Translations, Reflections, Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Front

What are the coordinates of point B' if triangle ABCD is rotated 180° about the origin?

Back

The coordinates of B' will be (-x, -y) if B is at (x, y).

Front

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

Back

The rule is (x, y) → (y, -x).

Front

What is the rule for rotating a point 270° counterclockwise about the origin?

Back

The rule is (x, y) → (y, -x).

Front

If triangle A is translated 5 units right and 1 unit down, what are the new coordinates of point A if it starts at (2, 3)?

Back

The new coordinates will be (7, 2).

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

The angle of rotation is 90°.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

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

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

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

Front

How do you describe a translation of a shape?

Back

A translation can be described by a vector that indicates the direction and distance of the movement.