similar triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does AA similarity mean?

Back

AA similarity means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SAS similarity mean?

Back

SAS similarity means that if two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, then the triangles are similar.

Front

What does SSS similarity mean?

Back

SSS similarity means that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the Angle-Angle (AA) Postulate?

Back

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

Front

What is the Side-Angle-Side (SAS) Postulate?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) Postulate?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are congruent.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

Can two triangles be similar if they have one equal angle?

Back

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