Question

Triangle QRS is similar to triangle TUV. Using the image below, prove that lines RS and UV have the same slope. Q(-2,1) R(-2,7) S(-8,1) T(4,2) U(4,5) V(1,2)

Answer 1

Below!

Explanation:

R(-2, 7) & S(-8, 1)

`m=slope`

`m=(y_2-y_1)/(x_2-x_1)`

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

`m=(-6)/(-6)` or
`m=1`

The slope of RS is 1

U(4, 5) & V(1, 2)

`m=slope`

`m=(y_2-y_1)/(x_2-x_1)`

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

`m=(-3)/(-3)` or
`m=1`

The slope of UV is 1