Proving Quadrilaterals in the Coordinate Plane

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

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

• mBC=mCD and BC = CD

• mAB = mCD

• AB = CD, BC = AD

• mAB ∙ m BC = -1

• Find the length of all 4 sides.

• Find the length of both diagonals.

• Find the slope of both diagonals

• Find the slope of all 4 sides.

• Find the length of 2 consecutive sides

• Find the slope of two consecutive sides

• Find the length of all 4 sides

• Find the length of two opposite sides

Brad proved that ABCD is a parallelogram by proving both sets of opposite sides to be parallel. What should he do next if he wants to prove it is a rhombus?

• Find the distance of each line to see if they are congruent. 

• Compare the slopes of adjacent sides to see if they are perpendicular. 

Which of the following will be an accurate ANALYSIS?

• All sides are equal. No right angles.

• All sides are equal. All right angles.

• Opposite sides are equal. No right angles.

• Opposite sides are equal. All right angles.

Which of the following will be an accurate ANALYSIS?

• Opposite sides are equal and parallel. All right angles.

• Opposite sides are equal and parallel. No right angles.

• All sides are equal. All right angles.

• All sides are equal. No right angles.

• mAB ∙ mBC = -1

• AB = CD

• AB = BC

• mAB = mBC