Question

Show four triangle as shown as adjoining by diagonals sides of rhombus are congruent

Answer 1

will just give an outline of how to prove it. You can write it up in a two-column proof. A rhombus is a parallelogram with four congruent sides. So, all sides of rhombus ABCD are congruent. That is AB ≅ BC ≅ CD ≅ AD We also know that the diagonals of a parallelogram bisect each other. Since a rhombus is a parallelogram, it also has this property. Therefore BE ≅ DE, AE ≅ CE. Therefore all 4 triangles are congruent by SSS.
hope it help's

Answer 2

Answer:

A rhombus is a parallelogram with four congruent sides.

So, all sides of rhombus ABCD are congruent.

i.e. AB≅BC≅CD≅AD

We also know that the diagonals of a parallelogram bisect each other,

Since a rhombus is a parallelogram, it also has this property.

∴BE≅DE,AE≅CE.

∴ all 4 triangles are congruent by SSS.