Geometry Transformations Flashcard

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.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure about a fixed point called the center of rotation.

Front

What is a translation?

Back

A translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a reflection?

Back

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

Front

What is dilation in geometry?

Back

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

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure rotates.

Front

What does it mean to slide a figure?

Back

To slide a figure means to move it in a straight line from one position to another without changing its orientation.

Front

What is the rule for reflecting a point 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 rule for reflecting a point 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 effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 enlarges the figure.