Question

What similarity statement can you write relating the three triangles in the diagram?

Answer 1

Answer: C. JLM-MLK-JKM

Step-by-step explanation:

Since, in triangles JLM and MLK,

∠JML≅∠MKL   (Right angles)

∠JLM≅∠KLM    (Reflexive)

By AA similarity postulate,

Triangles JLM and MLK are similar,

Similarly, triangles JLM and JKM are similar,

Thus, triangles MLK and JKM are also similar to each other,

Therefore, Option C is correct.

Answer 2

Answer:

(C)

Step-by-step explanation:

From triangles JLM and MLK,

∠JML≅∠MKL   (Right angles)

∠JLM≅∠KLM    (Common)

Therefore, By AA similarity postulate,

ΔJLM is similar to ΔMLK

Similarly, triangles JLM and JKM are similar,as

∠MJL=∠MJK(Common)

∠JML=∠MKL(Right angles)

Thus, triangles MLK and JKM are also similar to each other,Therefore, Option C is correct.