transformations can be used to show that PQRS is similar to P' * Q' * R * S' ?

A. a 90° clockwise rotation about R followed by a dilation through R by scale factor (P' * Q')/(PQ)

B. a reflection across a vertical line passing through R followed by a dilation through R by a scale factor of (rQ)/(P' * Q')

C. a reflection across a vertical line passing through R followed by a dilation through R by a scale factor of (P' * Q)/(PQ)

D. a 90° clockwise rotation about R followed by a dilation through R by scale factor (PQ)/(P' * Q')


I think it’s a 90-degree clockwise rotation about R followed by a dilation with scale factor ⁠ PQ/P’Q

Answer 1

Yes, you are correct. The series of transformations that can be used to show that PQRS is similar to P' * Q' * R * S' is a 90° clockwise rotation about R followed by a dilation through R by a scale factor (PQ)/(P' * Q').