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

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

Back

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

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. The reflected point is (-x, y).

Front

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

Back

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

Front

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

Back

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

Front

Reflect the point (3, 4) over the x-axis. What is the reflected point?

Back

(3, -4)

Front

Reflect the point (-2, 5) over the y-axis. What is the reflected point?

Back

(2, 5)

Front

If point A is at (0, 0), what is its reflection over the x-axis?

Back

(0, 0) - it remains the same.

Front

If point B is at (4, -3), what is its reflection over the y-axis?

Back

(-4, -3)