In - ABC and - PQR- - A - - Q and - B - - R- which side of a - PQR should be equal to side AB of - ABC- so that the two triangles are congruent- Give reason for your answer-

We are given that, in nbsp;Δ nbsp;ABC and nbsp;Δ PQR, ∠ nbsp;A= ∠ Q nbsp;and nbsp;∠ B= ∠ R AB and QR are included between equal angles. nbsp; ...

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Byju's Answer

Standard VII

Mathematics

Corresponding Parts of Congruent Triangles

In Δ ABC and ...

Question

In $Δ A B C$ and $Δ P Q R$ , $∠ A = ∠ Q$ and $∠ B = ∠ R$ . which side of a $Δ P Q R$ should be equal to side AB of $Δ A B C$ , so that the two triangles are congruent? Give reason for your answer.

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Solution

We are given that, in $Δ A B C$ and $Δ P Q R, ∠ A = ∠ Q$ and $∠ B = ∠ R$

AB and QR are included between equal angles. Hence, the side of $Δ P Q R$ is QR which should be equal to side AB of $Δ A B C$ , so that the triangles are congruent by the rule ASA

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Similar questions

Q. Question 1
In

Δ A B C

and

Δ P Q R

∠ A = ∠ Q

and

∠ B = ∠ R

. which side of a

Δ P Q R

should be equal to side AB of

Δ A B C

, so that the two triangles are congruent? Give reason for your answer.

Q. In

Δ A B C

and

Δ P Q R, ∠ A = ∠ Q

and

∠ B = ∠ R

which side of

Δ P Q R

should be equal to the side

A B

Δ A B C

, so two triangles become congruent. Give reason to your answer.

Q. In triangles

A B C

and

P Q R, ∠ A = ∠ Q

and

∠ B = ∠ R

. Which side of

Δ P Q R

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Δ A B C

so that the two triangle are congruent? Give reason for your answer.

Q. In

△ A B C

and

△ P Q R

∠ A = ∠ Q

and

∠ B = ∠ R .

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so that the two triangles are congruent?

Q. In the following figures, two sides of

Δ A B C

A B

and

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and median

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are respectively equal to

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In ΔABC and ΔPQR, ∠A=∠Q and ∠B=∠R. which side of a ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give reason for your answer.

We are given that, in ΔABC and ΔPQR,∠A=∠Q and ∠B=∠R AB and QR are included between equal angles. Hence, the side of ΔPQR is QR which should be equal to side AB of ΔABC, so that the triangles are congruent by the rule ASA

In $Δ A B C$ and $Δ P Q R$ , $∠ A = ∠ Q$ and $∠ B = ∠ R$ . which side of a $Δ P Q R$ should be equal to side AB of $Δ A B C$ , so that the two triangles are congruent? Give reason for your answer.

We are given that, in $Δ A B C$ and $Δ P Q R, ∠ A = ∠ Q$ and $∠ B = ∠ R$

AB and QR are included between equal angles. Hence, the side of $Δ P Q R$ is QR which should be equal to side AB of $Δ A B C$ , so that the triangles are congruent by the rule ASA