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

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

$∠ B A D = ∠ C A D$ [AD is the bisector of $∠ A$ ]

AD is the common side

AB = AC [Given]

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, by which criterion $△$ ACD and $△$ ABD are congruent?

In the figure, AB = BC and AD is perpendicular to CD. Then, $AC^2=$

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

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

Δ A B C

Δ A D B

Δ A D C

Join BYJU'S Learning Program