AA~, SSS~, SAS~ Triangle Similarity

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are similar by AA~.

Front

If two triangles have one pair of equal angles and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by SAS~.

Front

If the sides of two triangles are in the ratio 3:4:5 and 6:8:10, what can be concluded?

Back

The triangles are similar by SSS~.

Front

What is the similarity statement for triangles ΔABC and ΔDEF if they are similar by AA~?

Back

ΔABC ~ ΔDEF.

Front

How can you prove that two triangles are similar using the SAS~ criterion?

Back

Show that two sides of one triangle are proportional to two sides of another triangle and that the included angles are equal.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.