Warm up: Compositions of 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. Common types include translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle in a specific direction.

Front

What is a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips a shape over a line, creating a mirror image.

Front

What is the composition of transformations?

Back

The composition of transformations is the combination of two or more transformations applied to a shape in a specific order.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates of its points.

Front

What is the effect of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis flips it horizontally, changing the sign of the x-coordinates of its points.

Front

What happens when you rotate a shape 90 degrees clockwise?

Back

When you rotate a shape 90 degrees clockwise, the coordinates of each point (x, y) change to (y, -x).

Front

What happens when you rotate a shape 180 degrees?

Back

When you rotate a shape 180 degrees, the coordinates of each point (x, y) change to (-x, -y).