Question

The square P Q R S is shown.



P has coordinates (negative 2, 2). Q has coordinates (2, 2). R has coordinates (2, negative 2). S has coordinates (negative 2, negative 2).

Question
A dilation image of square P Q R S with a scale factor 5 and center at the origin is drawn. The image is square P prime Q prime R prime S prime.



What is the ratio of the length of segment P prime Q prime to the length of segment Q prime R prime?

Answer options with 4 options
A.
1 colon 1

B.
4 colon 1

C.
5 colon 1

D.
25 colon 1

Answer 1

A. 1:1

Reason: Dilation by 5 gives P' = (-10,10), Q' = (10,10), R' = (10,-10). P'Q' = 20 and Q'R' = 20, so the ratio is 20:20 = 1:1.