Question

1. In quadrilateral ABCD (See figure). AC = AD and AB bisects < A. Show
that A ABC = A ABD. What can you say about BC and BD?
c
B
D
Ans. Given in
teral ABCDAC AD and AB bisects – A​

Answer 1

Answer:

In △ABC and △ABD,

AC=AD (Given)

∠CAB=∠DAB (AB bisects ∠A)

AB=AB (Common)

∴△ABC≅△ABD (By SAS congruence rule)

∴BC=BD (By CPCT)

∴, BC and BD are of equal lengths.