Proving 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

Which method will NOT prove the quadrilateral is a parallelogram.

• Show that a pair of sides are congruent and parallel.

• Show that both pairs of opposite sides are congruent

• Show that both pairs of opposite sides are parallel

• Show that a pair of sides are parallel

Fill in the Reason

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Which statement must be true?

Fill in the Reason.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Fill in the Reason.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

If I have a parallelogram labeled ABCD and I am going to prove it using the slope formula, what sides need to be congruent?