Question

In quadrilateral ACBD,
AC = AD and AB bisects LA
(see Fig. 7.16). Show that AABC = A ABD.
What can you say about BC and BD?​

Answer 1

Explanation:

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.