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 (-2, 1). R is at (-2, 7). S is at (-8, 1). T is at (4, 2).U is at (4, 5). V is at (1,2)

Below

Step-by-step explanation:

We want to prove that RS and UV have the same slope.

The coordinates of the four points:

● R(-2,7)

● S(-8,1)

● U(4,5)

● V(1,2)

Let's start by calculating the slope of RS.

Let m be the slope of RS:

● m=(7-1)/[-2-(-8)]= 6/(-2+8)=6/6 = 1

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the slope of UV

Let m' be the slope of UV

● m' = (2-5)/(1-4)= (-3)/(-3) = 1

●●●●●●●●●●●●●●●●●●●●●●●●

m = m' so UV and RS have the same slope.

5/12, or 5: 12

step-by-step explanation: