Similarity SSS, SAS, & AA 2/6/2020

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

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

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

Back

If the lengths of the corresponding sides of two triangles are in the same ratio, then the triangles are similar by SSS.

Front

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

Back

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

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

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar by SSS.

Front

If two triangles have one angle equal and the sides around that angle are in the ratio 4:5, are they similar?

Back

Yes, they are similar by SAS.

Front

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

Back

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

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.