Transformations (Next Gen): Reflections, Translations, Rotations

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 translations, reflections, rotations, and dilations.

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 size.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new point will be (-x, y).

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

A 90-degree clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

A 180-degree rotation transforms the point (x, y) to (-x, -y).

Front

What does it mean to translate a figure 3 units left and 2 units up?

Back

To translate a figure 3 units left and 2 units up, subtract 3 from the x-coordinates and add 2 to the y-coordinates of each point in the figure.