6-6: Multiple Transformations

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, called the image.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle in a specified direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does a 90° counterclockwise rotation about the origin do to a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How does reflecting a point (x, y) over the x-axis change its coordinates?

Back

The new coordinates become (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of translating a shape?

Back

Translation moves a shape from one location to another without changing its size, shape, or orientation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the coordinates of a point (3, 4) after a translation of 2 units right and 1 unit down?

Back

The new coordinates are (5, 3).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the result of a 180° rotation about the origin for a point (x, y)?

Back

The new coordinates become (-x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the combined effect of a 270° counterclockwise rotation followed by a reflection across the x-axis on a point (x, y)?

Back

The new coordinates become (y, -x).

Tags

CCSS.8.G.A.3

Front

What is the purpose of performing multiple transformations on a shape?

Back

Multiple transformations can be used to achieve a desired position or orientation of a shape in a coordinate plane.

Tags

CCSS.8.G.A.3