2.(06.02 MC) 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)

For now, let's focus on segment RS

R = (-2, 7)

S = (-8, 1)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (1-7)/(-8-(-2))

m = (1-7)/(-8+2)

m = -6/(-6)

m = 1

The slope is 1.

Now turn your attention to segment UV

U = (4, 5)

V = (1, 2)

We should get a slope of 1. Let's find out

m = (y2 - y1)/(x2 - x1)

m = (2-5)/(1-4)

m = -3/(-3)

m = 1

We get the correct value.

Because segment RS and segment UV have the same slope (m = 1), this means the two segments are parallel. Imagine extending segment RS out infinitely in both directions. Do the same for segment UV. These two extended parallel lines will never intersect.

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step-by-step explanation: