Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

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 are the coordinates of a point after a reflection over the y-axis?

Back

If a point has coordinates (x, y), after reflection over the y-axis, the new coordinates will be (-x, y).

Front

What are the coordinates of a point after a reflection over the x-axis?

Back

If a point has coordinates (x, y), after reflection over the x-axis, the new coordinates will be (x, -y).

Front

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

Back

The rule for a 90° clockwise rotation is (x, y) → (y, -x).

Front

What is the rule for a 180° rotation about the origin?

Back

The rule for a 180° rotation is (x, y) → (-x, -y).

Front

What is the rule for a 90° counterclockwise rotation about the origin?

Back

The rule for a 90° counterclockwise rotation is (x, y) → (-y, x).

Front

How do you translate a point in the coordinate plane?

Back

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate. For example, translating (x, y) by (a, b) results in (x+a, y+b).

Front

What are the new coordinates of point J(3, 5) after translating it 5 units left and 2 units up?

Back

The new coordinates will be (-2, 7).

Front

If point A(2, 3) is rotated 180° about the origin, what are the new coordinates?

Back

The new coordinates will be (-2, -3).