Rotations Reflections and Translations

Front

What is a transformation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the three main types of transformations?

Back

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

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 the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a 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

Define rotation in geometry.

Back

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 happens to the coordinates of a point (x, y) during a reflection over the x-axis?

Back

The coordinates change to (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) during a reflection over the y-axis?

Back

The coordinates change to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

Add a to x and b to y, resulting in the new point (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 90 degrees clockwise 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 result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5