Question

In quadrilateral ACBD, AC=AD&AB bisects angleA.Show that triangle ABC congurent to triangleABC .what can you say about bc &bd

Answer 1

in quadrilateral abcd given that ac=ad and an bisects angle a

so
Ac=Ad(given)
angle dab =angle cab (given)
and,
an(common side)

so
according to SAS congruency they are congruent
and BC=BD
becoz cpct


pls mark my answer as brilliant pls

Answer 2

Question :-

In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see figure). Show that ∆ABC ≅ ∆ABD. What can you say about BC and BD?

Answer :-

In quadrilateral ACBD, we have AC = AD and AB being the bisector of ∠A.

Now, In ∆ABC and ∆ABD,

AC = AD (Given)

∠ CAB = ∠ DAB ( AB bisects ∠ CAB)

and AB = AB (Common)

∴ ∆ ABC ≅ ∆ABD (By SAS congruence axiom)

∴ BC = BD (By CPCT)

Plz mrk as brainliest ❤