Figures in the Coordinate Plane

HIJK is a parallelogram because the midpoint of both diagonals is _________ 2)7,) means the diagonals bisect each other.

1, 0

In the diagram m, WZ = √26. The perimeter of parallelogram WXYZ is 2√26 + _____ units.

8

In the diagram, DG || EF. What additional information would prove that DEFG is an isosceles trapezoid?

a. DE ~= GF

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

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

Which statement proves that quadrilateral JKLM is a kite?

b. LM = JM = 3 and JK = LK = √17

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

c. 10 + √10 units

In the diagram, ZY = WX = 2√10. What is the perimeter of rectangle WXYZ?

c. 6√10 units

In the diagram, AB = 10 and AC = 2√10. What is the perimeter of ABC?

d. 20 + 2√10 units

What is the perimeter of LMN?

d. 8 + √10 units

What is the perimeter of trapezoid JKLM?

d. 9 + √2 + √5 units

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

d. LP _|_ PN

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

d. The midpoint of both diagonals is (4 1/2, 5 1/2), the slope of RP is 7, and the slope of SQ is -1/7

Which statement proves that parallelogram KLMN is a rhombus?

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

The perimeter of rhombus ABCD is _____ units.

20

The perimeter of kite WXYZ is 2√53 + 10 units

10