In ABC - - A -30- - B -40- and - C -110-In PQR - - P -30- - Q -40- and - R -110-Then the two triangles are necessarily congruent-A- TrueB- False

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Standard VIII

Mathematics

Properties of Angles Formed by Two Parallel Lines and a Transversal

In ABC , ∠ A ...

Question

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

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

Then the two triangles are necessarily congruent.

True

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False

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Solution

The correct option is B
False

If all the corresponding angles of the two triangles are same, the triangles will have the same shape, but not necessarily the same size and hence may not be congruent.

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Similar questions

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

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

Then the two triangles are necessarily congruent.

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^{o}, ∠ B = 40^{o}

and

∠ C = 110^{o}

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 ?

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?

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In △ABC, ∠A=30o , ∠B=40o and ∠C=110o In △PQR, ∠P=30o , ∠Q=40o and ∠R=110o. Then the two triangles are necessarily congruent.

The correct option is B False If all the corresponding angles of the two triangles are same, the triangles will have the same shape, but not necessarily the same size and hence may not be congruent.

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

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

Then the two triangles are necessarily congruent.

The correct option is B
False

If all the corresponding angles of the two triangles are same, the triangles will have the same shape, but not necessarily the same size and hence may not be congruent.