Question

Giving brainy

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).

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. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answer 1

^i also got that same answer!

Answer 2

The scale factor from triangle PQR to P'Q'R' is 1/4.

The length of each side of the triangle is divided by 4, in other words it is multiplied by the scale factor of 4.

If P'Q'R" is reflected over the y-axis the new points would be: (1, 0) (0, 1) and (-2, 1).

No, the triangles are not congruent. There was a dilation of 1/4 in the triangles.

Explanation: