Transformations

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, called the image.

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 the context of transformations.

Back

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

Front

What is a rotation in geometry?

Back

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

Front

Explain reflection as a transformation.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor relative to a center point.

Front

How do you perform a translation on a point (x, y)?

Back

To translate a point (x, y) by (a, b), add a to x and b to y, resulting in the new point (x+a, y+b).

Front

What is the effect of a 90-degree rotation counterclockwise on a point (x, y)?

Back

A 90-degree rotation counterclockwise transforms the point (x, y) to (-y, x).

Front

Describe the effect of reflecting a point (x, y) over the x-axis.

Back

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

Front

What happens to a shape during a dilation with a scale factor greater than 1?

Back

During a dilation with a scale factor greater than 1, the shape increases in size.