Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Tags

CCSS.HSG.CO.B.6

Front

What does it mean to reflect a figure?

Back

To flip a figure over a line (line of reflection) to create a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define rotation in the context of rigid transformations.

Back

A transformation that turns a figure about a fixed point (the center of rotation) at a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of symmetry?

Back

A line that divides a figure into two mirror-image halves.

Tags

CCSS.4.G.A.3

Front

How do you determine the direction of rotation?

Back

By specifying whether the rotation is clockwise (to the right) or counterclockwise (to the left).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to a figure during a reflection across the x-axis?

Back

The y-coordinates of the points are inverted, changing (x, y) to (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating a figure 4 units to the right and 3 units down from point (x, y)?

Back

The new coordinates will be (x + 4, y - 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3