Definition:
The x- and y- axis divides the coordinate plane into 4 regions. These regions are called the quadrants.
Each quadrant bounded by two half-axes. These are often numbered from first to fourth and denoted by Roman numerals: I (where the signs of the two coordinates are (+,+), II (-,+), III (-,-), and IV (+,-). When the axes are drawn according to the mathematical form, the numbering goes counter-clockwise starting from the upper right ("northeast") quadrant.
Cartesian coordinate system
A Cartesian coordinate system specifies each and every point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length.
Each reference line is called a coordinate axis of the system, and the point where they meet is its origin. The coordinates are also defined as the positions of the perpendicular projections of the point onto the two axes, expressed as a signed distances from the origin.
Cartesian coordinates can be used to point out where you are on a map or graph.
Please express your views of this topic How do I Find the Perimeter of a Rectangle by commenting on blog.
Examples:
Identify the quadrant in which the points (4, 2) and (3, 8) are located.
Choices:
A. first and second quadrants respectively
B. second and third quadrants respectively
C. second and fourth quadrants respectively
D. only the first quadrant
Correct Answer: D
Solution:
Step 1: Start at the origin.
Step 2: Move 4 units to the right from the y-axis.
Step 3: Then move 2 units above the x-axis.
Step 4: The point (4, 2) is in the first quadrant.
Step 5: Move three units to the right from the origin on the x-axis.
Step 6: Then move 8 units above the x-axis.
Step 7: The point (3, 8) is in the first quadrant
Step 8: The points (4, 2) and (3, 8) are only in the first quadrant respectively.
The x- and y- axis divides the coordinate plane into 4 regions. These regions are called the quadrants.
Each quadrant bounded by two half-axes. These are often numbered from first to fourth and denoted by Roman numerals: I (where the signs of the two coordinates are (+,+), II (-,+), III (-,-), and IV (+,-). When the axes are drawn according to the mathematical form, the numbering goes counter-clockwise starting from the upper right ("northeast") quadrant.
Cartesian coordinate system
A Cartesian coordinate system specifies each and every point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length.
Each reference line is called a coordinate axis of the system, and the point where they meet is its origin. The coordinates are also defined as the positions of the perpendicular projections of the point onto the two axes, expressed as a signed distances from the origin.
Cartesian coordinates can be used to point out where you are on a map or graph.
Please express your views of this topic How do I Find the Perimeter of a Rectangle by commenting on blog.
Examples:
Identify the quadrant in which the points (4, 2) and (3, 8) are located.
Choices:
A. first and second quadrants respectively
B. second and third quadrants respectively
C. second and fourth quadrants respectively
D. only the first quadrant
Correct Answer: D
Solution:
Step 1: Start at the origin.
Step 2: Move 4 units to the right from the y-axis.
Step 3: Then move 2 units above the x-axis.
Step 4: The point (4, 2) is in the first quadrant.
Step 5: Move three units to the right from the origin on the x-axis.
Step 6: Then move 8 units above the x-axis.
Step 7: The point (3, 8) is in the first quadrant
Step 8: The points (4, 2) and (3, 8) are only in the first quadrant respectively.
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