Similarity and Congruence

Front

What are the conditions for two triangles to be similar?

Back

1. Corresponding angles are equal. 2. The ratios of the corresponding sides are proportional.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and the same shape.

Front

If triangle ABC is similar to triangle PQR, what can we say about their corresponding angles?

Back

The corresponding angles are equal.

Front

Back

It implies that the triangles are similar and their corresponding sides are in proportion.

Front

What is the relationship between the corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional.

Front

If two angles in triangle ABC are congruent to two angles in triangle PQR, what can we conclude about the triangles?

Back

The triangles are similar by the Angle-Angle (AA) similarity criterion.

Front

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

Back

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

Front

What does it mean if two triangles have equal corresponding sides?

Back

It means the triangles are congruent.

Front

If triangle ABC is congruent to triangle PQR, what can we say about their corresponding sides?

Back

The corresponding sides are equal.

Front

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

Back

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