Angles in Similar Triangles

Front

What is the Angle-Angle (AA) similarity criterion for triangles?

Back

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

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.

Front

How can you determine if two triangles are similar using side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are congruent.

Front

What is the relationship between corresponding sides in similar triangles?

Back

Corresponding sides in similar triangles are proportional.

Front

What is the definition of proportional sides?

Back

Two quantities are proportional if they have a constant ratio.

Front

Can two triangles be similar if only one pair of angles is congruent?

Back

No, at least two pairs of angles must be congruent for the triangles to be similar.

Front

What is the significance of the SSS (Side-Side-Side) similarity criterion?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the significance of the SAS (Side-Angle-Side) similarity criterion?

Back

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

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are congruent and their corresponding sides are proportional.