Question

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

A. JMK-MLK-JLM
B. JMK-LMK-JLM
C. JLM-MLKJKM
D. JKM-MKL-MJL - It said D was wrong

Answer 1

(C)

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.

Answer 2

Answer: C. JLM-MLK-JKM

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.