Similar Triangles Aa Sss Sas

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 congruent to two angles of another triangle, 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 in proportion, 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 congruent, the triangles are similar.

Front

If two triangles are similar, what can be said about their angles?

Back

The angles of similar triangles are congruent.

Front

If two triangles are similar, what can be said about their sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

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

Back

ΔABC ∼ ΔDEF.

Front

How can you determine if two triangles are similar using AA?

Back

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

Front

What is the relationship between the sides of triangles that are similar by SSS?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

What is the relationship between the angles of triangles that are similar by SAS?

Back

The angles opposite the corresponding sides that are in proportion are congruent.

Front

Can two triangles be similar if they have no angles equal?

Back

No, if two triangles have no angles equal, they cannot be similar.