Parallelogram Coordinate Proofs

Which could prove that this is a parallelogram?

• Consecutive sides have opposite reciprocal slopes

• Opposite sides have the same slope

• All sides have the same length

• Diagonals have the same length

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

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 ?

• ( 5,5 )

• ( 1,-1 )

• ( -1,3 )

• ( 2, -2 )

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

• distance

• midpoint

• slope

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

• different

• equal

• negative

• opposite reciprocals

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

• slope

• distance

• midpoint

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

• different

• opposite reciprocals

• the same

• positive

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

• parallel

• perpendicular

• intersecting

• congruent

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

• are congruent

• are perpendicular

• bisect each other

• are parallel