Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are congruent and their corresponding sides are proportional.

Front

What does it mean for angles in similar triangles?

Back

All corresponding angles in similar triangles are congruent.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

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

Back

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

Front

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

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including these angles are proportional, the triangles are similar.

Front

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

Back

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

Front

How can you determine if two triangles are similar using their angles?

Back

If two triangles have at least two pairs of congruent angles, they are similar.

Front

What is a proportional relationship in the context of similar triangles?

Back

A relationship where the ratios of the lengths of corresponding sides of similar triangles are equal.

Front

Can two triangles be similar if they have no congruent angles?

Back

No, two triangles cannot be similar if they do not have at least two congruent angles.

Front

What is the significance of the term 'congruent' in geometry?

Back

Congruent means that two figures have the same shape and size.