Download Unit 7 Review

Geometry
Name ____________________________________
Unit 7 Review
Date ________________
Determine if each quadrilateral is a parallelogram (circle yes or no). If yes, state which reason allows you to
make that conclusion.
1.
2.
Yes or No
Yes or No
Reason: _____________________________
Reason: ___________________________________
____________________________________
__________________________________________
3.
4.
Yes or No
Yes or No
Reason: _____________________________
Reason: ___________________________________
____________________________________
__________________________________________
5.
6.
Yes or No
Yes or No
Reason: _____________________________
Reason: ___________________________________
____________________________________
__________________________________________
7. Check the appropriate boxes in the chart. This chart will appear on the test.
Property
Parallelogram
Rectangle
Rhombus
Opposite sides are
parallel.
Opposite sides are
congruent.
Opposite angles are
congruent.
Diagonals bisect each
other.
Diagonals are
congruent.
Diagonals are
perpendicular.
A diagonal bisects two
angles.
All angles are right
angles.
All sides are congruent.
True or False.
8. ___________ A rhombus is a parallelogram.
9.____________ All parallelograms are rectangles.
10. ___________ Diagonals in a square are congruent.
11. ___________ A trapezoid can be a parallelogram.
12. ___________ In an isosceles trapezoid, the bases are congruent.
13. ___________Diagonals in a rectangles are perpendicular.
14. ___________ All squares are rhombi.
15. ___________ All rhombi are squares.
16. ___________ The diagonals of a rhombus bisect its angles.
17. ___________ Opposite angles in a parallelogram are congruent.
18. ___________ Consecutive angles in a parallelogram are supplementary.
19. ___________ Base angles in an isosceles trapezoid are congruent.
20. ___________ A rectangle can be a rhombus.
Use the diagram of parallelogram ABCD to find the missing measures.
21. EC = ________
A
B
40
22. mACD = ___________
10
23. mABC = ___________
E 3x+1
60
24. AC = ___________
D
C
Square
25. Given that ABCD is a parallelogram, find each of the following:
A
a) If AB = 10, then CD = _____________
B
b) If BE = 6, then BD = _____________
A
E
c) If m<BAD = 106, then m<BCD = _____________
D
C
d) If m<BEC = 20, then m<BEA = ______________
e) If AC = 14, then EC = _______________
f) If m<ABC = 58, then m<BCD = ______________
26. Given that GEOM is a rectangle, find each of the following:
a) If GO = 36, then ET = ____________
G
E
b) m<EGM = ___________
T
c) If m<GET = 35, then m<TOE = ______________
O
M
d) If GM = 8, then EO=___________
27. Given that MATH is a rhombus, find each of the following:
a) m<MQA = _______________
M
A
b) If HQ = 8, then QA = _______________
c) If m<HMQ = 43, then m<QMA = ______________
d) If m<MHQ =35, then m<QAT = ______________
28. Given that TRIG is a square, find each of the following:
Q
H
T
T
R
a) m< GTI = _______________
b) m<TMG = ______________
c) If GR = 13, then TI = ________________
M
G
I
29. Given that TRAP is a trapezoid, find each of the following:
T
R
a) If TP=RA, then it is a(n) _______________ trapezoid.
b) If RT = 10 and AP = 14, then XY = ______________
Y
X
c) If TP = 16, then XT = ______________
d) If XY =3x, and PA=2x-1, and TR=x+7, find:
x = _________
TR =_________
XY= __________
P
PA = __________
A