Sequences of 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.

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

What is a rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

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

Back

Reflecting over the x-axis means that each point of the shape is flipped to the opposite side of the x-axis.

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 flipped to the opposite side of the y-axis.

Front

What is a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation turns a shape 90 degrees to the left around a fixed point.

Front

What is a 90° clockwise rotation?

Back

A 90° clockwise rotation turns a shape 90 degrees to the right around a fixed point.

Front

Define the line of reflection.

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.