Transformations Review

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the figure after dilation to the distance from the center to the original point.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

(kx, ky)

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection for a reflection across the x-axis?

Back

The x-axis itself, where each point (x, y) becomes (x, -y).

Front

What happens to the coordinates of a point (x, y) when reflected across the y-axis?

Back

The new coordinates become (-x, y).

Front

What is a rotation in geometry?

Back

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

Front

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

Back

(x, y) → (y, -x)