Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is a mathematical operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What is a dilation in geometry?

Back

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

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

How do you find the scale factor in a dilation?

Back

The scale factor can be found by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the original figure.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What mathematical operations are used in a translation?

Back

Addition and subtraction are used in a translation to determine the new coordinates of the points.

Front

What is a rotation in geometry?

Back

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

Front

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

Back

The rule is (x, y) → (y, -x).

Front

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

Back

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

Front

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

Back

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