Proving Parallelograms in a Coordinate Plane

If you can prove that one pair of opposite sides are congruent, you can prove that the shape is a parallelogram.

• True

• False

You can use the slope formula to calculate the lengths of opposite sides of a parallelogram.

• True

• False

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

Which of the following has the slope formula written correctly?

•  $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

• $\frac{\left(x_2-x_1\right)}{\left(y_2-y_1\right)}$

• $\frac{\left(y_1-y_2\right)}{\left(x_2-x_1\right)}$

• $\frac{\left(x_1-y_1\right)}{\left(x_2-y_2\right)}$

What formula would you use to show lengths are equal?

• Slope Formula

• Distance Formula

• Midpoint Formula

Which formula is shown?

• Slope

• Distance

• Midpoint

If I want to show two lines are parallel what formula do I use?

• Slope

• Distance

• Midpoint

• Pythagorean Theorm

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

• 
• 
• 

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