Parallelogram Coordinate Proofs

Which could prove that this is a parallelogram?

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

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

Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could not be Norman's point ?

If you want to show that segments (sides or diagonals) are CONGRUENT in a coordinate proof, you would use the _______ formula.

If you are using the distance formula to prove that sides or diagonals are congruent, then the distances should be ______.

If you are proving that the diagonals of a parallelogram BISECT each other, you would use the ______ formula.

If the diagonals bisect each other, then their midpoints will be ______.

The slopes of the opposite sides of a quadrilateral both equal 3/5. This shows that the sides are _____.

The midpoint of diagonal AC = the midpoint of diagonal BD. This proves that the diagonals ________.