Angle Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

Angle-Angle (AA) Similarity is a criterion for determining if two triangles are similar. If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

If two triangles have two equal angles, what can be said about their sides?

Back

The sides of the triangles are in proportion to each other.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

If angle A = 63° and angle B = 88°, what is angle C?

Back

Angle C = 29° (since 180° - 63° - 88° = 29°).

Front

Are triangles with angles measuring 30°, 60°, and 90° similar to triangles measuring 30°, 60°, and 90°?

Back

Yes, they are similar because they have the same angle measures.

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 triangle A has angles 40°, 60°, and 80°, can triangle B with angles 40°, 60°, and 70° be similar to triangle A?

Back

No, triangle B cannot be similar to triangle A because the angles do not match.

Front

What is the relationship between similar triangles and their areas?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If triangle A is similar to triangle B, and the length of a side of triangle A is 5 cm, what can be said about the corresponding side of triangle B?

Back

The corresponding side of triangle B will be in proportion to 5 cm based on the similarity ratio.

Front

What is the Angle-Angle (AA) Postulate?

Back

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