Question

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
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

Answer:

Part A: I think only think that the scale factor of dilation is 1/7. The original triangle is reflected by the x-axis by 14 units. The triangle P'Q'R' is a total of 2 blocks up.

Part B: I really do not know this I am very sorry. :_(

Part C: No they are not congruent, the triangle PQR is bigger. In order for a shape to be congruent it must be the same size and have the same vertices.

Step-by-step explanation:

Answer 2

Answer:

Hi myself Shrushtee.

Step-by-step explanation:

P' = 1/3 P

reflection in the y-axis just changes the sign of all the x-values.

Since P" ≅ P', and P' is smaller than P, P" cannot be ≅ to P

It is, however, similar to P.

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