ΔΑΟΒADOC (AAS tule)mid-point of BC.CISE 7.1ilateral ACBD, AC AD an

1.	ΔΑΟΒADOC (AAS tule)mid-point of BC.CISE 7.1ilateral ACBD, AC AD and AB bisects LAat AABC AABD.you say about BC and BD?a quadrilateral in which ADBC and
Answer» Given: In quadrilateral ABCD, AC = AD & AB bisects ∠A i.e, ∠CAB = ∠DAB To prove, ΔABC ≅ ΔABD Proof,In ΔABC& ΔABD, AB = AB (Common) AC = AD (Given)∠CAB =∠DAB(AB is bisector) Hence, ΔABC ≅ ΔABD.(by SAS congruence rule) Then,BC= BD (by CPCT) Thus,BC & BAD are equal.

ΔΑΟΒADOC (AAS tule)mid-point of BC.CISE 7.1ilateral ACBD, AC AD and AB bisects LAat AABC AABD.you say about BC and BD?a quadrilateral in which ADBC and

Answer»

Given: In quadrilateral ABCD,

AC = AD & AB bisects ∠A i.e, ∠CAB = ∠DAB

To prove,

ΔABC ≅ ΔABD

Proof,In ΔABC& ΔABD,

AB = AB (Common)

AC = AD (Given)∠CAB =∠DAB(AB is bisector)

Hence, ΔABC ≅ ΔABD.(by SAS congruence rule)

Then,BC= BD (by CPCT)

Thus,BC & BAD are equal.