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

State Weather The Triangles Are Similar If So Write A Similarity Statement And That Postulate Or Theorem You Used The Diagram Is Not Drawn To Scale class=

Answer :

Given:

To prove the similarity.

Two triangles similarity condition:

If two triangles are similar then the corresponding sides are proportional.

[tex]\Delta\text{OKJ Similar to }\Delta ONM[/tex][tex]\begin{gathered} \frac{OK}{ON}=\frac{OJ}{OM}=\frac{KJ}{NM} \\ \frac{3}{3+1}=\frac{30}{30+10} \\ \frac{3}{4}=\frac{30}{40} \\ \frac{3}{4}=\frac{3}{4} \end{gathered}[/tex]

From the given values the corresponding sides are proves as propotional.

[tex]\Delta\text{OKJ Similar to }\Delta ONM[/tex]

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