The image of the point (1, -2) after a rotation of 180° about the origin is

(-2, 1)
(2, -1)
(-1, 2)

(-1,2)

Step-by-step explanation:

Found answer on .

(-1,2)

Step-by-step explanation:

In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).

(1,-2)×(-1x, -1y)= (-1,2) .

if both points were negative, the points would be positive. if they were positive, they would be negative.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2