Transformation Review

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.

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

How do you reflect a point (x, y) over the y-axis?

Back

Reflecting (x, y) over the y-axis results in the point (-x, y).

Front

What is the pre-image in transformations?

Back

The pre-image is the original shape or object before any transformations are applied.

Front

What is the image in transformations?

Back

The image is the resulting shape or object after a transformation has been applied.

Front

How do you perform a translation of (x, y) by (x+3, y-2)?

Back

To translate (x, y) by (x+3, y-2), you add 3 to the x-coordinate and subtract 2 from the y-coordinate.

Front

What is a dilation in geometry?

Back

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