Transformations Summative

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

Define rotation in the context of transformations.

Back

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

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.

Front

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

Back

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

Front

What is the result of rotating a point 90 degrees counterclockwise around the origin?

Back

The new coordinates of the point (x, y) will be (-y, x).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 2?

Back

The new coordinates of the point (x, y) will be (2x, 2y).

Front

Explain what a pre-image is in transformations.

Back

A pre-image is the original figure before any transformation is applied.

Front

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

Back

The new coordinates will be (-x, -y).

Front

How do you find the image of a point after a reflection across the y-axis?

Back

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

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.