Triangle QRS is similar to triangle TUV. Using the image below, prove that lines RS and UV have the same slope. You must show all of your work to receive credit. (10 points) Triangles QRS and TUV are shown. Q is at negative 2, 1. R is at negative 2, 7. S is at negative 8, 1. T is at 4, 2.U is at 4, 5

Triangle QRS is a dilation of 2 of triangle TUV. This means that all of their angles are the same. Counting out the units in the graph, SQ = 6 QR = 6 SR = 6/6. Compared to TUV: VT = 3 TU = 3 VU = 3/3. The slope of UV is 3/3 and the slope of RS is 6/6. If we dilate TUV by 2 then we get a congruent triangle.