Similar Triangles - AA, SAS, SSS, or Not Similar

Front

What does AA stand for in similar triangles?

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 similar triangles?

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 similar triangles?

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

What is the criterion for two triangles to be considered 'Not Similar'?

Back

Two triangles are considered 'Not Similar' if none of the similarity criteria (AA, SAS, SSS) are satisfied.

Front

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

Back

The triangles are similar by the AA criterion.

Front

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

Back

The triangles are similar by the SAS criterion.

Front

If the sides of triangle A are 3, 4, and 5, and the sides of triangle B are 6, 8, and 10, are the triangles similar?

Back

Yes, the triangles are similar by the SSS criterion since the sides are in proportion (3:6, 4:8, 5:10).

Front

Can two triangles be similar if they have the same area?

Back

Not necessarily; triangles can have the same area but different shapes and sizes, thus not being similar.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle A has sides of lengths 5, 12, and 13, and triangle B has sides of lengths 10, 24, and 26, are they similar?

Back

Yes, they are similar by the SSS criterion since the sides are in proportion.