Coordinate Geometry Proofs of Quadrilaterals

1

• Find the lengths of the diagonals.

• Find the slope of each diagonal.

• Find the midpoint of each diagonal.

• Find the midpoint of each side.

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.

• Find the slope of two consecutive sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of two consecutive sides.

• 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. 

• mAB ∙ mBC = -1

• AB = CD

• AB = BC

• mAB = mBC

Which of the following will be the correct CLAIM?

• ABCD is a rhombus.

• ABCD is a parallelogram.

• ABCD is a rectangle.

• ABCD is a square.

Brad proved that ABCD is a parallelogram and that all sides had the same distance What should he do next if he wants to prove it is a square?  

• He doesn't need to do anything else, it looks like a square so he is all set. 

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