Coordinate Plane

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 the four quadrants of a coordinate plane?

Back

The four quadrants are: 1st Quadrant (Q1): (+, +), 2nd Quadrant (Q2): (-, +), 3rd Quadrant (Q3): (-, -), 4th Quadrant (Q4): (+, -).

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a coordinate plane, typically written as (x, y).

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0, 0).

Front

How do you identify the quadrant of a point?

Back

To identify the quadrant of a point (x, y), check the signs of x and y: (+, +) is Q1, (-, +) is Q2, (-, -) is Q3, and (+, -) is Q4.

Front

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

Back

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

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width: Area = Length × Width.

Front

What are the coordinates of point A if it is located at (3, -2)?

Back

Point A is located at (3, -2) on the coordinate plane, where x = 3 and y = -2.

Front

What does it mean for a point to be on the x-axis?

Back

A point is on the x-axis if its y-coordinate is 0, represented as (x, 0).

Front

What does it mean for a point to be on the y-axis?

Back

A point is on the y-axis if its x-coordinate is 0, represented as (0, y).