Geometry Question Help! State whether the triangles are similar. If so, write a similarity statement and...

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Geometry Question Help!

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The diagr

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Answer 1

Answer #1

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Yes the 2 triangles are similar because:

OK/ON = OJ/OM = 30/40 = 3/4

This means that KJ and MN are parallel.

If they are parallel then:

For triangles OKJ and ONM :
Hence, Angle OJK = OMN are equal.
Also, angles OKJ and ONM are equal
Also, angle O is common

So, corresponding angles between the 2 triangles are equal.

Statement/POSTULATE: If two angles of one triangle are congruent to two angles of another, then the triangles must be similar.

Answer: Therefore, the triganles ARE SIMILAR.

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Answer 2

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