Proving Triangle Similarity (SSS, SAS, AA)

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

• Not Similar

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

• Not Similar

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

• Not Similar

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

• Not Similar

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

• Show that 3 pairs of corresponding sides from one triangle to another have the same scale factor.

• 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 similar to 2 angles of another.

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

Answer explanation

Angles are never similar!

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.

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

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Determine if the triangles are similar. If so, state the similarity postulate or theorem.

• AA~

• SSS~

• SAS~

• The triangles are not similar.