Question

State weather the triangles are similar .If so write a similarity statement and the postulate theorem you used.The triangles are not drawn to scale

Answer 1

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding interior angles are congruent

so

$\frac{OK}{ON}=\frac{OJ}{OM}$

substitute the values

$\frac{3}{4}=\frac{30}{40}$

$\frac{3}{4}=\frac{3}{4}$ -----> is true

Therefore

JK is parallel to MN

Triangles OMN and OJK are similar by AA Similarity Postulate ( The three interior angles are congruent)

Because

m<OKJ=m<ONM ----> by corresponding angles

m<KJO=m<NMO -----> by corresponding angles

m<JOK=m<MON -----> is the same angle