Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are proportional.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What does it mean for two ratios to be in proportion?

Back

Two ratios are in proportion when they are equal to each other, meaning that the cross products of the ratios are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the SAS similarity criterion?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What are corresponding angles in similar figures?

Back

Corresponding angles are angles that are in the same relative position in two different figures. In similar figures, these angles are congruent.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

How do you find missing sides in similar triangles?

Back

To find missing sides in similar triangles, set up a proportion using the lengths of the corresponding sides of the triangles.

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 to each other.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the difference between similarity and congruence?

Back

Similarity refers to figures that have the same shape but may differ in size, while congruence refers to figures that are identical in shape and size.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.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 lengths of their corresponding sides.

Front

What is the AA similarity criterion?

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.B.5