Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but not its shape. It involves a scale factor that determines how much the figure is enlarged or reduced.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you perform a 180-degree rotation around the origin?

Back

To rotate a point (x, y) 180 degrees around the origin, the new coordinates will be (-x, -y).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image. Common lines of reflection include the x-axis and y-axis.

Front

What happens to the coordinates of a point reflected over the y-axis?

Back

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

Front

What happens to the coordinates of a point reflected over the x-axis?

Back

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

Front

What is the rule for rotating a point 90 degrees counterclockwise around the origin?

Back

The rule for rotating a point (x, y) 90 degrees counterclockwise around the origin is (x, y) → (-y, x).

Front

What is the rule for rotating a point 270 degrees counterclockwise around the origin?

Back

The rule for rotating a point (x, y) 270 degrees counterclockwise around the origin is (x, y) → (y, -x).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line, creating a mirror image.