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 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 slides a figure from one position to another without turning it.

Front

What is a rotation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the rule for a 90° counterclockwise rotation?

Back

The rule for a 90° counterclockwise rotation is (x, y) → (-y, x).

Front

What is the rule for a 180° rotation?

Back

The rule for a 180° rotation is (x, y) → (-x, -y).

Front

What is the rule for a 90° clockwise rotation?

Back

The rule for a 90° clockwise rotation is (x, y) → (y, -x).

Front

How do you find the image of a point after a reflection across the x-axis?

Back

To find the image of a point (x, y) after a reflection across the x-axis, the new coordinates will be (x, -y).

Front

What happens to the coordinates of a point after a translation of (3, 4)?

Back

If a point (x, y) is translated by (3, 4), the new coordinates will be (x + 3, y + 4).