Please help me with these geometry questions.

Question

Given triangle ABC with A (-2,2), B (2,4), C (4,-4), write the equation on the line containing mid-segment XZ in standard form, where X is the midpoint of AB, and Z is the midpoint of BC.

a. x - y = 3

b. y - x = 3

c. x + y = -3

d. x + y = 3

Which expression finds the measure of each exterior angle of a regular pentagon with n number of sides.

a. 360(n - 2) / n

b. 180(n - 2) / n

c. 360 / n

d. 360 / n - 2

Answer 1

Midpoint of AB is average of x and y coordinates of A and B (0,3).

Midpoint of BC is average of x and y coordinates of B and C (3,0).

So slope of XZ is (0-3)/(3-0) = -1

Using (0,3) equation of the line in point-slope form is y - 3 = -1(x - 0) ---> y - 3 = -x -----> x + y = 3

The sum of the exterior angles of a regular polygon with n sides is always 360 degrees, so the measure of each exterior angle would be 360/n.