Question

c. j(1, -1), k(3, 0), l(0, -4); x = 2
d. j(3, -5), k(4, -1), l(0, -3); y = -3
e. a(6, -3), b(1, -2), c(4, 1); y = x
f. a(1, 2), b(4, 2), c(3, -2); y = -x

1. write a rule to describe each transformation

a.
b.

Explanation:

Step1: Reflect over x=2: (x,y)→(4-x,y)

J(1,-1)→(3,-1); K(3,0)→(1,0); L(0,-4)→(4,-4)

Step2: Reflect over y=-3: (x,y)→(x,-6-y)

J(3,-5)→(3,-1); K(4,-1)→(4,-5); L(0,-3)→(0,-3)

Step3: Reflect over y=x: (x,y)→(y,x)

A(6,-3)→(-3,6); B(1,-2)→(-2,1); C(4,1)→(1,4)

Step4: Reflect over y=-x: (x,y)→(-y,-x)

A(1,2)→(-2,-1); B(4,2)→(-2,-4); C(3,-2)→(2,-3)

Answer:

c. J'(3,-1), K'(1,0), L'(4,-4)
d. J'(3,-1), K'(4,-5), L'(0,-3)
e. A'(-3,6), B'(-2,1), C'(1,4)
f. A'(-2,-1), B'(-2,-4), C'(2,-3)