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)
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
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
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.
Join our real-time social learning platform and learn together with your friends!