Question: Given Quadrilateral ABCD with vertices A(-8, 12), B(0, 4), C(8, 4) and D(4, 16). (a. Dilate quadrilateral ABCD by the dilation rule (x, y) → (4x, y) to create quadrilateral A'B'C'D'.

(b. What are the coordinates of the vertices of A'B'C'D'?

(c. How do the measures of the corresponding angles compare?

(d. How do the measures of the corresponding sides compare?

(e. Are the corresponding sides parallel? Explain.

d

step-by-step explanation:

d

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2