nbsp-In the given figure- If AB - AC- then nbsp- ABD - ACD by - criteria-ASASSSRHSSAS

The correct option is C RHS In ABD and ACD ∠ ADB =∠ ADC = 90^∘....(Given) AB = AC ..... nbsp; (Given) DA = DA ..... (Common side) So, by RHS criteria ...

You visited us 21 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Deducing Congruent Parts of Congruent Triangles

nbsp;In the g...

Question

In the given figure, If AB = AC, then
$△ A B D ≅ △ A C D$ by ____ criteria.

ASA

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

SSS

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

RHS

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

SAS

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

Open in App

Solution

The correct option is C RHS

In $△ A B D and △ A C D$

$∠ A D B = ∠ A D C = 90^{\circ}$ ....(Given)

AB = AC ..... (Given)

DA = DA ..... (Common side)

So, by RHS criteria for congruency of triangles,
$△ A B D ≅ △ A C D$

Suggest Corrections

Similar questions

Q. In the given figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD.

Q. In the given figure, if AB = AC, then

△ A B D ≅ △ A C D

by criteria.

Q. In the given figure, if AB = AC, then which of the following statement(s) is/are true?

Q. In the given figure, AB

=

AC, DB

=

DC then

∠

ABD

= ∠

ACD.

Q. In the given figure, If AB = AC, then

△ A B D ≅ △ A C D

by ____ criteria.

Join BYJU'S Learning Program

In the given figure, If AB = AC, then △ABD≅△ACD by ____ criteria.

The correct option is C RHS In △ABD and △ACD ∠ADB=∠ADC=90∘....(Given) AB = AC ..... (Given) DA = DA ..... (Common side) So, by RHS criteria for congruency of triangles, △ABD ≅ △ACD

In the given figure, If AB = AC, then
$△ A B D ≅ △ A C D$ by ____ criteria.

The correct option is C RHS

In $△ A B D and △ A C D$

$∠ A D B = ∠ A D C = 90^{\circ}$ ....(Given)

AB = AC ..... (Given)

DA = DA ..... (Common side)

So, by RHS criteria for congruency of triangles,
$△ A B D ≅ △ A C D$