sequence of transformations

Front

What is a transformation in geometry?

Back

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

Tags

CCSS.HSG.CO.A.2

Front

What are the main types of transformations?

Back

The main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A 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 rotation?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

Back

A 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 a dilation?

Back

A dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Tags

CCSS.8.G.A.3

Front

How do you perform a reflection over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of performing two reflections across two intersecting lines?

Back

Performing two reflections across two intersecting lines is equivalent to a rotation around the point of intersection.

Tags

CCSS.8.G.A.3

Front

What is the effect of performing two reflections across parallel lines?

Back

Performing two reflections across parallel lines is equivalent to a translation.

Tags

CCSS.8.G.A.3