If the point (a b) is in the fourth quadrant in what quadrant is (-a,-b)

There are four quadrants in a coordinate plane

Point (-a,-b) is in the second quadrant

The given parameter is:

When a point is rotated by 180 degrees, the coordinates of the point get negated.

i.e. the rule of 180 degrees rotation is:

Substitute a and b for x and y

This means that: (-a,-b) is (a,b) rotated by 180 degrees

The second quadrant is 180 degrees from the fourth quadrant.

Hence, point (-a,-b) is in the second quadrant

Read more about quadrants at:

link

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Explanation:

"if the point (a, b) is in the fourth quadrant" then the point could be something like (6, -5) which is one of infinitely many examples. So we see that a = 6 and b = -5. Any point in quadrant 4 has a positive x coordinate and negative y coordinate.

Since (a,b) = (6,-5), this means (-a, -b) = (-6, -(-5)) = (-6, 5) which is in quadrant 2. Any point in quadrant 2 has a negative x coordinate and positive y coordinate.

The quadrant diagram is shown below, as well as the points mentioned.

Side note: The rule represents a rotation of 180 degrees around the origin.

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation: