Coordinate plane/Distance

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.

Front

What are the x-axis and y-axis?

Back

The x-axis is the horizontal number line, while the y-axis is the vertical number line on a coordinate plane.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent the coordinates of a point on the coordinate plane.

Front

What is the distance formula?

Back

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

Front

How do you find the distance between two points on the same vertical line?

Back

Subtract the y-coordinates and take the absolute value of the result.

Front

How do you find the distance between two points on the same horizontal line?

Back

Subtract the x-coordinates and take the absolute value of the result.

Front

What does it mean to reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

What does it mean to reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Front

What is a quadrant in the coordinate plane?

Back

A quadrant is one of the four sections of the coordinate plane, divided by the x-axis and y-axis.

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).