Triangle EFG and triangle HJK are similar triangles.
Which proportion proves that the slope of EG equals the slope of HK?

Option B:

Solution:

Triangle EFG and Triangle HJK are similar triangles.

Both triangles have the common line.

In triangle EFG, E(0, –1) and G(2, 1).

Here,

Slope of the line:

– – – – (1)

m = 1

In triangle HJK, H(–1, –2) and K(3, 2).

Here,

Slope of the line:

– – – – (2)

m = 1

Both slopes are equal. so that (1) and (2) are equal.

Hence Option B is the correct answer.

yes

step-by-step explanation:

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step-by-step explanation:

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