Coordinate Plane Reflections

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair (x, y).

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.

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 to get (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 to get (-x, y).

Front

What happens to a point in Quadrant I when reflected over the x-axis?

Back

It moves to Quadrant IV, where the x-coordinate remains the same and the y-coordinate changes sign.

Front

What happens to a point in Quadrant II when reflected over the y-axis?

Back

It moves to Quadrant I, where the y-coordinate remains the same and the x-coordinate changes sign.

Front

What is the result of reflecting the point (3, -2) across the y-axis?

Back

The reflected point is (-3, -2).

Front

What is the result of reflecting the point (5, 3) across the x-axis?

Back

The reflected point is (5, -3).