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

Question

In quadrilateral ACBD, AC = AD and AB bisects &#x2220; A (see Fig. 7.16). Show that &#x394; ABC &#x2245; &#x394; ABD. What can you say about BC and BD?

Philoid · Accepted Answer

It is given in the question that:

AC = AD and,

AB bisects ∠A

To prove:

Proof: In

AB = AB (Common)

AC = AD (Given)

∠CAB = ∠DAB (AB is bisector)

Therefore,

By SAS congruence,

BC and BD are of equal length

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

In quadrilateral ACBD,
AC = AD and AB bisects ∠ A (see Fig. 7.16). Show that Δ ABC ≅Δ ABD.

What can you say about BC and BD?