Question

12
14
Line tis graphed below. Triangle ABC and triangle CDE are similar triangles,
D
8
line
Which statement is true?
A The slope of AC is less than the slope of CE.
B The slope of AC is equal to the slope of CE.
С The slope of AC is greater than the slope of CE.
D Line t has a variable slope.

Answer 1

The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.

What is the Slope of the Sides of Similar Triangles?

On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.

Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.

Thus, slope of AC = slope of CE.

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