If triangles in figure are similar. Write the similarity criterion used by you for answering the question.

S A S

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S S S

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A A S

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A A A

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Solution

The correct option is B $S A S$
In $△ M N L$ , $M N = 3$ and $M L = 5$
Thus, $\frac{M N}{M L} = \frac{3}{5}$
In $△ P Q R$ , $P Q = 6$ and $Q R = 10$
Thus, $\frac{P Q}{Q R} = \frac{6}{10} = \frac{3}{5}$
In $△ M N L$ and $△ P Q R$
$\frac{M N}{M L} = \frac{P Q}{Q R} = \frac{3}{5}$
$∠ M = ∠ Q = 70^{\circ}$
Thus, $△ M N L \sim △ Q P R$ (SAS rule)

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Similar questions

Q. State which pair of triangles in figure are similar. Write the similarity criterion used by you for answering the question.

Q. State which pair of triangles in figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form:

State which pairs of triangles in the following figure are similar? Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Q. Question 1 (v)
State whether the pair of triangles in the below figure is similar. Write the similarity criterion used by you for answering the question and also write the pair of similar triangles in the symbolic form:

In the adjoining figure, $△ F G H$ and $△ Q P R$ are

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If triangles in figure are similar. Write the similarity criterion used by you for answering the question.

The correct option is B SASIn △MNL, MN=3 and ML=5 Thus, MNML=35In △PQR, PQ=6 and QR=10Thus, PQQR=610=35In △MNL and △PQRMNML=PQQR=35∠M=∠Q=70∘Thus, △MNL∼△QPR (SAS rule)