Question

I need help on a similar triangle geometry question. "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."

Answer 1

Here is the diagram.

Answer 2

Assuming the line segments KJ and ON are parallel, both triangles OJK and ONM share the angle NOM since they both share that vertex. angles OKJ and ONM are congruent since they are corresponding angles formed by the segment ON cutting through the parallel lines KJ and NM. We also have that angles OJK and OMN are congruent since they are corresponding angles formed by the segment OM cutting through the parallel lines KJ and NM. Since OKJ = ONM, OJK = OMN, and both triangles share NOM, we have that the triangles OJK and ONM are similar by AAA.

Answer 3

Thank you for all your help! It means a lot. I have a lot of trouble with geometry.