Transformations(Translation, Rotation, & Reflection)

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

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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

Front

What happens to the coordinates of a point (x, y) after a 180° rotation?

Back

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

Front

How do you translate a point 2 units left and 3 units up?

Back

Use the rule (x, y) → (x - 2, y + 3).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

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

Front

Which transformation changes the orientation of a shape?

Back

Reflection changes the orientation of a shape.

Front

What is the rule for a 90° clockwise rotation?

Back

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