Identifying Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, reflection, rotation, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

How do you identify a translation on a coordinate grid?

Back

A translation can be identified by observing that all points of the figure move the same distance in the same direction.

Front

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

Back

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

Front

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

Back

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

Front

What is the result of rotating a shape 90 degrees clockwise?

Back

Rotating a shape 90 degrees clockwise moves each point of the shape to a new position that is 90 degrees to the right around the center of rotation.