Question

in quadrilateral ABCD AC = ad and ab bisect angle a show that angle abc parallel angle ABD what can you say bc and bd​

Answer 1

Answer:

see ur answer

Step-by-step explanation:

in triangle ABC and ABD, we have,

AC =AD (Given)

angle CAB = angle BAD (ABC bisects angle A)

AB = AB (common)

and by SAS congruence criterion, we have,

triangle ABC = triangle ABD

= BC = BD

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)

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