SOLUTION: Okay I have to graph the points A(-5,0) , B(3, 2) C(5, 6) and D(-3 4). Then show that ABCD is a parallelogram by two different methods. A. Show that one pair of opposite sides

Algebra ->  Parallelograms -> SOLUTION: Okay I have to graph the points A(-5,0) , B(3, 2) C(5, 6) and D(-3 4). Then show that ABCD is a parallelogram by two different methods. A. Show that one pair of opposite sides       Log On


   



Question 871321: Okay I have to graph the points A(-5,0) , B(3, 2) C(5, 6) and D(-3 4). Then show that ABCD is a parallelogram by two different methods.
A. Show that one pair of opposite sides are congruent and parallel.
B. Show that the diagonals bisect each other (have the same midpoint)
So shpuld I use midpoint distance or slope formula.?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
A)Use distance formula, d = square root((X2 - X1)^2 + (Y2 - Y1)^2)
Use slope to show parallel sides m = (Y2 - Y1) / (X2 - X1)
B) Use slope to determine equations for the diagonals
then determine y = mx + b where b is y intercept
Set equations equal to each other to solve for x intercept, then y intercept follows from the equation/s