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Geometry Test Chapter 3A Practice Test Ver. I
Multiple Choice
Identifu the choice that best completesthe statementor answers the question.
1. Which anglesare coresponding angles?
3. Line r is parallel to line /. Find ml5.The diagram
is not to scale.
a
b
a.
b.
c.
d.
lSand216
lTandlS
l4and Z8
noneofthese
2 . Whichstatement
is true?
a. 45
b. 3s
c. 135
d. 145
4 . Find the valueof the variableif m ll l,
mLl:?x +44 andmZS:5x + 38.ThediagramI S
not to scale.
angles.
a. ZCBA andIEBH aresame-side
angles.
IEBH
ZBED
are
same-side
b.
and
c. ZCBA andZHBE arealternateinteriorangles.
d. IEBH andIBED arealternateinteriorangles.
a,
b.
c.
d.
I
2
a
J
-2
5 . Find the values ofr and y. The diagramis no.t
scale.
-9.-mich-liles;r@,
cany@
giventhat mll + m/2 = 180?Justiflzyour
conclusionwith a theoremor postulate.
74"
a. x=77,y--59
o. x= ll.v:)/
c. x:57,"y:77
d . x = 4 7 , y =5 7
6 . Completethe statement.
If a transversalintersects
two parallellines,then_.
a. corresponding
anglesare supplementary
b. same-side
interioranglesarecomplementary
c. altemateinterioranglesarecongruent
d. noneofthese
Completethe statement.
If a transversalintersects
two parallellines,then_
anglesare
supplementary.
a. acute
b. alternate
interior
c. same-side
interior
d. conesponding
a. j ll k, by the Converse
of the Same-Side
InteriorAnglesTheorem
b. j ll k, by theConverse
of theAlternateInterior
AnglesTheorem
c. g ll h, by theConverse
of theAlternate
InteriorAnglesTheorem
d. g ll h, by the Converse
of theSame-Side
InteriorAnglesTheorem
1 0 . mZl = 6r andml3 = 120.Findthevalueof x forp
to be parallelto q. Thediagramis notto scale.
8 . FindmlQ. Thediagramis not to scale.
a.
b.
c.
d.
a.
b.
c.
d.
60
t20
110
70
114
126
120
20
11. lf c Lb ud"
ll c,whatism2?
a. 90
b. 106
c. 74
d. not enoughinformation
12. Find thevalueof fr.The diagramis not to scale.
14. Classi$the triangleby its sides.The diagramis
not to scale.
a.
b.
c.
d.
straight
scalene
isosceles
equilateral
1 5 . ClassifuMBC by its angles,whenmlA :32,
m l B : 8 5 , a n dm Z C : 6 3 .
a. right
b. straight
c. obtuse
d. acute
1 6 . Find the valueof x. The diagramis not to scale.
a. l7
b. 73
c. 118
d. r07
1 3 . Find thevaluesof x, y, andz. The diagramis not to
scale.
a.
55
b. 162
c. 147
d. 75
t 7 . Find the valueof the variable.The diagramis not
to scale.
A.
b.
c.
d.
. r = 8 6 y, = 9 4 , 2 = 6 7
x=67,!=86,2=94
x=670!=94,2=86
x=86,y=6'l,z=94
a.
b.
c.
d.
66
r9
29
43
'l
18. Find the value of .r. The diaeram is not to scale.
Given: ISRT = ISTR. nZSRT = 20. mZSW = 4x
1 9 . Which figure is a convex polygon?
a
{--]|
I
t
I
t
R
a . 5
b. 24
c. 20
d. 40
d.
20. Classifu
thepolygonby itssides.
a.
b.
c.
d.
triangle
hexagon
pentagon
octagon
2 1 . The chips usod in tfie boild gme MailhFuries have
the shapeofhexagons. How many sides does each
MathFuries chip have?
a . 5
b . 6
c . 8
d. 10
22. Find the sum of the measuresof the angles of the
figure.
