Parallelograms in the Coordinate Plane

If you want to prove a parallelogram in the coordinate plane using the both the slope formula and distance formula, how many times do you need to do each?

• 1

• 2

• 3

• 4

You can prove both pairs of opposite sides are congruent in a parallelogram using the distance formula.

• True

• False

You can prove both pairs of opposite sides are parallel by using the slope formula.

• True

• False

If you are using the distance formula to prove a parallelogram in the coordinate plane, how many times do you have to do it?

• 1

• 2

• 3

• 4

• a

• b

• c

• d

ABCD is a parallelogram, so the diagonals bisect each other. What is the midpoint of the diagonals?

• (a+c,b)

• (c/2,b/2)

• ((a+c)/2,b/2)

• (a/2,b/2)

• Find the length of all 4 sides.

• Find the length of both diagonals.

• Find the slope of both diagonals

• Find the slope of all 4 sides.

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

What conclusion would you make if the you calculated the slopes to be this?

• Opposite sides parallel

• Consecutive sides or Diagonals are perpendicular

• Opposite sides are congruent

• none of these