Figures in the Coordinate Plane

In the diagram, WZ=. What is the perimeter of parallelogram WXYZ?

D

What additional information would prove that DEFG is an isosceles trapezoid?

DE ≅ GF

LMNP is a parallelogram. What additional information would prove that LMNP is a rectangle?

LP ⊥ PN

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

The midpoint of both diagonals is , the slope of RP is 7, and the slope of SQ is .

Which statement proves that parallelogram KLMN is a rhombus?

The slope of KM is 1 and the slope of NL is -1.

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

Use the distance formula to find the length of each side, and then add the lengths.

What is the perimeter of rhombus ABCD?

20 units

Which statement proves that quadrilateral JKLM is a kite?

B

Triangle ABC is an isosceles triangle in which AB = AC. What is the perimeter of △ABC?

C

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1,0)