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Please help me quick :(

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)

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User Jackdoe
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1 Answer

5 votes

Answer:

I don't know how helpful I'll be, sorry :(

Explanation:

So the scale factor is 1/4 reduction because the triangle P'Q'R' is smaller than the original. When reflecting the triangle P'Q'R' over the Y axis, you'll have P"Q"R". The graphing might be a little confusing but it's just a vertical reflection.

P" = (-1,0)

Q"= (0,-1)

R"= (2,-1)

Triangles PQR and P"Q"R" are not congruent because P"Q"R" has had a 1/4 reduction and a vertical reflection.

Please help me quick :( Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR-example-1
Please help me quick :( Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR-example-2
User ALL
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