Rectangle DEFG with vertices D(-2, 7), E(2, 3), F(0, 1), and G(-4, 5): a) translation along the rule (x, y) → (x+6, y-8)
b) reflection in the y-axis

D'(_, _)
E'(_, _)
F'(_, _)
G'(_, _)

D' (-4, -1)

E' (-8, -5)

F' (-6, -7)

G' (-2, -3)

Step-by-step explanation:

To solve this each point would go under this:

(x, y) --> (-1(x + 6), y - 8)

the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis

D --> D':

(-2, 3) --> (-4, -1)

E -- E':

(2, 3) --> (-8, 5)

F --> F':

(0, 1) --> (-6, -7)

G --> G':

(-4, 5) --> (-2, -3)

the image of (6, 9) under a dilation is (4, 6). the scale factor is

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3