!!25 points!!! Which of the following are necessary when proving that the diagonals of a
rectangle are congruent? Check all that apply.
A. Opposite sides are perpendicular.
B. Corresponding parts of congruent triangles are congruent
C. Corresponding parts of similar triangles are similar.
D. Opposite sides are congruent.

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paytonkoger28 paytonkoger28 · Answer 1 · 2020-05-10T00:17:05+02:00

Answer:

D + B

(CPCTC + opposite sides are congruent)

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eudora eudora · Answer 2 · 2021-08-12T14:26:16+02:00

In the rectangle ABCD,

AC and BD are the diagonals intersecting each other at a point E.

To prove the diagonals AC and BD equal, we have to prove ΔADE and ΔBCE congruent.

By proving both the triangles congruent, corresponding parts of both the triangles will be congruent.

AE ≅ CE

DE ≅ EB

AD ≅ BC

By adding both the segments,

AE + CE ≅ DE + EB [By addition postulate of two segments]

AC = DB

Therefore, by using the property of CPCTC in the triangles ΔADE and ΔBCE, corresponding sides will be congruent.

Options B and D will be the correct options.

Learn more about the property of congruence from,

https://brainly.com/question/3398476