Question

In the given figure, AB is perpendicular to BD, CD is perpendicular to BD and AB = CD.
prove that:
1) triangle ABD is congruent to triangle CDB
2) AD = CB​

Answer 1

Answer:

Statement. Reason

Line AB = line BC. Given

AngleDBA= ANGLE BDC. GIVEN

LINE BD IS THE SAME SIDE SO IT IS EQUAL

ANS1. ABD = CDB BY RHS CONGRUENCY

ANS 2. IT WILL BE EQUAL BECAUSE IT IS ALREADY PROVEN THAT THE TRIANGLES ARE EQUAL.

Answer 2

Answer:

in triangle ABD and triangle CDB

AB=CD (given)

angle ABD =angle BDC =90°

BD=BD (common)

=∆ABD =~ ∆CBD (S-A-S)

AD=CB (cpct)