Transformations Review (Translations,Reflections,Rotations)

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you reflect a point across the x-axis?

Back

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

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 a rotation in geometry?

Back

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

Front

What are the coordinates of a point (3, 4) after a 90º clockwise rotation about the origin?

Back

The new coordinates will be (4, -3).

Front

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

Back

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

Front

How do you translate a point 5 units to the right and 3 units up?

Back

Add 5 to the x-coordinate and 3 to the y-coordinate of the point.

Front

What is the result of reflecting the point (2, -3) across the x-axis?

Back

The new coordinates will be (2, 3).

Front

If Triangle ABC is rotated 90º clockwise, what transformation occurs to its vertices?

Back

Each vertex of Triangle ABC will move to a new position based on the 90º clockwise rotation.

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).