similar triangle theorems review

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 in proportion 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 three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Front

Can two triangles be similar if only one angle is known?

Back

No, two triangles cannot be determined to be similar with only one angle known; at least two angles must be known.

Front

What is the relationship between two triangles if they have two pairs of equal angles?

Back

If two triangles have two pairs of equal angles, they are similar by the AA~ criterion.

Front

If two triangles have sides in the ratio 3:4, can they be similar?

Back

Not necessarily; the angles must also be checked to determine similarity.

Front

What is the AAA~ criterion for triangle similarity?

Back

AAA~ stands for Angle-Angle-Angle similarity, which states that if all three angles of one triangle are equal to all three angles of another triangle, the triangles are similar.

Front

What is the significance of the included angle in SAS~?

Back

In SAS~, the included angle must be equal for the triangles to be considered similar.

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the first step in determining if two triangles are similar?

Back

The first step is to compare the angles of the triangles.