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42 votes
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The diagram is not drawn to scale. (image attached)thank you ! :)

State whether the triangles are similar. If so, write a similarity statement and the-example-1
User Bartosz Grzybowski
by
2.5k points

1 Answer

27 votes
27 votes

Solution:

Given the figure;

Triangle KOJ is similar to Triangle NOM.

The side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Thus;


\begin{gathered} |KO|\cong|NO| \\ \\ |OJ|\operatorname{\cong}|OM| \\ \\ m\angle O\cong m\angle O \\ \\ \triangle KOJ\operatorname{\cong}\triangle NOM \end{gathered}

State whether the triangles are similar. If so, write a similarity statement and the-example-1
User Marc Lambrichs
by
3.1k points
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