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, 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

What is a rotation?

Back

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

Front

What is the rule for rotating a point 90° counterclockwise?

Back

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

Front

What is the rule for rotating a point 180°?

Back

(x, y) → (-x, -y) is the rule for rotating a point 180°.

Front

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

Back

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

Front

How do you find the image of a point after a transformation?

Back

To find the image of a point after a transformation, apply the transformation rule to the coordinates of the original point.

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 a translation?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, using a scale factor.