Transformations and Dilations

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 four main types of transformations?

Back

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

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 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

Define 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

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

How do you perform a 90-degree rotation counterclockwise about the origin?

Back

To perform a 90-degree rotation counterclockwise about the origin, switch the coordinates of the point (x, y) to (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the angles of a shape during dilation?

Back

During dilation, the corresponding angles of the shape remain congruent.

Tags

CCSS.8.G.A.3

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to get (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5