Coordinate plane/Distance

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). It is used to locate points using ordered pairs (x, y).

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent the position of a point on the coordinate plane, written in the form (x, y).

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

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

Back

To find the distance between two points on the same vertical line, 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

To find the distance between two points on the same horizontal line, subtract the x-coordinates and take the absolute value of the result.

Front

What is the distance formula for two points (x1, y1) and (x2, y2)?

Back

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

Front

What are the coordinates of the origin on the coordinate plane?

Back

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

Front

What is the x-axis?

Back

The x-axis is the horizontal line on the coordinate plane where the y-coordinate is 0.

Front

What is the y-axis?

Back

The y-axis is the vertical line on the coordinate plane where the x-coordinate is 0.

Front

What is the significance of the first quadrant?

Back

In the first quadrant, both x and y coordinates are positive, indicating that points in this quadrant are located in the upper right section of the coordinate plane.