Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What are ordered pairs?

Back

A pair of numbers (x, y) that represent a point's position on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does reflection mean in the context of the coordinate plane?

Back

A transformation that flips a point or shape 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, resulting in (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, resulting in (-x, y).

Front

What is the distance formula?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The y-coordinate changes its sign (y becomes -y).

Front

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

Back

The x-coordinate changes its sign (x becomes -x).

Front

If point A is (2, 3), what is its reflection over the x-axis?

Back

The reflection of point A (2, 3) over the x-axis is (2, -3).

Front

If point B is (-4, 5), what is its reflection over the y-axis?

Back

The reflection of point B (-4, 5) over the y-axis is (4, 5).