Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

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

Front

How many degrees are in a triangle?

Back

A triangle has a total of 180 degrees.

Front

If angle A = 63° and angle B = 88°, what is the measure of 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 their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the sum of the interior angles of a triangle?

Back

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

Front

If two triangles have one angle of 60° and another angle of 30°, what can be said about their similarity?

Back

They are similar by AA similarity because they have two angles equal.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the measure of angle B if angle A = 36° and angle C = 108°?

Back

Angle B = 36° (since 180° - 36° - 108° = 36°).

Front

Can two triangles be similar if only one angle is known?

Back

No, at least two angles must be known to determine similarity.