Question

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Triangle LKJ is similar to triangle TSR. Which of the following statements is true?
A.
The slope of JL is equal to the slope of RT.

B.
The slope of KJ is equal to the slope of RT.

C.
The slope of KJ is equal to the slope of TS.

D.
The slope of JL is equal to the slope of SR.

Answer 1

Look at the picture.

Angles KJL and SRT are Corresponding angles. JK is parallel to RS. Therefore

m∠KJL = m∠SRT

A. The slope of JL is equal to the slope of RT.

Other method.

Calculate the slope.

The formula of a slope:

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

We have the points J(-6, -6) and L(2, -2). Substitute:

$m=\dfrac{-2-(-6)}{2-(-6)}=\dfrac{-2+6}{2+6}=\dfrac{4}{8}=\dfrac{1}{2}$

The slope of JL is 1/2.

We have the points R(4, -1) and T(8, 1). Substitute:

$m=\dfrac{1-(-1)}{8-4}=\dfrac{1+1}{4}=\dfrac{2}{4}=\dfrac{1}{2}$

The slope of RT is 1/2.

Answer 2

From the figure, the slope of RT is the same as the same of JL.

Similar figures

Two figures are said to be similar if the they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, both triangle TSR and LJK are similar.

The slope of RT is the same as the same of JL.

Find out more on Similar figures at: https://brainly.com/question/22143822