Proving Triangles Similarity by AA

Choose the correct similarity statement for the triangles.

• None of these

• The triangles cannot be proven similar.

The triangles are similar. State the reason and complete the similarity statement.

• $\Delta PQR\sim\Delta TUV$ by $AA\sim$

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

The triangles are similar. State the reason and complete the similarity statement.

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

The triangles are similar. State the reason and complete the similarity statement.

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

The triangles are similar. State the reason and complete the similarity statement.

Answer explanation

The order of the points matter! Make sure congruent angles are in the same place.

Which of the following is a viable method of proving one triangle is similar to another?

• Show that 3 sides of one triangle are congruent to 3 sides of another.

• Show that 2 sides of one triangle & their included angle are congruent to 2 sides of another & their included angle.

• Show that 2 angles of one triangle are congruent to 2 angles of another.

• Show a sequence of rigid transformations (rotation, slide, reflection) map one triangle onto the other.

Answer explanation

The other choices prove triangles congruent, not similar.

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar