Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create 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 does translation mean in geometry?

Back

Translation means moving a shape from one location to another without changing its size, shape, or orientation.

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to x and b to y, resulting in (x + a, y + b).

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates.

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting a shape over the y-axis means flipping it over the y-axis, changing the sign of the x-coordinates.

Front

What is a rotation in geometry?

Back

A rotation is turning a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

How do you rotate a point (x, y) 90 degrees clockwise around the origin?

Back

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

Front

What is dilation in geometry?

Back

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