Coordinates
9 flashcards to master Coordinates
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Define the term 'coordinate' in the context of a Cartesian plane.
A coordinate is a set of values that show an exact position on a coordinate plane. It's usually represented as an ordered pair (x, y), where x is the horizontal position and y is the vertical position.
What is an 'ordered pair', and why is the order important?
An ordered pair (x, y) represents a point on a coordinate plane. The order matters because (2, 3) is a different point than (3, 2). The first value is always the x-coordinate and the second value is the y-coordinate.
Describe the difference between the x-coordinate and the y-coordinate.
The x-coordinate represents the horizontal distance of a point from the origin along the x-axis. The y-coordinate represents the vertical distance of a point from the origin along the y-axis.
Explain how to plot the point A(4, -2) on a coordinate plane.
To plot A(4, -2), start at the origin (0, 0). Move 4 units to the right along the x-axis, then 2 units down parallel to the y-axis. Mark the point at this location.
Name the four quadrants of a Cartesian plane and describe the signs of the x and y coordinates in each.
Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -). The signs indicate whether the x and y coordinates are positive or negative in each quadrant.
What are the coordinates of the 'origin'?
The origin is the point where the x-axis and y-axis intersect. Its coordinates are (0, 0). It serves as the reference point for plotting other coordinates.
Describe what is meant by the 'axes' of a coordinate plane.
The axes of a coordinate plane are the horizontal x-axis and the vertical y-axis. These axes are perpendicular to each other and divide the plane into four quadrants.
A point B has coordinates (-3, 5). In which quadrant is point B located?
Point B (-3, 5) is located in Quadrant II. This is because the x-coordinate is negative and the y-coordinate is positive in Quadrant II.
Describe how to determine the coordinates of a point that has already been plotted on a graph.
To find the coordinates of a plotted point, draw a vertical line to the x-axis to find the x-coordinate and a horizontal line to the y-axis to find the y-coordinate. The coordinates are then written as (x, y).
Key Questions: Coordinates
Define the term 'coordinate' in the context of a Cartesian plane.
A coordinate is a set of values that show an exact position on a coordinate plane. It's usually represented as an ordered pair (x, y), where x is the horizontal position and y is the vertical position.
Describe the difference between the x-coordinate and the y-coordinate.
The x-coordinate represents the horizontal distance of a point from the origin along the x-axis. The y-coordinate represents the vertical distance of a point from the origin along the y-axis.
Name the four quadrants of a Cartesian plane and describe the signs of the x and y coordinates in each.
Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -). The signs indicate whether the x and y coordinates are positive or negative in each quadrant.
What are the coordinates of the 'origin'?
The origin is the point where the x-axis and y-axis intersect. Its coordinates are (0, 0). It serves as the reference point for plotting other coordinates.
Describe what is meant by the 'axes' of a coordinate plane.
The axes of a coordinate plane are the horizontal x-axis and the vertical y-axis. These axes are perpendicular to each other and divide the plane into four quadrants.
About Coordinates (3.1)
These 9 flashcards cover everything you need to know about Coordinates for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.
What You'll Learn
- 5 Definitions - Key terms and their precise meanings that examiners expect
- 1 Key Concepts - Core ideas and principles from the 0580 syllabus
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After mastering Coordinates, explore these related topics:
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