Enter Ordered Pair ex. (1,2)
How does the Ordered Pair Calculator work?
Free Ordered Pair Calculator - This calculator handles the following conversions:
* Ordered Pair Evaluation and symmetric points including the abcissa and ordinate
* Polar coordinates of (r,θ°) to Cartesian coordinates of (x,y)
* Cartesian coordinates of (x,y) to Polar coordinates of (r,θ°)
* Quadrant (I,II,III,IV) for the point entered.
* Equivalent Coordinates of a polar coordinate
* Rotate point 90°, 180°, or 270°
* reflect point over the x-axis
* reflect point over the y-axis
* reflect point over the origin
This calculator has 1 input.
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.6.NS.C.6.B
What 2 formulas are used for the Ordered Pair Calculator?
Cartesian Coordinate = (x, y)
(r,θ) → (x,y) = (rcosθ,rsinθ)
What 15 concepts are covered in the Ordered Pair Calculator?
cartesian
a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length
coordinates
A set of values that show an exact position
cos
cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
degree
A unit of angle measurement, or a unit of temperature measurement
ordered pair
A pair of numbers signifying the location of a point
(x, y)
point
an exact location in the space, and has no length, width, or thickness
polar
a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction
quadrant
1 of 4 sections on the Cartesian graph. Quadrant I: (x, y), Quadrant II (-x, y), Quadrant III, (-x, -y), Quadrant IV (x, -y)
quadrant
1 of 4 sections on the Cartesian graph. Quadrant I: (x, y), Quadrant II (-x, y), Quadrant III, (-x, -y), Quadrant IV (x, -y)
rectangular
A 4-sided flat shape with straight sides where all interior angles are right angles (90°).
reflect
a flip creating a mirror image of the shape
rotate
a motion of a certain space that preserves at least one point.
sin
sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
x-axis
the horizontal plane in a Cartesian coordinate system
y-axis
the vertical plane in a Cartesian coordinate system
Example calculations for the Ordered Pair Calculator