Question

In quadrilateral ACBD.
AC = AD and AB bisects angle A. Show that triangle BC ≈ triangle ABD.
What can you say about BC and BD?​

Answer 1

Answer: Refer to attached figure

Step-by-step explanation:

Given : AC = AD.....1)

AB bisects angle A

i.e angle CAB = angle DAB.......2)

To prove triangle ABD =~ triangle ABD

Proof :

In triangle ABC and triangle ABD,

AB = AB       (common)

angle CAB = angle DAB     (from(2))

AC = AD

triangle ABC =~ triangle ABD      (SAS conguence rule)

.'. BC = BD      (CPCT)

.'. BC and BD are of wqual length

Hope this helps :)

Answer 2

Step-by-step explanation:

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