reflections in the coordinate plane

Front

What is a reflection in the coordinate plane?

Back

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

Front

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

Back

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

Front

How do you reflect a point across the y-axis?

Back

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

Front

What happens to the y-coordinate when reflecting over the x-axis?

Back

The y-coordinate changes sign.

Front

What happens to the x-coordinate when reflecting over the y-axis?

Back

The x-coordinate changes sign.

Front

Reflect the point (4, 5) across the x-axis. What is the new point?

Back

(4, -5)

Front

Reflect the point (-3, 7) across the y-axis. What is the new point?

Back

(3, 7)

Front

If point A is at (2, -3), what is the reflection of A across the x-axis?

Back

(2, 3)

Front

If point B is at (-5, 4), what is the reflection of B across the y-axis?

Back

(5, 4)

Front

What is the result of reflecting the point (0, -8) across the x-axis?

Back

(0, 8)