Intro to Coordinate Plane

Front

What is the definition of an ordered pair in the coordinate plane?

Back

An ordered pair is a pair of numbers used to represent a point in the coordinate plane, typically written in the form (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

Front

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

Back

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

Front

How do you identify the location of a point given its coordinates?

Back

To identify the location of a point given its coordinates (x, y), start at the origin (0, 0), move x units along the horizontal axis (right for positive x, left for negative x), and then move y units along the vertical axis (up for positive y, down for negative y).

Front

What is the significance of the x-axis and y-axis in the coordinate plane?

Back

The x-axis is the horizontal line in the coordinate plane, while the y-axis is the vertical line. They intersect at the origin and divide the plane into four quadrants.

Front

What are the coordinates for point A if it is located at (2, 4)?

Back

Point A is located at the coordinates (2, 4), meaning it is 2 units to the right of the origin and 4 units up.

Front

How do you determine the quadrant in which a point lies based on its coordinates?

Back

A point lies in one of the four quadrants based on the signs of its coordinates: Quadrant I (positive x, positive y), Quadrant II (negative x, positive y), Quadrant III (negative x, negative y), Quadrant IV (positive x, negative y).

Front

What is the distance formula used for in the coordinate plane?

Back

The distance formula is used to calculate the distance between two points (x1, y1) and (x2, y2) in the coordinate plane, given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint formula in the coordinate plane?

Back

The midpoint formula is used to find the midpoint M between two points (x1, y1) and (x2, y2), given by the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How can you represent a point in the coordinate plane using a letter?

Back

A point can be represented by a letter (e.g., A, B, C) followed by its coordinates in parentheses, such as A(2, 4).

Front

What are the coordinates for point E if it is located at (0, 2)?

Back

Point E is located at the coordinates (0, 2), meaning it is at the origin's vertical line and 2 units up.