Question

Prove that the diagonals of the rhombus below bisect the interior angles.

Answer 1

We have to prove that E is the midpoint of AC and also the midpoint of BD.

Answer 2

How would you do that, cuty_shai2000?

Answer 3

Method I: Show triangle ABC is congruent to triangle ADC. Then, show triangle ABD is congruent to triangle CBD.

Method 2: If you have already proved that the diagonals of a rhombus are congruent and base angles of isosceles triangles are congruent, that is another way.

Method 3: Use definition of rhombus and the theorem that base angles of isosceles triangles are congruent.

Answer 4

from definition the sides of a rhombus are equales and paralleles
- because they are equales from this result that these angles are equales
- from definition the diagonales of a rhombus are perpendiculares and they halfed

- so from these all result that the diagonalsa are bisectors

Answer 5

I think I get what both of you are trying to say, so thank you for that, but I'm still confused.

Answer 6

pprove triangles ABE and CED are congruent, then BE=ED and AE = CE by CPCTC.

Answer 7

are triangles ABE and CED congruent by Vertical Angles Postulate?

Answer 8

by ASA postulate

Answer 9

many theorems that can support

Answer 10

Vertical Angles Theorem states that if two angles are vertical, then they are congruent. It has nothing to do with proving triangles congruent.