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8.1-8.4 Quiz REVIEW
Name: __________________________________
Geometry CP
Find the sum of the measures of the interior angles of the indicated convex polygon.
1. 21-gon
2. 35-gon
3. 50-gon
The sum of the measures of the interior angles of a convex polygon is given. Classify the
polygon by the number of sides.
4. 1440˚
5. 3780˚
6. 8820˚
8.
9.
Find the value of x.
7.
10. What is the measure of each interior angle of a regular octagon?
Use the diagram of parallelogram MNOP at the right to complete each statement.
11. MN  ________
12. MN //_______
13. ON //_______
14. MPO  _______
15. PQ  _______
16. QM  _______
17. MQN  _______
18. NPO  _______
Find the value of each variable in the parallelogram.
19.
20.
21.
22.
23.
24.
In #25-26, Find the value of the variables for the following parallelograms.
8x+8y
25.
2 
(x )
y˚
26.
11
x + 5y
(11x)˚
24
For #27, find the PERIMETER of the parallelogram. In #28 find the side length of the
parallelogram.
27.
28.
For what value of x is the quadrilateral a parallelogram?
29.
30.
31.
The vertices of quadrilateral ABCD are given. Draw ABCD in a coordinate plane and verify
that ABCD is a parallelogram. Include a short conclusion to explain your work.
32.
33.
Decide whether the statement is true or false. Circle either true or false.
34. If a quadrilateral is a rectangle, then it is a parallelogram.
True/False
35. If a quadrilateral is a parallelogram, then it is a rhombus
True/False
36. If a quadrilateral is a square, then it is a rhombus
True/False
37. If a quadrilateral is a rectangle, then it is a rhombus.
True/False
Classify the special quadrilateral. Explain your reasoning. Then find the values of x and y.
38.
39.
Find the length or angle measure.(Hint: DRAW A PICTURE!)
40. WXYZ is a square
WX = 1 – 10x
YZ = 14 + 3x
XY = ________
41. WXYZ is a rhombus
m ∠ X = 24(10 – x) ˚
m ∠Z = 6(x + 15)˚
m ∠Y = ________
The diagonals of rhombus PQRS intersect at T. Given that m ∠RPS = 30˚ and RT = 6, find the
indicated measure.
42. m ∠QPR
43. m ∠QTP
44. RP
45. QT
The diagonals of rectangle WXYZ intersect at P. Given that m ∠YXZ = 50˚ and XZ = 12, find the
indicated measure.
46. m ∠WXZ
47. m ∠WPX
48. PY
49. WX
The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.
50. m ∠GHF
51. m ∠DGH
52. DE