# Determine whether the triangles are similar. If so, wrote the similarity statement and name the postulate or theorem you used.

Determine whether the triangles are similar. If so, wrote the similarity statement and name the postulate or theorem you used.

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dieseisB
Here, $$\displaystyle{\frac{{{L}{Q}}}{{{T}{R}}}}={\frac{{{L}{S}}}{{{T}{N}}}}={\frac{{{S}{Q}}}{{{N}{R}}}}$$
Hence, $$\displaystyle{L}{Q}\sim{T}{R}$$
$$\displaystyle{T}{N}\sim{L}{S}$$
$$\displaystyle{S}{Q}\sim{N}{R}$$
Now, by Side-Side-Side (SSS-rule) similarity both given triangles are similar.