Sequences 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.

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 90° clockwise rotation?

Back

A 90° clockwise rotation is a transformation that turns a shape 90 degrees in the clockwise direction around a fixed point.

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

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

Back

Reflecting over the y-axis means that each point of the shape is mirrored across the y-axis, changing the sign of the x-coordinate.

Front

What is a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation is a transformation that turns a shape 90 degrees in the counterclockwise direction around a fixed point.

Front

What is a 180° rotation?

Back

A 180° rotation is a transformation that turns a shape 180 degrees around a fixed point, effectively flipping it upside down.

Front

What does it mean to reflect over the line y = -x?

Back

Reflecting over the line y = -x means that each point of the shape is mirrored across the line y = -x, swapping the x and y coordinates and changing their signs.

Front

How do you perform a translation?

Back

A translation is performed by moving every point of a shape a certain distance in a specified direction.

Front

What is the effect of a transformation on the size of a shape?

Back

Transformations like rotation and reflection do not change the size of a shape, while dilation changes the size.