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 translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

How do you rotate a point 90 degrees clockwise around the origin?

Back

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

Front

What happens to the coordinates of a point when it is rotated 180 degrees around the origin?

Back

When a point (x, y) is rotated 180 degrees around the origin, the new coordinates will be (-x, -y).

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a shape 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 shape is enlarged or reduced during dilation.