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

What is the line of reflection for a reflection over the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) is transformed to (-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, so (x, y) becomes (x, -y).

Front

Reflect the point (4, 5) over the y-axis. What is the new coordinate?

Back

(-4, 5)

Front

Reflect the point (-3, 2) over the x-axis. What is the new coordinate?

Back

(-3, -2)

Front

What is the result of reflecting the point (0, 0) over any axis?

Back

The result is still (0, 0), as it is the origin.

Front

If a point is reflected over the y-axis, what happens to its x-coordinate?

Back

The x-coordinate changes sign.

Front

What is the reflection of the point (5, -7) over the x-axis?

Back

(5, 7)

Front

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

Back

To reflect a point (x, y) over the y-axis, change the x-coordinate to -x, resulting in (-x, y).

Front

What is the reflection of the point (-2, 3) over the y-axis?

Back

(2, 3)