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ASA Criteria for Congruency

State true/fa...

Question

State true/false:
If in $△ A B C a n d △ Q R P, A B = Q R, ∠ B = ∠ R a n d ∠ C = ∠ P .$
Then, by A.S.A criteria, $△ A B C$ and $△ Q R P$ are congruent.

True

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False

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Solution

The correct option is A True
In $△$ s, ABC and QRP,
Given, $B C = R P$
$∠ B = ∠ R$
$∠ C = ∠ P$
Thus, $△ A B C ≅ △ Q R P$ (By $A S A$ criteria)

Suggest Corrections

Similar questions

State the congruency of the given pair of triangles. In $Δ A B C$ and $Δ Q R P$ ,

AB = QR, $∠ B = ∠ R$ and $∠ C = ∠ P$ .

△ A B C

△ Q R P

∠ A

∠ Q

^{\circ}

∠ R

^{\circ}

∠ B

△ A B C

△ Q R P

∠ A

∠ Q

^{\circ}

∠ R

^{\circ}

∠ B

△ A B C \sim △ Q R P, \frac{A r (A B C)}{A r (Q R P)} = \frac{9}{4}

A B = 18 c m

B C = 15 c m

P R

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