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Mathematics 21 Online
4804254251:

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)

Mercury:

thoughts? the triangle is being dilated from the origin which makes the calculations much easier compare two corresponding coordinates, for example P and P' P(3, −6) ---> P'(1, −2) what number do you have to multiply P to get to P'? this number is your scale factor for part A

Mercury:

part B) Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points) to do this numerically, simply multiply the y-coordinates of P'Q'R' by -1

Mercury:

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points) for this part, think about whether a dilation + reflection combo changes the side lengths or not. if you're still confused, please review rigid vs non rigid transformations.

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