Reflections

Front

What is a reflection in geometry?

Back

A reflection in geometry is a transformation that flips a figure over a line, creating a mirror image.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The rule is (x, y) -> (-x, y).

Front

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

Back

The rule is (x, y) -> (x, -y).

Front

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

Back

The result is (-3, 4).

Front

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

Back

The result is (-2, 5).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.

Front

How do you reflect a point over the line y = -1?

Back

To reflect a point (x, y) over the line y = -1, you find the distance from the point to the line and then move the same distance on the opposite side of the line.

Front

What is the effect of reflecting a shape over the x-axis on its orientation?

Back

The orientation of the shape is reversed vertically.