Question

The graph shows a dilation of trapezoid TRAP with respect to the origin.


Which statements are true about the figures? Select three options.

The factor of dilation is .
The ratio of the perimeter of TRAP to the perimeter of T'R'A'P' is .
The ratio of the x-coordinate of P’ to the x-coordinate of P is .
The ratio of PT to P'T' is .
The ratio of the y-coordinate of R’ to the x-coordinate of R is .

Answer 1

Hello, @avziliz. May you please post the graph for further assistance.

Answer 2

A lot of the numbers from the original problem are missing but here's what you'll need to calculate:

- the factor of dilation. to determine this, calculate the length of any side on T'R'A'P, and then the length of the **corresponding** side on TRAP. example: if you calculate T'R', you'll also need to calculate TR.

then, to find the factor of dilation, divide the side of T'R'A'P by the side of TRAP

- ratio of the perimeter

perimeter is a linear dimension, so the ratio of perimeters is the same as the ratio of sides from the previous step

- The ratio of the x-coordinate of P’ to the x-coordinate of P is ---> simply divide (x-coordinate of P') / (x-coordinate of P)

- The ratio of PT to P'T' ---> use the distance formula to calculate the lengths of PT and P'T' then divide PT/P'T'

- The ratio of the y-coordinate of R’ to the x-coordinate of R ---> simply divide (y-coordinate of R') / (y-coordinate of R)

like the problem suggests, you should have three true statements after the calculations are done