Select The Correct Similarity Statement.

Make up one's mind whether the triangles are similar.If so, write a similarity statement and name the postulate or theorem yous used. If non, explain.12210107061.jpg

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Daphne Broadhurst

Answered 2021-02-04 Writer has 109 answers

Step 1 given
nosotros have been given a triangle MNL in which P is a point on the side MN and O is the point on the side NL and OP is parallel ML
Footstep ii
first, nosotros will accept $\mathrm{△}\mathrm{Due\; north}POand\mathrm{△}N\mathrm{Yard}L$
$\mathrm{\angle }\mathrm{Due\; north}=\mathrm{\angle }N$ (common angle)
$\mathrm{\angle }NPO=\mathrm{\angle }NML$ (corresponding angles as $OP||ML$ )
so, the AA rule which states in two triangles, corresponding angles are equal, and then their corresponding sides are in the same ratio and hence the two triangles are like.
$\mathrm{△}\mathrm{Northward}M\mathrm{Fifty}\approx \mathrm{△}\mathrm{Northward}PO$ (AA rule)
therefore the ii triangles NML and NPO are similar.

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Select The Correct Similarity Statement.,

Source: https://plainmath.net/5168/determine-whether-triangles-similarity-statement-postulate-12210107061

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