Question

Triangles PQR and RST are similar right triangles.

Which proportion can be used to show that the slope of PR is egual to the slope of RT?

Answer 1

A.

Explanation:

Answer 2

A.
`(3 - 7)/(-4 -(-7)) = (-5 - 3)/(2 - (-4))`

Explanation:

Slope of PR =
`(y_2 - y_1)/(x_2 - x_1)`

Where,

`P(-7, 7) = (x_1, y_1)`

`R(-4, 3) = (x_2, y_2)`

Slope of PR =
`(3 - 7)/(-4 -(-7))`

Slope of RT =
`(y_2 - y_1)/(x_2 - x_1)`

Where,

`R(-4, 3) = (x_1, y_1)`

`T(2, -5) = (x_2, y_2)`

Slope of RT =
`(-5 - 3)/(2 - (-4))`

Therefore, the proportion that can be used to show that the slope of PR = the slope of RT is:

`(3 - 7)/(-4 -(-7)) = (-5 - 3)/(2 - (-4))`