Transformations review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for translating a point (x, y) 3 units to the right and 6 units up?

Back

The new coordinates will be (x + 3, y + 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point T is at (2, -5), where will it be after translating 3 units right and 6 units up?

Back

The new coordinates will be (5, 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x, y) 90° counterclockwise around the origin?

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for rotating a point (x, y) 270° counterclockwise around the origin?

Back

The new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5