Question

In quadrilateral ACBD
AC=AD and AB bisects /_A.
Show that ABC =~ABD.
What can you say about BC and BD

(=triangle)
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Answer 1

Answєr :

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.

Hope this helps you !

Answer 2

Answer:

for triangles to de similer

triangle ADB=~ triangle ACB

AD=AD (given)

AB=AB (commom side)

angle DAB= angle CAB (AB is bisector of angle A)

therefoer

triangle ADC =~ triangle ACB

Step-by-step explanation:

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