Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P (4, 0), Q (0, - 4), and R (-8, - 4). Triangle P'Q'R' has vertices P' (1, 0), Q' (0, - 1), and R' (-2, - 1).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer.

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis.

Question

Lincoln

English

24 April, 08:05

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P (4, 0), Q (0, - 4), and R (-8, - 4). Triangle P'Q'R' has vertices P' (1, 0), Q' (0, - 1), and R' (-2, - 1).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer.

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis.

+1

Answers (1)

Know the Answer?

Randall Alexander · Answer 1

1 : | PQ | = 2 √ 2; | P'Q' | = √2

So the scale factor is 2

2 : Simply changing the coordinates of (x, y) to (-x, y)

3 : Yes it is similar, but not congruent.