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

Define dilation in geometry.

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you perform a dilation with a scale factor of 2?

Back

To perform a dilation with a scale factor of 2, multiply the coordinates of each point of the figure by 2.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of 3?

Back

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

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

How do you rotate a point 90 degrees counterclockwise about the origin?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

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