Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Tags

CCSS.HSG.CO.A.2

Front

What are the three types of rigid transformations?

Back

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

Tags

CCSS.8.G.A.3

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure from one position to another without turning it.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° clockwise rotation on a point (x, y)?

Back

To perform a 90° clockwise rotation on a point (x, y), the new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To perform a 90° counterclockwise rotation on a point (x, y), the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

When a point (x, y) is reflected across the y-axis, the new coordinates become (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

A 180° rotation on a point (x, y) results in the new coordinates (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a fixed point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating a point (3, 4) 5 units left and 2 units up?

Back

The new coordinates will be (-2, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5