Determine If 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

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

What is the first step to determine if two triangles are similar?

Back

The first step is to compare the corresponding angles and sides of the triangles.

Front

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

Back

The triangles are similar by the AA~ postulate.

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~ postulate.

Front

If the sides of two triangles are in proportion, what can be concluded?

Back

The triangles are similar by the SSS~ postulate.

Front

What does it mean if two triangles are not similar?

Back

It means that the triangles do not have the same shape, which can be due to differing angles or side lengths.

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 an example of using AA~ to prove similarity?

Back

If Triangle A has angles of 30° and 60°, and Triangle B has angles of 30° and 60°, then Triangle A is similar to Triangle B by AA~.