Transformations review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

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 the rule for translating a point (x, y) 3 units to the right and 6 units up?

Back

The new coordinates will be (x + 3, y + 6).

Front

If point T is at (2, -5), where will it be after translating 3 units right and 6 units up?

Back

The new coordinates will be (5, 1).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is the rule for rotating a point (x, y) 90° counterclockwise around the origin?

Back

The new coordinates will be (-y, x).

Front

What is the rule for rotating a point (x, y) 270° counterclockwise around the origin?

Back

The new coordinates will be (y, -x).

Front

Define reflection in geometry.

Back

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

Front

What is the line of reflection?

Back

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