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SSS Postulate

If in two tri...

Question

If in two triangles ABC and PQR , AB = PQ, AC = PR and BC = QR then which of the following is correct?

A

Δ

ABC ≅

Δ

PQR

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B

Δ

ABC =

Δ

PRQ

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C

Δ

BCA ≅

Δ

RQP

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D

Δ

BCA =

Δ

RQP

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Solution

The correct option is A $Δ$ ABC ≅ $Δ$ PQR
In $Δ$ ABC and $Δ$ PQR,
AB = PQ (Side)
AC = PR (Side)
BC = PQ (Side)
Hence, $Δ$ ABC≅ $Δ$ PQR [By SSS Congruency].

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Similar questions

Q. If in two triangles ABC and PQR , AB = PQ, AC = QP and BC = QR then

Δ

Δ

PQR, AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then

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

Δ A B C ≅ Δ P Q R

Δ C B A ≅ Δ P Q R

Δ B A C ≅ Δ B C A

Δ P Q R ≅ Δ B C A

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}

Δ P Q R \sim Δ C A B

Δ P Q R \sim Δ A B C

Δ C B A \sim Δ P Q R

Δ B C A \sim Δ P Q R

Choose the correct answer in each of the following:

$If AB = QR, BC = RP and CA = PQ then which of the following holds? (a) Δ A B C ≅ Δ P Q R (b) Δ C B A ≅ Δ P Q R (c) Δ C A B ≅ Δ P Q R (d) Δ B C A ≅ Δ P Q R$

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