Rotating shapes about the origin by multiples of 90 degrees

If your asking about rotating a shape 90 degrees about the origin, heres how to. Note the corresponding clockwise and counterclockwise rotations. Rotating a shape 90 degrees is the same as rotating it 270 degrees clockwise. The convention is that when rotating shapes on a coordinate plane, they rotate counterclockwise, or towards the left.

Now to solve your question!

Assuming the original was rotated counterclockwise, and this only works for a rotation about the origin, a rotation of 90 degrees switches the x and y coordinate and depending on which part of the graph (quadrant) it is in the signs may change as well.  First, and the trickiest part is finding how the signs change.

There are four quadrants, first, second third and fourth starting with the upper right than upper left than lower left then lower right.Since none of the veracities have a 0 in them we don't have to worry about the x or y axis, though it is worth realizing each axis is 90 degress from the others.  So something  at 2 on the x axis (2,0) moves 90 degrees counterclockwise would then be at 2 on the y axis (0,2) and moves one more time would be at (-2,0).

A' is in the first quadrant (upper right) so the previous quadrant 90 degrees clockwise is the fourth quadrant (lower right).  The signs of the coordinates then will go from (+,+) to (+,-).

Now that we have the signs we just switch the coordinates so (6,3) goes to (3,6) and the sign change makes it (3,-6).  Just follow this pattern with the other two points (-2,1), and (1,7) find the signs by figuring out the previous quadrant than switch the coordinates and apply the sign changes

So your answer would be:

A=(3,-6) B=(1,2) C=(7,-1)

the rotated point B is then at (3, -7)

Step-by-step explanation:

the specification says a rotation of -90 degrees (counter clockwise) around the point (0, 0).

a turn by 90 degrees in any direction brings it always into the next quadrant, because every quadrant represents 90 degrees.

the rotated point will have the same distance from the center, of course. and the angle of the connection line center to B to the negative x-axis will be then the same as the angle of the connection line to the rotated point to the negative y-axis.

just think about rotating the original graph by -90 degrees. point B stays on the grid were it is and moves with the grid, and we just flip the coordinate axis.

so, it will be (3, -7).

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points