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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.

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

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer.

Sagot :

Answer:

Part A :

The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is divided by 3.

Part B :

P"(-1,2), Q"(0,3), R"(1,0)

Part C :

Triangle PQR and P"Q"R" are not congruent because congruent means equal and similar but triangle PQR and P"Q"R" are proportional because they are rational to each other but do not have the same measures of sides but the angles are congruent.

This is the graphing of the triangle.

View image av260191
part a: the scale factor of the dilation that makes triangle pqr to triangle p’q’r’ is divided by three
part b: p” -> (-1,2) q” -> (0,3) r” -> (1,0)
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