Answer:
G = (3,1)
H = (0,4)
I = (-2,-3)
Step-by-step explanation:
ok the important thing to note here is in which quadrant the point will be after rotation. in the question it says the points are rotated 90degrees.
we can start by point G;
it is initially in 2nd quadrant. if we were to rotate it 90 to the right. it will become in the 1st quadrant. its intial point is (-1,3) so when you rotate it 90degree to right, the y value which is 3 become the x value and the x value will become the y value. also in the 1st quadrant all points are positive, there are no negative points, so the new point of G will be;
(-1, 3) after rotation is (3,1) you see y=3 became x=3 and x= -1 became x= 1
point H;
if we look at it after 90 degree rotation the point H will be in the 1st quadrant. and we know that in the 1st quadrant both x and y are positive.
so do the same thing flip the y value to x and x value to be y.
(-4, 0) after rotation is (0 , 4)
point I;
the point I which is (3, -2) is in the 4th quadrant. so its the same rule. when you rotate it 90 degrees flip x point with the y point and y point with the x point. you should know after rotation it will be in the 3rd quadrant. in the 3rd quadrant x is negative and y is also negative. so, our new x and y points for I will be both negative after we flip x and y.
(3, -2) after 90 degree rotation becomes (-2, -3)
.
= -0.0507%