Coordinate Proofs

All squares are rectangles

A square is a rhombus.

Every rectangle is a rhombus.

A quadrilateral with all congruent angles would best be described as a -?-

A quadrilateral opposite angles congruent would best be described as a -?-

A quadrilateral will all congruent sides would best be described as a -?-

classify the quadrilateral

The figure is a parallelogram.

Solve for x.

How would you prove a quadrilateral is a rhombus using the distance formula?

Sarah proved that each side has a distance of

$$\sqrt{29}$$  . What does this mean?

Julia proved ETNU is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What does this mean?

Julia proved ETNU is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What can she classify ETNU as?

Drew used the distance formula and found each side to have a distance of 4. What does that mean?

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?  

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?  

Diagonals of a parallelogram are perpendicular.

Diagonals are congruent in all -?-

Diagonals of a rhombus are congruent.

If JOSE is a rhombus, JO = 3x - 5 and OS = 13 cm. What is the perimeter of JOSE?

If PONS is a rectangle, PN = 2x - 5 and OS = 17. Solve for the value of x.