A.) Vertical angles are congruent.

B.) two lines are parallel, then the corresponding angles formed are congruent.

C.) If two lines are parallel, then the same-side interior angles formed are congruent.

D.) If two lines are parallel, then the alternate interior angles formed are congruent.

D

Step-by-step explanation:

The two lines marked with the pink arrow means that they're parallel, which means the other lines connecting them are the transversals. Because the set of angles listed in D are opposite sides of each transversal and inside of the parallel lines, it makes the most sense.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)