(a) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to
give the coordinates after the rotation.
original coordinates final coordinates
X(1, - 5)
Y(8, 2)
z(6,-4)
(b) Choose the general rule below that describes the rotation
mapping AXYZ to AX'Y'Z'.
o (x, y) → (y, x)
o (x, y) = (x,-y)
o (x, y) = (-y, x)
o (x, y) = (-x, y)
o (x, y) = (y, -x)
o (x, y) + (-y, -x)
o (x, y) = (-x, -y)

because they could drop even lower..

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.