Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

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

Front

What does it mean for two shapes to be similar?

Back

Similar shapes have the same shape but different sizes.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about the sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

What is the measure of angle b if angle a is 36° and the triangles are similar?

Back

Angle b is also 36°.

Front

If triangle XYZ is similar to triangle PQR, and the length of side XY is 5 cm and side PQ is 10 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the relationship between the areas of two similar triangles?

Back

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

Front

If angle A = 50° and angle B = 50°, what can be concluded about the triangles?

Back

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

Front

Find the missing side if triangle ABC is similar to triangle DEF and side AB = 4 cm, side DE = 8 cm, and side BC = 6 cm. What is side EF?

Back

Side EF = 12 cm.

Front

What is the sum of the angles in a triangle?

Back

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