Option (C) KML triangle is similar to JKL is the correct answer.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar triangles are the triangles that are the same in shape, but may not be equal in size.
For the given situation,
The diagram shows the triangle JKL.
In triangle JKL, KM is the perpendicular bisector of LJ.
Here, the other two triangles are KML and KMJ.
From definition, the triangles are similar when their corresponding sides and corresponding angles are equal.
From diagram, ∠ K = ∠ M = 90°
So, Δ JKL ≅ Δ KML and Δ JKL ≅ Δ KMJ
Hence we can conclude that option (C) KML triangle is similar to JKL is the correct answer.
Learn more about similarity of triangles here
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