Question 46

By which congruency criterion, the two triangles in the given figure are congruent?

a) RHS
b) ASA
c) SSS
d) SAS

Open in App

Solution

In $Δ P Q R$ and $Δ P Q S$ ,
PR = PS = a cm
RQ = SQ = b cm
PQ = PQ = Common line segment
$∴$ By SSS congruence criterion,
$Δ P Q R ≅ Δ P Q S$

Suggest Corrections

Similar questions

In fig., if AB = AC and PB = QC, then by which congruence criterion ΔPBC ≅ ΔQCB

Q. Which criterion for congruency of triangles makes

△

ABC and

△

ADC congruent?

Q. DF is equal to QR and

∠

Q equals

∠

D. Which is the closest criterion for congruency of triangles to prove the given two triangles are congruent?

Question 148 (ii)

In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.

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

Join BYJU'S Learning Program

Question 46 By which congruency criterion, the two triangles in the given figure are congruent? a) RHS b) ASA c) SSS d) SAS

In ΔPQR and ΔPQS, PR = PS = a cm RQ = SQ = b cm PQ = PQ = Common line segment ∴ By SSS congruence criterion, ΔPQR≅ΔPQS

Question 46

By which congruency criterion, the two triangles in the given figure are congruent?

a) RHS
b) ASA
c) SSS
d) SAS

In $Δ P Q R$ and $Δ P Q S$ ,
PR = PS = a cm
RQ = SQ = b cm
PQ = PQ = Common line segment
$∴$ By SSS congruence criterion,
$Δ P Q R ≅ Δ P Q S$