Question

Triangles PQR and RST are similar right triangles.

Answer 1

Answer:

A. $\frac{3 - 7}{-4 -(-7)} = \frac{-5 - 3}{2 - (-4)}$

Step-by-step explanation:

Slope of PR = $\frac{y_2 - y_1}{x_2 - x_1}$

Where,

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

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

Slope of PR = $\frac{3 - 7}{-4 -(-7)}$

Slope of RT = $\frac{y_2 - y_1}{x_2 - x_1}$

Where,

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

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

Slope of RT = $\frac{-5 - 3}{2 - (-4)}$

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

$\frac{3 - 7}{-4 -(-7)} = \frac{-5 - 3}{2 - (-4)}$