Determine whether the triangles are similar.If so, write a similarity statement and name the postulate or theorem you used. If not, explain.12210107061.jpg

Kaycee Roche 2021-02-03 Answered

Determine whether the triangles are similar.
If so, write a similarity statement and name the postulate or theorem you used. If not, explain.
image

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Expert Answer

Daphne Broadhurst
Answered 2021-02-04 Author has 5477 answers

Step 1 given
we 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
Step 2
first, we will take \( \triangle NPO\ and\ \triangle NML\)
\(\angle N= \angle N\) (common angle)
\(\angle NPO = \angle NML\) (corresponding angles as \(OP || ML\))
so, the AA rule which states in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.
\(\triangle NML \approx \triangle NPO\) (AA rule)
therefore the two triangles NML and NPO are similar.

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