Triangles and are shown on the coordinate plane below.

The slope of A-C is at point B. A-B is parallel to x-axis and C-B is parallel to y-axis and slope of D-F is at point E. D-E is parallel to x- axis and F-E is parallel to y-axis. The slope of line A-F is at point P and A-P is parallel to x-axis and F-P is parallel to y-axis.

Which statement explains why the slope of

is equal to the slope of

?

A.
The ratio of to is equal to the ratio of to .

B.
The ratio of to is equal to the ratio of to .

C.
The ratio of to is equal to the ratio of to .

D.
The ratio of to is equal to the ratio of to .

1 answer

B. The ratio of AB to DF is equal to the ratio of BC to EF.
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