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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  5. Yeah no help ;)

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  6. I am very unsure what happened here, but the teacher is right. You should schedule tutoring or reread your module+notes. Cheating on sites is never a good idea, especially with academic integrity. Answers can be viewed as plagiarism if you just copy work off of the internet.

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  7. lol the teachers

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  8. I understand the teachers but for real I have a creepy teacher plus he spends most of his time talking about how our shirts are too low and that we should wear long pants because it will make people distracted. Also, he sends me to the office for when my underwear is visible when it isn't. My shirt is just white and any light color. Not much time to write notes.

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  9. 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)

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  10. In the figure shown, line AB is parallel to line CD.

    Part A: What is the measure of angle x? Show your work. (5 points)

    Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

    AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 64 degrees, angle QPR is equal to x, angle PRD is equal to 110 degrees.

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  11. In the figure shown, line AB is parallel to line CD.

    Part A: What is the measure of angle x? Show your work. (5 points)

    Part B: Explain how you found the measure of angle x by identifying the angl

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