Fill in the blanks of the appropriate element that would make the sentence correct. Wnte
What I Have Learned
your answer in a separate sheet of paper.
in honor of
1. The Rectangular Coordinate System is also termed as
the French mathematician
Mathematics
who is known as the "Father of Modern
2 The Rectangular Coordinate Plane is composed of two perpendicular number lines that
and divide the plane into four regions called
meet at the intersection called
3. In an ordered pair, the first number is the x- coordinate which is also known as the
and the second number is the y-coordinate which is also known as
4. The point falls in Quadrant 1 if it has signs (), Quadrant Ilif L), Quadrant III if
() and Quadrant IV if
5. For more ease in plotting the points in the Cartesian Plane, start making move from the
origin either
in the x-axis then move
or
or
in the y-axis
Answers
Answer:
The rectangular coordinate system consists of two real number lines that intersect at a right angle. The horizontal number line is called the \(x\)-axis, and the vertical number line is called the \(y\)-axis. These two number lines define a flat surface called a plane, and each point on this plane is associated with an ordered pair of real numbers \((x, y)\). The first number is called the \(x\)-coordinate, and the second number is called the \(y\)-coordinate. The intersection of the two axes is known as the origin, which corresponds to the point \((0, 0)\).
Screenshot (458).png
Figure \(\PageIndex{1}\)
An ordered pair \((x, y)\) represents the position of a point relative to the origin. The \(x\)-coordinate represents a position to the right of the origin if it is positive and to the left of the origin if it is negative. The \(y\)-coordinate represents a position above the origin if it is positive and below the origin if it is negative. Using this system, every position (point) in the plane is uniquely identified. For example, the pair \((2, 3)\) denotes the position relative to the origin as shown:
Screenshot (459).png
Figure \(\PageIndex{2}\)
This system is often called the Cartesian coordinate system, named after the French mathematician René Descartes (1596– 1650).
The \(x\)- and \(y\)-axes break the plane into four regions called quadrants, named using roman numerals I, II, III, and IV, as pictured. In quadrant I, both coordinates are positive. In quadrant II, the \(x\)-coordinate is negative and the \(y\)-coordinate is positive. In quadrant III, both coordinates are negative. In quadrant IV, the \(x\)-coordinate is positive and the \(y\)-coordinate is negative.
1. The Rectangular Coordinate System is also termed as the French mathematician René Descartes in honor of who is also known as the "Father of Modern Mathematics".
2. The Rectangular Coordinate Plane is composed of two perpendicular number lines that meet at the intersection called origin and divide the plane into four regions called quadrants.
3. In an ordered pair, the first number is the x- coordinate which is also known as abscissa and the second number is the y-coordinate which is also known as ordinate.
4. The point falls in Quadrant I if it has signs (+,+), Quadrant II if (-,+), Quadrant III if (-,-), and Quadrant IV if (+,-).
5. For more ease in plotting the points in the Cartesian Plane, start making move from the origin either left or right in the x-axis then move up or down in the y-axis.
Let us correct the question as it has mistakes.
Fill in the blanks of the appropriate element that would make the sentence correct.
1. The Rectangular Coordinate System is also termed as the French mathematician _________ in honor of who is also known as the "Father of Modern Mathematics".
2. The Rectangular Coordinate Plane is composed of two perpendicular number lines that meet at the intersection called ______ and divide the plane into four regions called ________.
3. In an ordered pair, the first number is the x- coordinate which is also known as ________ and the second number is the y-coordinate which is also known as _________.
4. The point falls in Quadrant I if it has signs (____), Quadrant II if (_____), Quadrant III if (_____), and Quadrant IV if (_____).
5. For more ease in plotting the points in the Cartesian Plane, start making move from the origin either _____ or _____ in the x-axis then move ____ or _____ in the y-axis.