Math, asked by kristalmari84, 29 days ago


Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, −1), and R'(−2, −1).

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)


Need answer fast! Please and thank you!! <3

Answers

Answered by shiney39
3

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.

OR

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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