Question

2 06.02 MC

Answer 1

Answer:

Proved

Step-by-step explanation:

Given

The attached triangles

Required

Prove that $m_{RS} = m_{UV$ --- slope

From the attachment, we have:

$R \to (-2,7)$

$S \to (-8,1)$

So, the slope (m) is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{1 -7}{-8 --2}$

$m = \frac{-6}{-6}$

$m = 1$

Also, we have:

$U \to (4,5)$

$V \to (1,2)$

So, the slope (m) is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{2 - 5}{1 - 4}$

$m = \frac{- 3}{-3}$

$m = 1$

See that the slopes are equal;

$m = 1$ --------- in both cases