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GEOMETRY A
Name
CHAPTER 5 TEST REVIEW
Date
Determine whether each of the following statements
is always, sometimes, or never true.
1.
A figure with three sides is a concave triangle.
2.
A quadrilateral is a trapezoid.
3.
The opposite angles of an isosceles trapezoid
are supplementary.
4.
A leg of a trapezoid is longer that either base.
9.
In OABCD, 6AEB ~ 6BEC.
10.
Squares are rectangles.
11. An equiangular quadrilateral is a square.
s
5.
A parallelogram is a quadrilateral.
6.
The diagonals of a parallelogram are congruent.
12. The diagonals of a parallelogram bisect a pair
of opposite angles.
S
13. One angle of a rhombus is right.
7.
s
Consecutive sides of a parallelogram are
congruent.
S
8.
Consecutive angles of a parallelogram are
complementary.
11
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14.
Consecutive angles of a rhombus are congruent.
15.
Opposite angles of a parallelogram are
complementary.
Name
t.
•
Clsss __
Date
Addition.' Prat:l1ce 1fJ
PARALLEL LINES AND
RELATED FIGURES
Use after Section 5.5
AD~OC
& \n C4, Of\C,l)
Problem Set A
-!: 0 (3 ~\V\C4/
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00
OACD is a rectangle.
OA=5
AB=2
Find AD.
Given:
B
OQXYZ
z_"" __
0
mLX
mLY
Given:
Prove:
~
X
GHJK is a rhombus.
a L5:$ L3
b L5 :$L7
c L7 :$L3
I-f A)~
») l-6=L"
"0'1 o1\~. 'oe.LS
MOPR is a square with
perimeter of 36.
MO =x + 6
£:=f
~"".~.
R
M
LO = (2y - 4)0
Solve for x and y.
<0 .;:-
LS ~t-T- bj T~.
~) L 3 ~ 1.:=1- b~ li"0f')~
G
Given:
~
<I)
L
4
_
Z
Q
mLZ
3
-=t-
1
LQ = 110
Find:
~
Oc..
1 Given:
2
_
q ;:::.
.,c -r&
4
'l-'1"''-t
~='&
'f-=-"4-=r
o
5
Given:
Prove:
p
~~;wmdL---:-'1 " t-"
Isosceles trapezoid
w
X
•..•
J- T;;:
~
'-V
"9,,\W l- ;'
• L'\f'~ fIrIZJ
T
Problem Set B
CSl.\~.
V
A
6 ABCD is a rhombus.
Perimeter of.6AED = 15+ 5vi
\0
LBAD = 60
AC = 10v3
D
Find the perimeter of the rhombus ABCD.
10
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Copyright C McDougal, Littell&: Company
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AddUional _
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to
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I.
l
Name
•
CI8SS--Date
Addltlon.ll'lICII.
PARALLEL LINES AND
RELATED FIGURES
111
Use after Section 5.5
Problem Set B (continued)
7
K
FGOM and FH)K are parallelograms.
=
LJ
(x + 5)°
LK = (2x + 1)°
FindmLO.
F
8
RSTV is a rhombus.
LVRS = 100°
LWRS = 0°
LWSR= b
Li:
>
j7
H
G
~'o
v
J
--
lso)~l:)) _ 2000
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~o
QO
O
=
LRWS
CO
F.In dab
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s
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9
Prove:
U two lines are parallel, then any pair of
perpendicular segments that begin on one
line and terminate on the other are congruent.
L~at~_
j;t
0
C-
Problem Set C
10
Prove:
U one of the angles of a rhombus is 1200, one
of the diagonals divides the rhombus into a pair
of equilateral triangles.
\-b/\
(2 ~+'1
=: y. -1-2'1-I- I
11 ABDFis a O.
~CE is an isosceles
triangle with base CE.
AC
AE
(z')(-0
= 2x + Y
= x + 2y + 1
~\J~
1••
MPRS is an isosceles
trapezoid with IJS II PIt
Atv\~T ~ A~e:r'0'/ ~S'~
?iT" ~ i:f h..l c~CTC.
. ~p~a.'bCj ,~.AS
•
V is the midpt. of PIt
++
KT passes through V.
T"'
•~
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p
AdditionalPractice 10
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\~ -1- 'o\'e>.
b~, ~
(~o" .L
, ~l\'\C4.-"
210
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E11\~
D
LMPTaLSRT
Prove:
=-
--;:::;;-r'f=~
K
Given:
Lf
)(.=- l..\
BD=2x-5
DF = 4y - 4
Find the perimeter
of OABDF.
12
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Copyright C McDougal, Littell It Company
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Geometry A
Chapter 5 TEST Review
Name
_
Teacher
_
Always, Sometimes, Never - Write A if the statement is always true, S for sometimes true,
or N for never true.
@1)
A quadrilateral is a parallelogram if the diagonals are congruent.
W2) If
m
a parallelogram is equilateral, then it is equiangular,
3) If a polygon is equilateral, then it is equiangular.
\ill4) If two angles of a trapezoid
TN 5) If
are congruent, this it is isosceles.
the diagonal of a quadrilateral divides each angle into two forty-five
~
degree angles,
,...!!..j then the quadrilateral is a square.
l]] 6) A quadrilateral
is a parallelogram if all angles are right angles.
@) A quadrilateral
is a parallelogram if each pair of consecutive angles is supplementary.
\i} 8) A quadrilateral
is a parallelogram if one pair of opposite sides is congruent and one pair of
opposite sides is parallel.
0' 9) A square
~
is a rhombus.
10) A rhombus is a kite.
I~11) A kite is a rhombus.
@ 12) An isosceles
trapezoid is a parallelogram.
