Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

Angle-Angle Similarity states that 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 in proportion.

Front

If two triangles have one angle that is congruent, are they similar?

Back

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

Front

What is the criteria for triangle similarity based on angles?

Back

The criteria for triangle similarity based on angles is that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

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

Back

No, if no angles are congruent, the triangles cannot be similar.

Front

If triangle A has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

A similar triangle will also have angles of 30°, 60°, and 90°.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are proportional to each other.

Front

If triangle A is similar to triangle B, and the length of a side of triangle A is 4 cm, what could be the length of the corresponding side in triangle B if the ratio is 2:1?

Back

The corresponding side in triangle B would be 2 cm.

Front

What is the Angle-Angle (AA) Postulate?

Back

The AA Postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

If triangle A has angles of 45°, 45°, and 90°, and triangle C has angles of 45°, 45°, and 90°, are they similar?

Back

Yes, triangle A and triangle C are similar because all corresponding angles are equal.