AA Similarity

Front

What does AA Similarity stand for?

Back

AA Similarity stands for Angle-Angle Similarity, a criterion for determining if two triangles are similar based on having two pairs of corresponding angles that are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AA Similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle A has angles of 30° and 60°, what are the corresponding angles in a similar Triangle B?

Back

Triangle B must also have angles of 30° and 60° to be similar to Triangle A.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle A has sides of lengths 3, 4, and 5, and Triangle B is similar to Triangle A with a scale factor of 2, what are the lengths of the sides of Triangle B?

Back

The lengths of the sides of Triangle B are 6, 8, and 10.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two triangles are similar using AA Similarity?

Back

To determine if two triangles are similar using AA Similarity, check if two pairs of corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If Triangle C has angles of 45° and 45°, what can you say about Triangle D if it has one angle of 90°?

Back

Triangle D cannot be similar to Triangle C because the angles do not match; Triangle C is an isosceles right triangle.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the similarity statement ΔABC ∼ ΔDEF?

Back

The similarity statement ΔABC ∼ ΔDEF indicates that Triangle ABC is similar to Triangle DEF, meaning their corresponding angles are equal and their sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The areas of two similar triangles are proportional to the square of the ratio of their corresponding sides.