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 is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis, y-axis, or any other line.

Front

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

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What happens to the coordinates of a point (x, y) when reflected over the line y = x?

Back

The coordinates become (y, x).

Front

What happens to the coordinates of a point (x, y) when reflected over the line y = -x?

Back

The coordinates become (-y, -x).

Front

If a point (a, b) is reflected over the y-axis, what is the new point?

Back

The new point is (-a, b).

Front

If a point (a, b) is reflected over the x-axis, what is the new point?

Back

The new point is (a, -b).

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The result is (3, -4).

Front

What is the result of reflecting the point (-2, 5) over the y-axis?

Back

The result is (2, 5).