TRANSFORMATIONS

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 are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define reflection in geometry.

Back

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

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same. For example, (x, y) becomes (x, -y).

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation of a point (x, y) by 3 units right and 2 units up?

Back

The new coordinates will be (x + 3, y + 2).

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 result of a 90° clockwise rotation of the point (x, y)?

Back

The new coordinates will be (y, -x).

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.