Geometry Transformations

Front

What is a translation in geometry?

Back

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

Front

What is the rule for translating a point (x, y) 2 units left and 3 units up?

Back

(x, y) → (x - 2, y + 3)

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

If point (-5, 2) is reflected over the y-axis, what are the new coordinates?

Back

(5, 2)

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 rule for reflecting a point (x, y) over the x-axis?

Back

(x, y) → (x, -y)

Front

What is the result of applying the rule (x, y) → (y, -x) to the point (-5, 6)?

Back

(6, -5)

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.

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x)

Front

What is the result of a 90-degree clockwise rotation of the point (3, 4)?

Back

(4, -3)