Question

Drag each pair of coordinates to the correct location on the image.
Match each pair of polar coordinates to the equivalent polar coordinates on the image.

Answer 1

We want to see which of the given polar coordinates are equivalent to the given ones.

The two equivalent pairs are:

(2, -60°) → (2, 300°)

(-2, 240°) → (-2, -120°)

Polar coordinates symmetry.

Polar coordinates have a given period, such that:

A polar coordinate (R, θ) is equivalent to (R, θ + n*360°) where n is an integer number.

So if we have the polar coordinate:

(2, -60°), an equivalent polar coordinate can be (2, -60° + n*360°)

if we get n = 1 then we have:

(2, -60° + 360°) = (2, 300°)

So the equivalent polar coordinate is (2, 300°).

For the other polar coordinate we have (-2, 240°) is equivalent to something like (-2, 240° + n*360°)

For example, with n = -1 we have:

(-2, 240° - 360°) = (-2, -120°)

Then the two equivalent pairs are:

(2, -60°) → (2, 300°)

(-2, 240°) → (-2, -120°)

If you want to learn more about polar coordinates you can read:

https://brainly.com/question/14965899