Practice Quadrilaterals 2/3/16
Date:
Name:
1.
In rectangle ABCD, diagonal AC = x + 10 and
diagonal BD = 2x 30. Find the value of x.
2.
In the accompanying diagram of parallelogram
ABCD, mOA = 2x 10 and mOB = 5x + 15.
Find x.
3.
In the parallelogram ABCD, mOA = 2x + 50 and
mOC = 3x + 40. The measure of O A is
A.
4.
18
B.
20
C.
70
D. 86
Two adjacent sides of a rhombus are represented
by 5x + 7 and 6x 1. Find the value of x.
page 1
5.
In the accompanying diagram, ABCD is a
parallelogram with mO B = 120, mOC = 60,
mOD = 2x + 5y, and mOA = 4x + y. Find the
values of x and y. Check your solution.
6.
The diagram below shows isosceles trapezoid
ABCD with AB k DC and AD = BC. If
mOBAD = 2x and mOBCD = 3x + 5, nd mOBAD.
7.
In the diagram below of ^HQP, side HP is
extended through P to T, mO QPT = 6x + 20,
mOHQP = x + 40, and mOPHQ = 4x 5. Find
mOQPT.
9.
In the diagram below, EF is the median of
trapezoid ABCD.
If AB = 5x 9, DC = x + 3, and EF = 2x + 2, what
is the value of x?
A.
8.
10.
In the diagram below of quadrilateral ABCD
with diagonal BD, mOA = 93, mOADB = 43,
mOC = 3x + 5, mOBDC = x + 19, and
mODBC = 2x + 6. Determine if AB is parallel to
DC. Explain your reasoning.
11.
page 2
5
B.
2
C.
7
D. 8
A quadrilateral with four congruent sides and an
angle measuring 60 must be a
A.
rhombus
B.
square
C.
rectangle
D. trapezoid
Which gure can not have both pairs of opposite
sides parallel?
A.
parallelogram
B.
rectangle
C.
rhombus
D. trapezoid
Practice Quadrilaterals 2/3/16
12.
Which statement is true?
A.
Every square is a rhombus.
B.
Every rhombus is a square.
C.
Every trapezoid is a parallelogram.
15.
In the accompanying diagram of parallelogram
ABCD, AB is extended to E such that CB = CE.
If mOADC = 100, what is mOCEB ?
D. Every parallelogram is a rectangle.
A.
13.
If the diagonals of a parallelogram are
perpendicular and not congruent, then the
parallelogram is
A.
a rectangle
B.
a rhombus
C.
a square
100
B.
80
C.
50
D. 40
16.
In the accompanying diagram of parallelogram
ABCD, side AD is extended through D to E
and DB is a diagonal. If mOEDC = 65 and
mOCBD = 85, nd mOCDB.
17.
In the accompanying diagram of parallelogram
ABCD, DE is perpendicular to diagonal AC. If
mOBAC = 40 and mOADE = 70, nd mOB.
D. an isosceles trapezoid
14.
In the accompanying diagram, ABCD is a
parallelogram with altitude DE drawn to side AB.
If mOB = 140, nd mOADE.
page 3
Practice Quadrilaterals 2/3/16
18.
In the accompanying diagram, ABCD is a
parallelogram with altitude DE drawn to side AB.
If DE = AE, nd the measure of OA.
20.
In the diagram below of parallelogram ABCD
with diagonals AC and BD, mmO1 = 45 and
mODCB = 120 .
What is the measure of O2?
A.
19.
15
B.
30
C.
45
D. 60
In the accompanying diagram of parallelogram
MATH, mOT = 100 and SH bisects OMHT. What
is mOHSA ?
A.
80
B.
100
C.
120
D. 140
page 4
Practice Quadrilaterals 2/3/16
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Practice Quadrilaterals 2/3/16
1.
Answer:
40
2.
Answer:
25
3.
Answer:
C
4.
Answer:
8
5.
Answer:
(10; 20)
6.
Answer:
70
7.
Answer:
110
8.
Answer:
Parallel
9.
Answer:
A
10.
Answer:
A
11.
Answer:
D
12.
Answer:
A
13.
Answer:
B
14.
Answer:
50
15.
Answer:
B
16.
Answer:
30
17.
Answer:
120
18.
Answer:
45
19.
Answer:
D
20.
Answer:
A
02/03/2016