In $Δ A B C a n d Δ P Q R$ , AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then which of the following is true?

$Δ A B C ≅ Δ R Q P$

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$Δ A B C ≅ Δ Q R P$

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$Δ A B C ≅ Δ P Q R$

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$Δ B A C ≅ Δ P Q R$

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Solution

The correct option is C
$Δ A B C ≅ Δ P Q R$

In $Δ A B C a n d Δ P Q R$

AB = PQ = 4cm , (Given)

BC = QR = 5 cm, (Given)

AC = PR = 6 cm; (Given)

Hence, $Δ A B C ≅ Δ P Q R$ (By SSS criterion).

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Similar questions

In $Δ A B C$ , AB = 4 cm, BC = 5 cm, AC = 6 cm. In $Δ P Q R$ , PQ = 4 cm, QR = 5 cm, PR = 6 cm. Which of the following is true?

Question 73

State whether the statement is True or False.

In $Δ A B C$ , AB = 3.5 cm, AC = 5 cm, BC = 6 cm and in $Δ P Q R$ , PR = 3.5 cm, PQ = 5 cm, RQ = 6 cm. Then, $Δ A B C ≅ Δ P Q R$

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

In ΔABC and PQR, AB=QR, BC=RP, AC=QP. So,

A B = 5 c m, B C = 4 c m

A C = 6 c m

Δ A B C

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