Geometry Reflections

Front

What are the coordinates of the reflection of point C (-5, 4) over the x-axis?

Back

(-5, -4)

Front

If a figure is reflected across the x-axis, how do you find the coordinates of point K'?

Back

You change the sign of the y-coordinate.

Front

Reflect the point (2, -4) over the y-axis. What are the new coordinates?

Back

(-2, -4)

Front

What is the rule for reflecting a point across the y-axis?

Back

(x, y) → (-x, y)

Front

If the point (-2, 5) is reflected over the line x = 1, what are the coordinates of its image?

Back

(4, 5)

Front

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

Back

The x-coordinate remains the same.

Front

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

Back

The y-coordinate changes sign.

Front

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

Back

(x, y) → (x, -y)

Front

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

Back

(x, y) → (-x, y)

Front

How do you reflect a point over a vertical line, such as x = a?

Back

The new x-coordinate is found by using the formula: new x = 2a - original x.