A product designer is designing an easel with extra braces as shown in the diagram. Prove that if BD is congruent to FD and CD is congruent to ED, then the braces BE and FC are also congruent. (Two column proof)
The lines BD/FD and CD/ED are congruent because their length and angle are the same; also, BE and FC are congruent because of the previous congruence.
Congruence occurs if two geometric figures or lines match. This means the angles, length, etc. between the objects compared are the same.
Congruence can be proven using a two-column proof that is a chart that shows the statement or affirmation and the reason for it. Below you can find the two-column proof about the easel in the image:
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