25. The sum ofthe measuresof two exterior angles of
a triangle is 255. What is the measureof the third
exterior angle?
a. 75
b. lls
c. 105
d. 9s
26. The PolygonAngle-SumTheoremstates:The sum
of the measures
of the anglesof an n-gonis _.
n-2
a'
r8o
b. (tz- l)180
180
c'
,J
d. (n - 2)180
27. Completethis statement.The sumof the measures
a.
b.
c.
d.
540
180
360
900
23. How manysidesdoesa regularpolygonhaveif
eachexterioranglemeasures
20?
a. l7 sides
b. 20 sides
c. 2l sides
d. l8 sides
24. Findthemissinganglemeasures.
Thediagramis
not to scale.
a.
b.
c.
d.
ofthe exterioranglesofan n.gon,oneat each
vertex,is _.
a . ( n- 2 ) 1 8 0
b. 360
(n - 2)180
c.
n
l80z
d.
28. Completethis statement.
A polygonwhosesidesall
havethe samelensthis saidto be
a. regular
b. equilateral
c. equiangular
d. convex
x= 124,y:125
x= 56,y: ll4
. x =1 1 4 , y = 5 6
x= 56,y= 124
)
29. Find m/.A. The diaeramis not to scale-
a.
107
b. tt7
c. 63
d. 13
3 0 . A nonregular
hexagonhasfive exteriorangle
measures
of 55,60, 69,57, and5l . Whatis the
measure
of the interiorangleadjacentto the sixth
exteriorangle?
a. 128
b. It8
c. 62
d. t08
Geometry Test Chapter 3A Practice Test Ver. I
Answer Section
MULTIPLE CHOICE
of ParallelLines
REF: 3-1Properties
DIF: L2
PTS: I
1. ANS: A
7.0
GEOM
4.01
CA
GEOM
2.01
CA
GEOM
CA
STA:
OBJ: 3-1.1IdentifiingAngles
lines
parallel
anglesltransversal
KEY: corresponding
I
TOP: 3-l Example1
of Parallellines
Properties
REF:
3-l
L2
DIF:
PTS: 1
2. ANS: D
7.0
4.0lCA
GEOM
GEOM
2.0lCA
GEOM
STA: CA
OBJ: 3-1.1IdentiflingAngles
angles
interior
interioranglesI alternate
KEY: same-side
TOP: 3-l ExampleI
of ParallelLines
REF: 3-l Properties
L2
DIF:
PTS: 1
3. ANS: c
7'0
GEOM
4.01
CA
CA
GEOM
2.01
of ParallelLines STA: CA GEOM
OBJ: 3-1.2Properties
angles
interior
KEY: parallellinesI alternate
TOP: 3-l Example4
of ParallelLines
REF: 3-1Properties
DIF: L2
PTS: 1
4, ANS: B
7'0
GEOM
4.01
CA
GEOM
2.0lCA
of ParallelLines STA: CA GEOM
OBJ: 3-1.2Properties
anglesI parallellinesI
KEY: corresponding
TOP: 3-1 Example5
of ParallelLines
REF: 3-1 Properties
DIF: L2
PTS: 1
5. ANS: B
7'0
GEOM
of ParallelLines STA: CA GEOM2'01CA GEOM4.01CA
OBJ: 3-1.2Properties
anglesI parallellines
KEY: corresponding
TOP: 3-l Exampte5
of ParallelLines
REF: 3-l Properties
DIF: L2
PTS: I
6, ANS: c
7'0
GEOM
CA GEOM4.0lCA
of ParallelLines STA: CA GEOM2.01
