Similar Triangles Practice

Front

What is the AA similarity criterion for triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

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, meaning their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the SSS similarity criterion for triangles?

Back

The SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS similarity criterion for triangles?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

Which statement is NOT true about similar triangles?

Back

Similar triangles always have the same size.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A is similar to triangle B, what can be said about their angles?

Back

The corresponding angles of triangle A and triangle B are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have one angle of 50 degrees and another angle of 80 degrees, what is the measure of the third angle?

Back

The third angle is 50 degrees, since the sum of angles in a triangle is 180 degrees.

Tags

CCSS.8.G.A.5

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are the triangles similar?

Back

Yes, triangle A and triangle B are similar because their corresponding sides are in proportion (3:6, 4:8, 5:10).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If angle A = 50 degrees and angle B = 50 degrees, what can be concluded about triangles containing these angles?

Back

The triangles are similar by the AA similarity criterion.

Tags

CCSS.HSG.SRT.A.2