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The points would be matched with their polar coordinates as follows:
- (-4, -3π/4) → E.
- (4, 7π/4) → F.
- (4, 3π/4) → C.
- (- 4, - 7π/4) → D.
What is a polar coordinate?
A polar coordinate can be defined as a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
How to transform polar coordinates to rectangular coordinates?
In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:
a = rcos(θ) ....equation 1.
b = rsin(θ) ....equation 2.
Where:
- θ is the angle.
- r is the radius of a circle.
In Mathematics, a negative vector for a given vector has the same magnitude but acts in an opposite direction while an antiparallel vector for a given vector refers to any vector that acts in an opposite direction.
This ultimately implies that, a negative vector equals to an antiparallel vector, but an antiparallel vector isn't always a negative vector.
In this context, we can infer and logically deduce that the points would be matched with their polar coordinates as follows:
- (-4, -3π/4) → E.
- (4, 7π/4) → F.
- (4, 3π/4) → C.
- (- 4, - 7π/4) → D.
Read more on polar coordinates here: https://brainly.com/question/2193539
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