OBJ: 3-1.2Properties
KEY: transversal
I parallellines
of ParallelLines
REF: 3-l Properties
DIF: L2
PTS: 1
7. ANS: c
7'0
GEOM
of ParallelLines STA: CA GEOM2.01CA GEOM4.01CA
OBJ: 3-1.2Properties
angles
KEY: transversal
I parallellinesI supplementary
of ParallelLines
REF: 3-1 Properties
DIF: L3
PTS: 1
8. ANS: A
of ParallelLines STA: CA GEOM2.01CA GEOM4'01CA GEOM7'0
OBJ: 3-1.2Properties
KEY: angleI parallellinesI transversal
REF: 3-2 ProvingLinesParallel
DIF: L2
PTS: 1
9, ANS: A
sTA: CA GEOM2.01CA GEOM4.01CA GEOM7.0
OBJ: 3-2.1Usinga Transversal
KEY: parallellineslreasoning
TOP: 3-2Example1
Lines
pTS: 1
REF: 3-3 ParallelandPerpendicular
DIF: L2
IO. ANS: D
STA: CA GEOM 7.0
Lines
OBJ: 3-3.1RelatingParallelandPerpendicular
KEY: Parallellines
TOP: 3-3Example2
Lines
pTS:
REF: 3-3 ParallelandPerpendicular
L3
DIF:
1
1 1 . A N S :A
7.0
CA
GEOM
STA:
Lines
OBJ: 3-3.1RelatingParallelandPerpendicular
linesI transversal
KEY: parallellinesI perpendicular
TOP: 3-3Example2
DIF: L2
PTS: 1
12. ANS: B
REF: 3-4ParallelLinesandthe TriangleAngle-SumTheorem
CA GEOM13'0
STA: CA GEOM 12'01
in triangles
OBJ: 3-4.1FindingAngleMeasures
KEY: triangleI sumof anglesof a triangle
TOP: 3-4Example1
DIF: L2
PTS: 1
13. ANS: D
Theorem
Angle-Sum
Triangle
the
and
Lines
REF: 3-4Parallel
cA GEOMl3'0
STA: CA GEOM 12.01
triangles
in
OBJ: 3-4.1FindingAngteMeasures
of
atriangle
angles
of
sum
KEY: triangleI
TOP: 3-4 ExampleI
DIF: L2
PTS: 1
D
JJ
AI\D:
14. ANS:
Angle-Sum Theorem
REF: 3-4 Parallel Lines and the Triangle i^-^roo
in Triangles
OBJ: 3-4'1 Finding Angle Measures
l??, ffir:il,*i;
13'0
STA: CA GEOM 12'0lCA GEOM
triangle
I equilateral
I isosceles
triangles
I scalene
triangre
I classiffing
DIF: L2
PTS: 1
15. ANS: D
Angle-SumTheorem
REF: 3-4ParallelLinesandthe Triangle
STA: CA GEOM 12'0lCAGEOM13'0
triangles
ii
Measures
Angle
Finding
OBJ: 3-4'1
2
TOP: 3-4 ExamPle
triangle
right triangleI obtusetriangleI acute
KEY: triangleI classiffingtrianglesI
r6.
orrriangles
Angles
Exterior
Using
oBr: 3-4.2
rriangle
parauel
,,,iJt*ohe
tili: idl!-r,i'l,fheorem
3
ToP: 3-4Example
STA: cA GEoM li.of ce GEoM l3:0
triangle
KEY: triangle I sum of anglesof a
DIF: L3
PTS: 1
17. ANS: B
Angle-SumTheorem
REF: 3-4 ParallelLines and the Triangle
OBJ:3-4.lFindingAngleMeasuresliflangtesSTA:CAGEOM12'0lCAGEOMl3'0
triangle I vertical angles
KEY: triangl" l;;; of a:nglesof a
r8.
