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 dilation in geometry?

Back

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

Front

What does a scale factor greater than 1 indicate in dilation?

Back

A scale factor greater than 1 indicates an enlargement of the shape.

Front

What does a scale factor less than 1 indicate in dilation?

Back

A scale factor less than 1 indicates a reduction of the shape.

Front

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

Back

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

Front

What is the rule for rotating a point 90° clockwise around the origin?

Back

The rule for rotating a point 90° clockwise is (x, y) → (y, -x).

Front

What is the rule for rotating a point 270° counterclockwise around the origin?

Back

The rule for rotating a point 270° counterclockwise is (x, y) → (y, -x).

Front

What is the effect of a translation on a shape?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

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