In the figure, if $∠ B = ∠ Q$ , then:

$△ A B C \sim △ P Q R$

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$△ A B C \sim △ R Q P$

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$△ C B A \sim △ Q P R$

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$△ C B A \sim △ Q P R$

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Solution

The correct option is A
$△ A B C \sim △ P Q R$

In $△ A B C a n d △ P Q R$
$\frac{A B}{P Q} = \frac{B C}{Q R} = \frac{2}{1}$
$∠ B = ∠ Q$
Therefore, $△ A B C \sim △ R Q P$ by SAS similarity.

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In the figure, if ∠B=∠Q, then:

The correct option is A △ABC∼△PQR In △ABC and △PQR ABPQ=BCQR=21 ∠B=∠Q Therefore, △ABC∼△RQP by SAS similarity.

In the figure, if $∠ B = ∠ Q$ , then:

The correct option is A
$△ A B C \sim △ P Q R$

In $△ A B C a n d △ P Q R$
$\frac{A B}{P Q} = \frac{B C}{Q R} = \frac{2}{1}$
$∠ B = ∠ Q$
Therefore, $△ A B C \sim △ R Q P$ by SAS similarity.