In - LMN and - PQR- LN-QP - MN-QR- Then- these triangles will be similar if-

The correct option is D ∠ N = ∠ QGiven that in Δ LMN and Δ PQR, LN/QP = MN/QR, these triangles will be similar if ∠ N = ∠ Q. [SAS criterion for similarity of t ...

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Similar Triangles

In Δ LMN and ...

Question

In $Δ L M N a n d Δ P Q R, \frac{L N}{Q P} = \frac{M N}{Q R} .$ Then, these triangles will be similar if:

∠ M = ∠ Q

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∠ N = ∠ R

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∠ M = ∠ P

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∠ N = ∠ Q

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Solution

The correct option is D $∠ N = ∠ Q$
Given that in $Δ L M N a n d Δ P Q R, \frac{L N}{Q P} = \frac{M N}{Q R}$ , these triangles will be similar if $∠ N = ∠ Q .$ [SAS criterion for similarity of triangles]

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In ΔLMN and ΔPQR,LNQP=MNQR. Then, these triangles will be similar if:

The correct option is D ∠N=∠QGiven that in ΔLMN and ΔPQR,LNQP=MNQR, these triangles will be similar if ∠N=∠Q. [SAS criterion for similarity of triangles]

In $Δ L M N a n d Δ P Q R, \frac{L N}{Q P} = \frac{M N}{Q R} .$ Then, these triangles will be similar if:

The correct option is D $∠ N = ∠ Q$
Given that in $Δ L M N a n d Δ P Q R, \frac{L N}{Q P} = \frac{M N}{Q R}$ , these triangles will be similar if $∠ N = ∠ Q .$ [SAS criterion for similarity of triangles]