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.

Question

Mathematics

Makayla Day

1 November, 04:41

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.

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Answers (1)

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Brodie · Answer 1

Part a (1/3x, 1/3y) because it divides by 3

part b p" (-1,-2), q" (0,3), r" (1,0)

part c No because since we dilated the triangle by three and reflected the smaller one it would not be congruent do to the change in size.