To prove the two triangles are similar using postulate or theorem.

geduiwelh

geduiwelh

Answered question

2021-08-07

To prove: The two triangles are similar using postulate or theorem.
Given information:
The system triangles:

Answer & Explanation

Szeteib

Szeteib

Skilled2021-08-08Added 102 answers

Now consider a figure, BNMLC in which two similar triangles are drawn such that they have a side parallel to the corresponding side.
BNLC
And when a line intersects two parallel lines, the corresponding angles of the intersections will be similar.
Therefore,
B=C
N=L
Thus, two angles of BNM are congruent to two angles of CLM, therefore, according to the AA Similarity Postulate, the triangles are similar.
Therefore,
BNMCLM
Hence, BNM and CLM are similar with each other by the AA similarity theorem.

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