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 reflection?

Back

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

Front

How do you reflect a point (x, y) across the x-axis?

Back

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

Front

How do you reflect a point (x, y) across the y-axis?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

What is the rule for rotating a point 90 degrees counterclockwise about the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise about the origin, the new coordinates will be (-y, x).

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

How do you write a translation rule?

Back

A translation rule is written in the form (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

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.