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1. Find the sum of the measures of the
interior angles of a convex 30-gon.
5040
5400
360
168
30
2. Find the measure of one interior
angle of a convex decagon.
80
180
1440
144
360
3. Find the sum of the measures of the
exterior angles of a convex 21-gon.
210
21
180
3420
360
4. If the measure of each interior angle
of a regular polygon is 108, find the
number of sides in the figure.
72
5
9
15
108
5. Find x for parallelogram ABCD if
BC = 3x + 20 and AD = 5x – 12.
16
4
10.25
21.5
5
6. Parallelogram ABCD has vertices
A(0,0), B (2,4) and C(10,4). Find the
possible coordinates of D.
(8,0)
(10,0)
(0,4)
(10,8)
(0, 8)
7. ABCD is a rectangle with diagonals AC
and BD. If AC = 2x + 10 and BD = 56,
find x.
18
33
78
122
23
8. Find the median of a trapezoid
with bases of 15 m and 27 m.
6
12
21
19
24
9. The length of one base of a trapezoid
is 44, the median is 36 and the other
base is 2x + 10. Find x.
17
9
21
40
35
10. Find x.
138
30
102
66
60
x
2x + 10
X-20
X + 40
11. On a coordinate plane, the four corners of
Ronald’s garden are located at (0,2), (4, 6), (8, 2) and
(4, -2). Which of the following most accurately
describes the shape of Ronald’s garden?
square
rectangle
rhombus
trapezoid
parallelogram
12. Find x and y so that ABCD will
be a parallelogram.
A
X = 6, y = 42
X = 6, y = 22
B
X = 20, y = 42
X = 20 , y = 2
X = 8, y = 34
32˚
4x
24˚
(y-10)˚
C
D
13. In trapezoid DEFG, find
the measure of angle D. D
28
72
108
136
44
E
136
F
72
G
K
14. For rhombus GHJK,
find angle 1.
G
1
J
22⁰
H
68
22
44
90
111
15. Determine whether ABCD is a
parallelogram. Justify your answer.
B
A
Yes; opposite sides congruent (T6.9)
No; not enough information
D
Yes: opposite sides parallel (def’n of parallelogram)
Yes; opposite angles congruent (T6.10)
Yes; opposite sides congruent (T6.3)
C
16. Given rectangle ABCD, find the
measure of angle ABD.
D
A
9
3x + 6
21
B
51
39
44
5x - 4
C
17. Name the missing coordinates for
the rectangle with length twice the
width.
B(0,a)
C(?,?)
C(2a, b) , D(2a, 0)
C(2a,a) , D(2a, 0)
C(a, b) , D(a, 0)
C(a, b) , D(0, a)
C(2a, b) , D(0, 2a)
A(0,0)
D(?,?)
18.Give the reason for the second
A
line in the proofGiven: ABCD is parallelogram
Prove: AC ≠ BD
D
C
B
given
statement
reason
ABCD is parallelogram
given
CPCTC
AD ≅ CB
?
substitution
T6.3; opposite sides of a parallelogram are congruent
T 6.9; opposite sides congruent make a parallelogram