Distance + Reflections on Coordinate Planes

A reflection is a transformation that flips a figure over a line, creating a mirror image.

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

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

Point A is located at (-1, 2) in the coordinate plane.

To reflect a point over the x-axis, you change the sign of the y-coordinate.

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

The reflection of C (0, -4) over the x-axis is C' (0, 4).

Quadrant I is the section of the coordinate plane where both x and y coordinates are positive.

Quadrant II is the section of the coordinate plane where x coordinates are negative and y coordinates are positive.

Quadrant III is the section of the coordinate plane where both x and y coordinates are negative.