Respuesta :

Answer: Choice A

CF is perpendicular to AE

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Why is this?

Because triangle AFC is congruent to EFC, we can see that angle AFC = angle EFC (by CPCTC). Then notice how the two angles in question form a straight angle of 180 degrees. If each angle is x degrees, then,

x+x = 180

2x = 180

x = 180/2

x = 90

So angle AFC and angle EFC are both 90 degrees each. This leads to showing CF is perpendicular to AE.

Side note: triangle AEC is isosceles with AC = CE

Answer:

A. Line CF is perpendicular to line AE.

Explanation:

If you take a look at lines CF and AE, you can see that they are perfectly perpendicular.

Hope this helped and good luck! :)