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- True-False-A- TrueB- False

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Byju's Answer

Standard VII

Mathematics

Congruent Triangles

In ABC , ∠ A ...

Question

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

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

Then the two triangles are necessarily congruent. True/False?

True

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False

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Solution

The correct option is B
False

If all the corresponding angles of two triangles 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, $∠ A = 30^{\circ}$ , $∠ B = 40^{\circ}$ 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?

Q. In

△ A B C

and

△ P Q R

B C = Q R, ∠ A = 90^{\circ}, ∠ C = ∠ R = 40^{\circ} a n d ∠ Q = 50^{\circ} .

Above two triangles are congruent by ASA test
If true then enter

1

else if False enter

0.

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. True/False?

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

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

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

Then the two triangles are necessarily congruent. True/False?

The correct option is B
False

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