In the given figure AD is the bisector of $∠$ A and AB = AC. Then, by which criterion $△$ ACD and $△$ ABD are congruent?

SSS

No worries! We‘ve got your back. Try BYJU‘S free classes today!

SAS

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

ASA

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
SAS

In $△$ ACD and $△$ ABD

$∠ B A D = ∠ C A D$
[ $∵$ AD is the bisector of $∠ A$ ]
AD = AD [common side]
AB = AC [Given]

$△ A C D ≅ △ A B D$ [SAS congruency]
The triangles are congruent by SAS congruence rule.

Suggest Corrections

Similar questions

In the given figure AD is the bisector of $∠$ A and AB = AC. Then $△$ ACD, $△$ ABD are congruent by which criterion?

In the given figure AD is the bisector of $∠$ A and AB = AC. Then, by which criterion $△$ ACD and $△$ ABD are congruent?

∠

=

Δ

Δ

△ A B D ≅ △ A C D

In the given figure it is given that AB = CF, EF = BD and $∠$ AFE = $∠$ DBC. Then $△$ AFE is congruent to $△$ CBD by which criterion?

Join BYJU'S Learning Program