Question

Determine if the triangles in each pair are similar. If so, create a flowchart proof, If not, explain how you know.

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Answer 1

∆LMN ~ ∆LQR

Step-by-step Step-by-step explanation:

All you have to do is match their similar corresponding angles.

* These are congruent by the Angle-Angle Similarity Postulate, where at least two angles of both triangles are congruent, which in this case is ∠L [Vertical Angles Theorem] and ∠Q & ∠M. This obviously gives us our third side in each triangle, which must sum up to 180° altogether, therefore you have your answer.

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