Question

What would be the coordinates of the image of (10,-4) rotated clockwise about the origin through a 90-degree angle?
Answer

(-4,-10)

(6,1)

(-2,1)

(1,2)

Answer 1

There are some different ways to approach it. You may have seen some trigonometric formulas for finding the coordinates after you perform a rotation, or we could try looking at it graphically.

Answer 2

You might notice that:after the rotation, x and y change their values and their quadrant.
As this point is in the fourth quadrant, rotating 90 degrees about origin gives the third quadrant.
http://openstudy.com/updates/518a0c99e4b0d254cf0e7532
@Shadowys

Answer 3

@Shadowys

So, the point will be (-4,?), where both x and y are negative because they are in the third quadrant.

Answer 4

If you rotate the point 90 degrees clockwise, it will end up on that line
because that angle is 90 degrees, so you can see what is happening graphically

Answer 5

Now for 90 degree rotations, getting the coordinates, is actually easy to calculate.
It flips the numbers around and takes the negative of the y

so (10, -4) --> (-4, -10) and hopefully that is a choice.

Answer 6

Yep. =]

Answer 7

Thank u!

Answer 8

Yw