In - ABC- - A- 30o - - B-40o and - C-110o In - PQR- - P- 30o - - Q-40o and - R-110o Then Is - ABC - PQR by AAA -

The correct option is B FalseNo he is not justified.For triangles to #160; be congruent , their all three sides must also be equal to the corresponding sides ...

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Standard IX

Mathematics

Angles

In Δ ABC, ∠...

Question

In $Δ A B C, ∠ A = 30^{o}, ∠ B = 40^{o}$ and $∠ C = 110^{o}$
In $Δ P Q R, ∠ P = 30^{o}, ∠ Q = 40^{o}$ and $∠ R = 110^{o}$
Then Is $Δ A B C ≅ Δ P Q R$ by AAA ?

True

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False

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Solution

The correct option is B False
No he is not justified.

For triangles to be congruent , their all three sides must also be equal to the corresponding sides of other triangle.

If only angles are equal to the corresponding angles of other triangle, then triangles are similar not congruent.

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Similar questions

In $△$ ABC, $∠ A = 30^{\circ}$ , $∠ B = 40^{\circ}$ and $∠ C = 110^{\circ}$ .

In $△$ PQR, $∠ P = 30^{\circ}$ , $∠ Q = 40^{\circ}$ and $∠ R = 110^{\circ}$ .

Then the two triangles are necessarily congruent.

Q. In

Δ A B C, ∠ A = 30^{\circ}, ∠ B = 40^{\circ} a n d ∠ C = 110^{\circ}

Δ P Q R, ∠ P = 30^{\circ}, ∠ Q = 40^{\circ} a n d ∠ R = 110^{\circ}

A student says that

Δ A B C ≅ Δ P Q R

by AAA congruence criterion. Is he justified? Why or why not?

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°

In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°

A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or why not?

Question 4
In $Δ A B C, ∠ A = 30^{\circ}, ∠ B = 40^{\circ} a n d ∠ C = 110^{\circ}$
In $Δ P Q R, ∠ P = 30^{\circ}, ∠ Q = 40^{\circ} a n d ∠ R = 110^{\circ}$
A student says that $Δ A B C ≅ Δ P Q R$ by AAA congruence criterion. Is he justified? Why or why not?

In $Δ$ ABC $\sim$ $Δ$ PQR by AAA criteria and $∠ B = ∠ R = 60^{\circ}$ . Find $∠$ RPQ.

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In ΔABC,∠A=30o,∠B=40o and ∠C=110o In ΔPQR,∠P=30o,∠Q=40o and ∠R=110o Then Is ΔABC≅ΔPQR by AAA ?

The correct option is B FalseNo he is not justified.For triangles to be congruent , their all three sides must also be equal to the corresponding sides of other triangle.If only angles are equal to the corresponding angles of other triangle, then triangles are similar not congruent.

In $Δ A B C, ∠ A = 30^{o}, ∠ B = 40^{o}$ and $∠ C = 110^{o}$
In $Δ P Q R, ∠ P = 30^{o}, ∠ Q = 40^{o}$ and $∠ R = 110^{o}$
Then Is $Δ A B C ≅ Δ P Q R$ by AAA ?

The correct option is B False
No he is not justified.

For triangles to be congruent , their all three sides must also be equal to the corresponding sides of other triangle.

If only angles are equal to the corresponding angles of other triangle, then triangles are similar not congruent.