MarianaQ246006 MarianaQ246006
  • 03-11-2022
  • Mathematics
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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=

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NirviD469879 NirviD469879
  • 03-11-2022

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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