Dilation and Similarity

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

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

What is the AA similarity postulate?

Back

The AA (Angle-Angle) similarity postulate 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

Front

What is the SSS similarity theorem?

Back

The SSS (Side-Side-Side) similarity theorem 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 theorem?

Back

The SAS (Side-Angle-Side) similarity theorem 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

How do you determine if two triangles are similar using the AA postulate?

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.A.2

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 2, how do you write the algebraic notation for dilation?

Back

(x, y) goes to (2x, 2y).

Tags

CCSS.8.G.A.3

Front

What happens to the angles of a figure during dilation?

Back

The angles remain unchanged during dilation.

Tags

CCSS.8.G.A.3

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