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 pairs of 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 any triangle?

Back

The sum of the angles in any 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

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size, which means their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

No, two triangles cannot be similar with only one pair of equal angles; at least two pairs of angles must be equal.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

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

Back

The corresponding side in triangle B will be in proportion to the side in triangle A, depending on the scale factor of similarity.

Front

What is a scale factor in the context of similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

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

Back

The angles of a similar triangle will also be 30°, 60°, and 90°.