Translation, Rotation, Reflection

Front

What is translation in geometry?

Back

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

Front

What is rotation in geometry?

Back

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

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What happens to the coordinates of a point when it is rotated 90° clockwise?

Back

When a point (x, y) is rotated 90° clockwise, its new coordinates become (y, -x).

Front

What happens to the coordinates of a point when it is rotated 180°?

Back

When a point (x, y) is rotated 180°, its new coordinates become (-x, -y).

Front

What happens to the coordinates of a point when it is rotated 270° clockwise?

Back

When a point (x, y) is rotated 270° clockwise, its new coordinates become (-y, x).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

How do you perform a translation on a point?

Back

To translate a point (x, y) by (a, b), add a to the x-coordinate and b to the y-coordinate, resulting in (x+a, y+b).