Triangle Similarity Shortcuts

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, 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 proportional to two sides of another triangle and the included angles are equal, 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 corresponding sides of two triangles are proportional, the triangles are similar.

Front

Are similar figures always the same size?

Back

No, similar figures are not always the same size; they can be different sizes but must have the same shape.

Front

What is the criterion for triangle similarity using AA?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar by AA.

Front

What is the criterion for triangle similarity using SAS?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar by SAS.

Front

What is the criterion for triangle similarity using SSS?

Back

If the lengths of the corresponding sides of two triangles are proportional, the triangles are similar by SSS.

Front

If ΔSQR∼ΔSPT, which sides correspond to each other?

Back

The corresponding sides are SP and SR, QS and PT, PS and RS, TP and RQ.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, corresponding sides are proportional.