If in two triangles - ABC and - PQR- AB - QR- BC - PR and CA - PQ- then -

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Standard IX

Mathematics

SSS Criteria for Congruency

If in two tri...

Question

If in two triangles $Δ A B C$ and $Δ P Q R$ , $A B = Q R, B C = P R$ and $C A = P Q,$ then :

Δ A B C ≅ Δ P Q R

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Δ C B A ≅ Δ P R Q

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Δ B A C ≅ Δ R P Q

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Δ P Q R ≅ Δ B C A

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Solution

The correct option is B $Δ C B A ≅ Δ P R Q$
In $△ A B C$ and $△ P Q R$ , we are given
$A B = Q R$ ,
$B C = P R$
and $C A = P Q$
$∴ Δ C B A ≅ Δ P R Q$ .... SSS test

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Similar questions

Q. Question 4
If in two triangles

Δ A B C a n d Δ P Q R, \frac{A B}{Q R} = \frac{B C}{P R} = \frac{C A}{P Q}

, then

(A)

Δ P Q R \sim Δ C A B

(B)

Δ P Q R \sim Δ A B C

(C)

Δ C B A \sim Δ P Q R

(D)

Δ B C A \sim Δ P Q R

Q. Question 2
If AB = QR, BC+PR and CA = PQ, then
(A)

Δ A B C ≅ Δ P Q R

(B)

Δ C B A ≅ Δ P Q R

(C)

Δ B A C ≅ Δ B C A

(D)

Δ P Q R ≅ Δ B C A

Q. Question 4
If in two and

Δ A B C a n d Δ P Q R, \frac{A B}{Q R} = \frac{B C}{P R} = \frac{C A}{P Q}

, then

(A)

Δ P Q R \sim Δ C A B

(B)

Δ P Q R \sim Δ A B C

(C)

Δ C B A \sim Δ P Q R

(D)

Δ B C A \sim Δ P Q R

Q. If AB = QR, BC = RP and CA = PQ, then which of the following holds?
(a) ∆ABC ≅ ∆PQR
(b) ∆CBA ≅ ∆PQR
(c) ∆CAB ≅ ∆PQR
(d) ∆BCA ≅ ∆PQR

In $Δ A B C a n d Δ P Q R$ , $A B = 4 c m, B C = 5 c m, A C = 6 c m$ and $P Q = 4 c m, Q R = 5 c m, P R = 6 c m$ , then which of the following is true?

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If in two triangles ΔABC and ΔPQR, AB=QR,BC=PR and CA=PQ, then :

The correct option is B ΔCBA≅ΔPRQIn △ABC and △PQR, we are givenAB=QR,BC=PRand CA=PQ∴ΔCBA≅ΔPRQ .... SSS test

If in two triangles $Δ A B C$ and $Δ P Q R$ , $A B = Q R, B C = P R$ and $C A = P Q,$ then :

The correct option is B $Δ C B A ≅ Δ P R Q$
In $△ A B C$ and $△ P Q R$ , we are given
$A B = Q R$ ,
$B C = P R$
and $C A = P Q$
$∴ Δ C B A ≅ Δ P R Q$ .... SSS test