Category 1: Coordinate Basics
What is a coordinate plane?
A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).
What does the ordered pair (3, 2) represent?
The ordered pair (3, 2) represents a point located 3 units along the x-axis and 2 units along the y-axis.
What does the x-axis represent?
The x-axis represents the horizontal axis in a coordinate plane, where the y-coordinate is zero.
How many quadrants are in a coordinate plane?
There are four quadrants in a coordinate plane.
Give an example of how coordinates can be used in a map.
Coordinates can be used in a map to specify the location of a city or landmark using latitude and longitude.
What are the coordinates of the origin?
The coordinates of the origin are (0, 0).
How do you plot the point (1, -1)?
To plot the point (1, -1), move 1 unit to the right on the x-axis and 1 unit down on the y-axis.
What does the y-axis represent?
The y-axis represents the vertical axis in a coordinate plane, where the x-coordinate is zero.
Name a point in Quadrant I.
An example of a point in Quadrant I is (2, 3).
How are coordinates used in video games?
Coordinates are used in video games to determine the position of characters, objects, and other elements in the game world.
What are the two axes of the coordinate plane?
The two axes of the coordinate plane are the x-axis and the y-axis.
What ordered pair represents the point on the x-axis at 4?
The ordered pair that represents the point on the x-axis at 4 is (4, 0).
Where does the x-axis and y-axis intersect?
The x-axis and y-axis intersect at the origin (0, 0).
In which quadrant is the point (-2, 3)?
The point (-2, 3) is in Quadrant II.
How can GPS use coordinates to help you navigate?
GPS uses coordinates to pinpoint locations on Earth, providing directions and helping users navigate from one point to another.
What is an ordered pair?
An ordered pair is a pair of numbers used to represent a point in a coordinate plane, typically written in the form (x, y).
If you plot the point (0, 5), where is it located?
The point (0, 5) is located on the y-axis, 5 units above the origin.
Which axis is horizontal?
The x-axis is the horizontal axis.
What is the significance of Quadrant IV?
Quadrant IV is significant because it contains points where the x-coordinates are positive and the y-coordinates are negative.
Describe how a coordinate grid can be used in sports.
A coordinate grid can be used in sports to track player positions, analyze movements, and design plays.
How do you determine the location of a point on a coordinate plane?
To determine the location of a point on a coordinate plane, you identify its x-coordinate and y-coordinate and plot it accordingly.
What is the point (2, 0) called?
The point (2, 0) is called an x-intercept.
What would happen if you only used positive coordinates?
If you only used positive coordinates, you would only represent points in Quadrants I and IV of the coordinate plane.
Name the coordinates for the center of Quadrant II.
The coordinates for the center of Quadrant II are approximately (-1, 1).
How can coordinates help in architecture and design?
Coordinates can help in architecture and design by providing a precise way to represent dimensions, layouts, and positions of structures on blueprints and plans.