tp
orrriangles
Angles
Exterior
Using
^ilil,r#.rT:** oBr: 3-4.2
,-'iJt""olerriangle
?.-Jurr,",
KEY: exteriorangle
13'0
STA: CA GEOM f Z OLCAGEOM
1 9 . A N S : D P T S : 1 D I F : L 2 R E F : 3 . 5 T h e P o l y g o n A n g l e - S u m T h e o r e m s
OBJ:3-5.lClassifiingPolygonsSTA
:CAGEOM12'0lCAGEOMl3'0
KEY: polygonlconvex
TOP: 3-5 Example2
2 0 . A N S : B P T S : 1 D I F : L 2 R E F :CAGEOM
3 - 5 T h12'0ICAGEOM
e P o l y g o l3'0
n A n g | e - S u m T h e o r e m
STA:
OBJ: 3-5.1ClassiffingPolygons
TOP:3-5Example2KEY:classif,ingpolygons
2 | , A N S : B P T S : I D I F : L 2 n n n ' 3CA
- 5GEOM
T h e12'0lCA
P o l yGEOM
g o n13'0
A n g l e - S u m T h e o r e m s
STA:
Polygons
OBJ: 3-5.1Classiflring
Theorems
PolYgons
KEY: classifuing
REF: 3-5The PolygonAngle-Sum
DIF: LZ
I
PTS:
B
22. ANS:
GEoM13'o
aTA, cA GEoM12.olcA
AngleSums
OBJ: 3-5.2PolYgon
KEY: sumof anglesof a PolYgon
Theorems
TOP: 3-5 ExamPle3
REF: 3-5The PolYgonAngle-Sum
DIF: L2
I
PTS:
23. ANS: D
GEoM13'o
cA GEoM12'olcA
ifn'
5lA:
AngleSums
OBJ: 3-5.2PolYgon
KEY sumof anglesof a PolYgon
KEY:
3
TOP: 3-5ExamPle
ThePolygonAngle-SumTheorems
3-51
nf,f : 3-5
REF:
DIF: LZ
1
PTS:
24. ANS: C
cA GEOM.13'0
;i;, cA GEoM12'01
OBJ: 3-5.2PolYgonAngleSums
Angle-SumTheorem
Polygon
angle
I
;;"tior
KEY
dt,
4
Theorems
ExamPle
3-5
Angle
TOP:
The PolygonAngle-Sum
3-s]!..1o]Ygon
REF: 3-5
REF:DrF: Lz
I
PTS:
25, ANS: C
GEOM12'0lcAGEOMl3'0
cA vlv
;i;,
) I n ' \'^
OBJ: 3-5.2PolygonAngle Sums
Polygon Angle-SumTheorem
KEY: anglettri"igft f titerior angle i
2 6 . A N S : D P T S : I D I F : L Z R E F : 3 cA
- 5 GEOM
T h e 12'0lcA
P o l ; gGEOM
o n A 13'0
n g l e - S u m T h e o r e m s
Anglesums
oBJ: 3-5.2Polv'gon
zi
ii'::
:::ff:r:::'
Angle Sums
^'Xt*g:ar-**t"t"
ruu.vu
"ry^i{;
(rDJ:
3-5.2 Polygon
OBJ: J-J'z
ire'
rheorems
Angre.sum
gon
cEoM,2
vn vlvrv-r
"-: m; ;'J#',::Jl
3il,
) I r-\' Ll
Theorems
----- The PolygonAngle-sum
3.5
R,EF.
KEY: PolygonExtenorAng!qirD-r"--"^Om,
Lz
13'0
PTS: I
28. ANS: B
cn GEOM 12'0lcA GEOM
lin'
sums
oBJ: 3-5.2PolygonAngle
Theorems
potygoosI equilaterat
3-5 The porygonAngle-Sum
*r:
KEy: polyg* ruil.riili.g
zs i;;r"r-" nn il
aHil
0
13
cAGEoM
12o
3i1,L'o.ouo'
otT^r^1--"
rheorems
oraneles
sum
Angle-sum
REF:3-5rhepolvgon
,r. :1,i, Lffi;1il"''ff';*b
AngleSums
'
oBJ: 3-5'2Polvgon
i fngl" ! exteriorangle
hexagon
KEY:
;iA:
CA GEoM 12'0lcA GEOM
13'0