Geometry 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 is a reflection in geometry?

Back

A 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 (-x, y).

Front

What is a rotation in geometry?

Back

A 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 is a translation in geometry?

Back

A translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Front

How do you translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), add a to the x-coordinate and b to the y-coordinate: (x+a, y+b).

Front

What is the effect of rotating a point 360 degrees around the origin?

Back

Rotating a point 360 degrees around the origin results in the point returning to its original position.

Front

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

Back

The result of reflecting a point (x, y) over the x-axis is (-x, y).