Geometry
Review Unit 5 - Quadrilaterals
Name ________________________________
For Questions #1-4, you are given the quadrilateral. State the correct SIDES and DIAGONAL statements that are known
for each figure.
1) If Quadrilateral DEFG is a Square, then
2) If Quadrilateral DEFG is a Rectangle, then
_______ = ________ = _________ = __________
_______ = ________
_______ = ________
_______ = ________
_______ = ________
3) If Quadrilateral DEFG is a Kite, then
4) If Quadrilateral DEFG is a Rhombus then
_______ = ________
_______ = ________ = _________ = __________
_______ = ________
_______ ≠ ________
_______ ≠ ________
Is there enough information to prove that the quadrilateral is a parallelogram? Yes or No.
5.
6.
7.
9.
10.
Find XY in each parallelogram.
8.
Find the values of the variables for each figure.
11. x = _____________
12. x = __________ y =______________
13. x =_____________
14. x = ________ y = _________
t = __________
16.
 1 = __________  2 = __________
17.
 1 = __________  2 = __________
18
 1 = __________  2 = __________
19.
 1 = ________  2 = ________  3 = _______
20.
 1 = ________  2 = ________  3 = _______
15.
m = ___________
21. x = _____________
22. Use slope and distance to determine what type of quadrilateral has the following vertices. Explain
your reasoning. Hint: Draw a sketch!
A(0,6), B(3,3), C(0,-5), D(-3,3)
Slope
Distance
AB :
______
______
BC :
______
______

CD :
______
______

DA :
______
______


Explanation:
_______
_______________
Graph the quadrilateral. Then prove why it is that precise name.
23. parallelogram P(-4, 2) Q(-1, 3), R(7, 0), S(4, -1)
What do you need to prove? ________________________________________________________________________________
Proof:
Slope:
_________ || ___________
__________ || ___________
24. isosceles trapezoid A(-1, 3), B(3, 3), C(6, -1), and D(-4, -1)
What do you need to prove? __________________________________ and __________________________________________
Proof:
25. Explain the process you would need to do (like in #23 and #24) to prove that a quadrilateral is a square.
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