Question

Triangle DEF and triangle CBD are similar right triangles. What statement about the slopes DF and CD is true?

Answer 1

Similar triangles may or may not have equal side lengths

The true statement is (a) the slope of DF is equal to the slope of CD

How to determine the slopes of DF and CD

The similar triangles are given as:

Triangle DEF and triangle CBD

The above means that the corresponding lines DF and CD have equal slope

The slope of segment DF is calculated as:

$m =\frac{7 - (-2)}{1 - (-2)}$

While the slope of segment CD is:

$m =\frac{-2 - 4}{-2 - 0}$

Hence, the true statement is (a)

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