Question

EXERCISE 7.1
1. In quadrilateral ACBD.
AC = AD and AB bisects LA
(see Fig. 7.16). Show that A ABC = A ABD.
What can you say about BC and BD?
D
Fig. 7.16​

Answer 1

Answer:

your answer will  be that both BC and Cd are equal. lets see the explanation.

Step-by-step explanation:

ACBD is a quadrilateral

given:

AC=AD

AB bisects ∠A

∠DAB= ∠CAB

To prove: ΔABC ≅ ΔADB

Proof:

AC=AD (given)

∠DAB= ∠CAB (given)

AB = AB (common)

THEREFORE, ΔABC ≅ ΔABD (through SAS congruence)

hence BC = BD (CPCT= Corresponding parts of Congruent triangles)

Hence proved.

please mark me as the brainliest.

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 ❤