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.

Question

Triangle JKO is shown inside of triangle MNO. Side OJ = 30, JM = 10, OK = 3 and KN = 1.

Answer 1

Yes, the triangles are similar.

Similarity statement: Triangle JKO ~ Triangle MNO
Postulate or theorem used: AA (Angle-Angle) similarity

Explanation:
1. Angle JKO is congruent to angle MNO (corresponding angles)
2. Angle KJO is congruent to angle NMO (corresponding angles)

Since two angles of both triangles are congruent, by the AA (Angle-Angle) similarity postulate, the triangles are similar.