Transformations

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

What is a translation?

Back

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

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What does it mean to reflect a shape across the y-axis?

Back

Reflecting a shape across the y-axis means flipping it over the vertical line (y-axis), changing the sign of the x-coordinates.

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means flipping it over the horizontal line (x-axis), changing the sign of the y-coordinates.

Front

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

Back

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

Front

What is the effect of a dilation with a scale factor of 2 on a shape?

Back

A dilation with a scale factor of 2 enlarges the shape, doubling the distance of each point from the center of dilation.