8th Grade Pre-Algebra

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)

Please somebody help me. I have no idea what to do on this question.

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  1. 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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  2. Thank you both Writeacher and Steve for your help. I tried my best on this question )because I waited for help nobody helped) so this is the answer my teacher graded.
    CORRECT ANSWER: Triangle P' Q' R' is half the size of the original triangle. The scale factor is probably 1/3.
    Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).
    Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.

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  3. yall were no help at all

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  4. This is a test question from FLVS Pre-Algebra and should not be on this website.

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