JB 13) The diagonals of a kite are perpendicular.
@
14) The diagonals of a rhombus are perpendicular bisectors.
@ 15) Consecutive angles
of a parallelogram are congruent.
@16) If one pair of opposite sides of a quadrilateral is parallel and congruent, then it is an
isosceles trapezoid.
W 17) If a diagonal of a quadrilateral
is the perpendicular bisector of the other diagonal, then
the quadrilateral is a kite.
\D8) If a quadrilateral
has four right angles, then it is a rectangle.
@ 19) If
~20)
~
a parallelogram has one right angle, then the other angles are right angles.
If a quadrilateral has one right angle, then it is a rectangle.
21) Consecutive interior angles are supplementary.
@ 22) Alternate
interior angles are congruent if the lines are parallel.
\B23) If
two lines are parallel and are cut by a transversal,
congruent.
~
then the corresponding angles are
24) An interior angle of a triangle is greater than an exterior angle of the triangle.
\~)25) A remote
interior angle of a triangle is less than its exterior angle.
~26)
An exterior angle of a triangle is greater than an interior angle.
@7)
If lines a, b, and c are in the same plane with a .L c and c .L b, then a .L b.
028) If lines a, b, and c are in the same plane with a II band
~
c .L b, then a II c.
29) If lines a, b, and c are in the same plane with b II c and a II b, then a II c.
\A) 30) In a plane,
if a line is perpendicular to one of two parallel lines, then it is perpendicular
to the other.
IEJ31) If two lines are parallel to the third
.ESJ32) If
line, then they are parallel to each other .
two coplanar lines are perpendicular to a third line, then they are parallel.
@33) If consecutive midpoints of the sides of a square are connected, then a square is formed.
\:6]34)
If consecutive midpoints of the sides of a parallelogram are connected, then a
parallelogram is formed.
Geometry A
Chapter 5
Review - Multiple Choice
ill
_
Teacher
_
1) A quadrilat~ral that has co_".gruentd~agonals is a
. a) squar~,
~. rectangle
c) rhombus
-e) all of the above- ~
f) a, b, and d are true
02)
9)
~
Name
d) isosceles trapezoid
g) none of the above
The best name for a quadrilateral whose consecutive sides measure 15, 18, 15, and 18 is a
a) rectangle
b) rhombus
c) kite
d) parallelogram
The best name for a quadrilateral whose consecutive sides measure 15, 18, 18, and 15 is a
a) rectangle
b) rhombus
c) kite
d) parallelogram
4) The best name for a quadrilateral whose consecutive angles of 30, 150, 110, and 70 is a
a) trapezoid
b) rhombus
c) kite
d) parallelogram
\c) 5) The best
name for a quadrilateral whose diagonals are perpendicular, congruent, and bisect
each other is a
a) rectangle
b) rhombus
c) square
d) parallelogram
ill
\ 'b
6) The best name for a quadrilateral whose congruent diagonals bisect each other and bisect
the diagonals is a
a) rectangle
b) rhombus
c) kite
d) parallelogram
17) The best
name for a quadrilateral whose diagonals are perpendicular bisectors of each
other is a
a) rectangle
b) rhombus
c) kite
d) square
e) parallelogram
~
8) The best name for a quadrilateral with opposite angles supplementary and consecutive
angles supplementary is a
a) rectangle
b) rhombus
c) isosceles trapezoid
\-- --I
d) square
e) parallelogram
i~\
~9)
The best name for a quadrilateral with opposite sides congruent and the other pair of
opposite sides parallel is a
a) rectangle
b) rhombus
c) isosceles trapezoid
d) square
e) parallelogram
@ 10) Which of
a)
b)
c)
d)
e)
the following is not a property for a rhombus?
All four sides are congruent.
The diagonals are perpendicular.
The diagonals bisect the opposite angles.
The diagonals bisect each other.
The diagonals are congruent.
\~
11) Which of the following is true for an isosceles trapezoid?
a) The opposite sides are congruent .
b) Opposite sides are parallel.
c) The diagonals bisect the opposite angles.
d) The diagonals bisect each other.
e) The diagonals are congruent.
@ 12) Which of
the following is true for a kite?
a) The opposite sides are congruent.
c) The diagonals bisect the opposite angles.
e) The diagonals are perpendicular.
b) Opposite sides are parallel.
d) The diagonals bisect each other.
f) The diagonals are congruent.
(£)13) Which of the
following has both pairs of opposite angles supplementary?
a) rectangle
b) square
c) isosceles trapezoid
d) kite
e) all of the above
f) both a and b
g) a. b. and c
[014)
~15)
o
Which of the following has all pairs of consecutive angles supplementary?
a) rectangle
b) square
c) isosceles trapezoid
d) kite
e) rhombus
f) parallelogram
g) all of the above
h) All are true but d
i) a. b. e. and f are true
A diagonal will form two congruent triangles for a(n)
a) rectangle
b) kite
c) rhombus
e) parallelogram
f) all of the above
d) isosceles trapezoid
g) a. c. and e
16) The most descriptive name for the figure at the right is a(n)
a) square
d) kite
b) rectangle
e) rhombus
@ 17) The most descriptive
a) square
d) kite
1£'J18)
c) parallelogram
f) trapezoid
name for the figure at the right is a(n)
b) rectangle
e) rhombus
c) parallelogram
f) trapezoid
The most descriptive name for the figure at the right is a(n)
a) square
d) kite
b) rectangle
e) rhombus
I~19) The most descriptive
a) square
d) kite
c) parallelogram
f) trapezoid
name for the figure at the right is a(n)
b) rectangle
e) rhombus
c) parallelogram
f) trapezoid