Question

Prove that the diagonals of the rhombus bisect the interior angles

Answer 1

you will need to prove congruency

e.g Triangle ABD and Triangle BDC

AB = BC ( given sides of a rhombus are equal)
AD = CD ( given sides of a rhombus are equal)
AD ( common side)

therefore triangles ABD and BDC are congruent by Side Side Side Test

then angle ABE is equal to angle CBE corresponding angles in congruent triangles are equal.

angle ADE is equal to CDE corresponding angles in congruent triangles are equal

therefore AD bisects angles ABC and ADC

same type of proof for triangles ABC and ADC

hope it helps

Answer 2

It does Thanks!!!