1.2 Transformations (Translations, Rotations & Reflections)

Front

What is a translation in geometry?

Back

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

Front

What does a reflection over the x-axis do to a point (x, y)?

Back

It changes the sign of the y-coordinate, resulting in the point (x, -y).

Front

What is the rule for translating a point (x, y) up 3 units?

Back

The rule is (x, y + 3).

Front

What is the rule for translating a point (x, y) left 4 units?

Back

The rule is (x - 4, y).

Front

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

Back

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

Front

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

Back

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

Front

What is the effect of a 270° clockwise rotation on a point (x, y)?

Back

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

Front

What does a translation do to an image?

Back

It slides the image to a new position without altering its shape or size.

Front

How do you identify a translation on a coordinate plane?

Back

By observing the change in coordinates of points from the original figure to the new figure.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.