Translations and Rotations

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

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

What is the result of translating the point (1, 4) 3 units left and 9 units down?

Back

The new point is (-2, -5).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle.

Front

What is the rule for rotating a point 90° clockwise around the origin?

Back

The rule is (x, y) → (y, -x).

Front

What is the rule for rotating a point 90° counterclockwise around the origin?

Back

The rule is (x, y) → (-y, x).

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 difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a point.

Front

If point A (2, 3) is rotated 90° clockwise around the origin, what are the new coordinates?

Back

The new coordinates are (3, -2).

Front

What is the term for a transformation that does not change the size or shape of a figure?

Back

An isometry.