Question

Determine whether the triangles ar similar. It so, write a similarity statement and name the postulate or theorem you used. If not, explain.

Answer 1

Option B.

Explanation:

Angle SOB and Angle VOK are vertical angles, and thus congruent because all vertical angles are congruent.

Lines SB and KV are parallel, cut by the transversal SV, and Angle S and Angle V are Alternate Interior Angles. So, Angle S and Angle V are congruent by Alternate Interior Angle congruence.

Therefore, Triangle SOB and Triangle VOK are similar by Angle Angle similarity postulate.