Parallelograms and Proving Parallelograms

What formula would you use to find the length of each side of a parallelogram?

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

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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?

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

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

How many pairs of sides are congruent in a parallelogram?

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Which shape is NOT a type of parallelogram?

• trapezoid

• rectangle

• rhombus

• square

State which method shows that the quadrilateral is a parallelogram

• Diagonals bisect each other

• Both pairs of opposite sides are parallel

• Both pairs of opposite sides are congruent

• Consecutive angles are supplementary

State which method shows that the quadrilateral is a parallelogram.

• Both pairs of opposite sides are parallel

• Both pairs of opposite sides are congruent

• One pair of opposite sides are both parallel and congruent

• Both pairs of opposite angles are congruent

State which method shows that the quadrilateral is a parallelogram.

• Both pairs of opposite sides are parallel

• Both pairs of opposite sides are congruent

• Diagonals bisect each other

• Consecutive angles are supplementary