Download math422practice jan15 Name: Date: 1. In parallelogram ABCD, the

math422practice jan15
Name:
Date:
1.
In parallelogram ABCD, the measure of OABC is
130 . Find the measure, in degrees, of ODAB.
2.
In quadrilateral ABCD, mOA = 72, mOB = 94, and
mOC = 113. What is mOD?
A.
3.
4.
81
B.
86
C.
108
5.
In parallelogram ABCD, diagonal AC ? CD. If
mOACB = 40, nd mOADC.
6.
In parallelogram ABCD, mOA is 30 more than
mOB. Find the measure of mOD.
7.
The measures of the interior angles of a
quadrilateral are in the ratio of 1 : 2 : 3 : 4. What is
the measure of the smallest exterior angle of the
quadrilateral?
D. 136
Which quadrilateral must have congruent
diagonals?
A.
trapezoid
B.
rectangle
C.
rhombus
D. parallelogram
A.
8.
In parallelogram ABCD, the measures of angles A
and B are in the ratio 1 : 8. Find mOA.
page 1
36
B.
72
C.
108
D. 144
The measures of two consecutive angles of a
parallelogram are in the ratio 3 : 7. Find the
measure of an acute angle of the parallelogram.
9.
In the accompanying diagram, ABCD is a rhombus
and mOEAD = 110. Find mOCBF.
12.
As shown in the diagram of ^ACD below, b is a
point on AC and DB is drawn.
If mOA = 66, mOCDB = 18, and mOC = 24, what
is the longest side of ^ABD?
A.
10.
11.
AB
B.
DC
C.
AD
D. BD
In the accompanying diagram of rhombus ABCD,
diagonal AC is drawn. If mOCAB = 35 nd
mOADC.
In rectangle ABCD, AC and BD are diagonals. If
mO1 = 55, nd mOABD.
13.
In ^ABC , mOA = x2 + 12, mOB = 11x + 5, and
mOC = 13x 17. Determine the longest side of
^ABC .
14.
For which measures of the sides of ^ABC is
angle B the largest angle of the triangle?
A.
AB = 2, BC = 6, AC = 7
B.
AB = 6, BC = 12, AC = 8
C.
AB = 16, BC = 9, AC = 10
D. AB = 18, BC = 14, AC = 5
page 2
math422practice jan15
15.
The number of sides of a regular polygon whose
interior angles each measure 108 is
A.
16.
17.
5
B.
6
C.
7
18.
D. 4
Given:
quadrilateral ABCD, BD intersects AC at E,
and BD bisects OABC and OADC.
Prove:
AE = EC
If the measure of an exterior angle of a regular
polygon in 45 , then the polygon is
A.
a decagon
B.
an octagon
C.
a pentagon
D. a square
Given:
quadrilateral ABCD with diagonals AC and BD,
O1 = O2, and BD bisects AC at E.
Prove:
ABCD is a parallelogram
page 3
math422practice jan15
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math422practice jan15
1.
Answer:
50
2.
Answer:
A
3.
Answer:
B
4.
Answer:
20
5.
Answer:
50
6.
Answer:
75
7.
Answer:
A
8.
Answer:
54
9.
Answer:
70
10.
Answer:
110
11.
Answer:
35
12.
Answer:
A
13.
Answer:
AC , and appropriate work is shown.
14.
Answer:
A
15.
Answer:
A
16.
Answer:
B
17.
Answer:
[proof]
18.
Answer:
[proof]
01/15/2016