Question

So, O is the mid-point of BC.
- EXERCISE 7.1
1. In quadrilateral ACBD,
AC = AD and AB bisects ZA
(see Fig. 7.16). Show that A ABC=A ABD.
What can you say about BC and BD?
Fig. 7.16​

Answer 1

hope it helps you......

Answer 2

Solutions:

In △ABC and △ABD, we have

AC = AD ........... [Given]

∠CAB = ∠DAB ........ [Since, AB is the bisector of ∠DAC]

and,. AB = AB ............ [Common]

So, by SAS congruence rule, we obtain

△ABC ≅ △ABD

=> BC = BD .......... [By c.p.c.t.]