Question

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.

Answer 1

Given:

To prove the similarity.

Two triangles similarity condition:

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

`\Delta\text{OKJ Similar to }\Delta ONM`
`\begin{gathered} (OK)/(ON)=(OJ)/(OM)=(KJ)/(NM) \\ (3)/(3+1)=(30)/(30+10) \\ (3)/(4)=(30)/(40) \\ (3)/(4)=(3)/(4) \end{gathered}`

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

`\Delta\text{OKJ Similar to }\Delta ONM`