GEO Unit 3 Review
Date:
Name:
1.
In the accompanying gure, what is one pair of
alternate interior angles?
3.
In the accompanying diagram, line ` is parallel to
line m, and line t is a transversal.
Which must be a true statement?
A.
O1 and O2
B.
O4 and O5
C.
O4 and O6
D. O6 and O8
4.
2.
29
B.
31
C.
59
mO1 + mO4 = 180
B.
C.
mO3 + mO6 = 180
D. mO2 + mO5 = 180
D. 61
page 1
mO1 + mO8 = 180
In the accompanying diagram of isosceles
triangle ABC, AB = BC, mOBAC = x, and
mOABC = x + 30.
What is the value of x ?
In ^ABC, mOA = x, mOB = 2x + 2, and
mOC = 3x + 4. What is the value of x?
A.
A.
A.
80
B.
75
C.
50
D. 30
5.
7.
In the diagram below, ^ ABC is shown with AC
extended through point D.
In the accompanying diagram, OACD is an
exterior angle of ^ABC, mOA = 3x, mOACD = 5x,
and mOB = 50. What is the value of x ?
A.
25
B.
30
C.
60
D. 100
If mOBCD = 6x + 2, mOBAC = 3x + 15, and
mOABC = 2x 1, what is the value of x?
A.
12
B.
14 10
11
C.
16
D. 18 19
8.
Two angles of a triangle have measures of 55 and
65 . Which could not be a measure of an exterior
angle of the triangle?
A.
6.
115
B.
120
C.
125
D. 130
What is the measure of the largest angle in the
accompanying triangle?
9.
A.
41
B.
46.5
C.
56
D. 83
Two angles of a triangle measure 72 and 46 .
What is the measure of an exterior angle of this
triangle?
A.
page 2
46
B.
62
C.
108
D. 144
GEO Unit 3 Review
10.
In the accompanying diagram of ^ ABC, side BC
is extended to D, mOB = 2y, mOBCA = 6y, and
mOACD = 3y. What is mOA ?
A.
15
B.
C.
20
D. 24
13.
!
!
!
Transversal EF intersects AB and CD, as shown in
the diagram below.
17
Which statement could always be used to prove
!
!
AB k CD?
11.
In the diagram shown, AB k CD, mOx = 68, and
mOy = 117. What is mOz ?
A.
131
B.
C.
112
D. 49
O2 = O4
B.
O7 = O8
C.
O3 and O6 are supplementary
D. O1 and O5 are supplementary
117
14.
12.
A.
In ^ ABC, if an exterior angle drawn at vertex C
measures 45, then angle B
A.
must be an acute angle
B.
must be a right angle
C.
must be an obtuse angle
!
In the accompanying diagram, parallel lines AB
!
!
and CD are intersected by transversal EF at
points G and H, respectively. If the measure of
angle EGB is 3x and the measure of angle CHF
is 84, nd the value of x.
D. may be either an obtuse angle or an acute
angle
page 3
GEO Unit 3 Review
15.
16.
!
In the accompanying diagram, parallel lines AB and
!
!
CD are intersected by EF at G and H, respectively.
If mOAGH = 5x and mOCHG = x + 12, nd the
value of x.
17.
In the accompanying diagram, parallel lines
!
!
!
AB and CD are cut by transversal GH at E
and F, respectively. If mOGEB = (2x 30) and
mOEFD = (x + 15), nd the value of x.
18.
!
!
In the accompanying diagram, AB k CD. If
mO1 = 4x 10 and mO2 = 2x 20, nd x.
19.
!
In the accompanying diagram, AB is a parallel to
!
CD, mOBAC = 46, and mOBCD = 65. Find the
measure of O ACB.
!
In the accompanying diagram, parallel lines AB
!
!
and CD are intersected by transversal EF at G
and H, respectively. If mOAGH = 4x + 30 and
mOGHD = 7x 9, what is the value of x ?
page 4
GEO Unit 3 Review
20.
21.
22.
!
!
In the accompanying gure, EGF intersects AB and
!
!
!
CD, and AG is drawn. If AB k CD, mOFED = x,
mOGAF = 2x, and mOFGA = 3x, nd x.
23.
In ^ABC, OB is congruent to OC. The measure
of O B is 20 more than twice the measure of OA.
Find the measure of each angle in ^ABC. [Only
an algebraic solution will be accepted.]
24.
In the accompanying diagram, mOA = 2x 30,
mOB = x, and mOC = x + 10. Find the number of
degrees in O B.
25.
In ^ABC, the measure of OB is twice the
measure of OA. If the measure of OA is
subtracted from the measure of OC, the di erence
is 20. Find the measure of the smallest angle of
the triangle. [Show or explain the procedure used
to obtain your answer.]
26.
In ^ABC shown, mOB = 55 and an exterior angle
at C measures 105 . What is mOA?
In the accompanying diagram, ABC k DE,
mOFDE = 25, mO DFE = 130, and mOABD = x.
What is the value of x ?
!
!
Lines AB and CD intersect at E, mOAED = 110,
mODEB = 3x + 2y, mO BEC = 9x + y, and
mOCEA = 70. Find the values of x and y. Check
your answer. [Only an algebraic solution will be
accepted.]
page 5
GEO Unit 3 Review
27.
28.
In the accompanying diagram of ^ABC, side
AB is extended to D. If mOACB = x + 30,
mOCAB = 2x + 10, and mOCBD = 4x + 30, what
is the value of x ?
If ^JSO is an equilateral triangle,
measure of an exterior angle at S.
29.
In ^ABC, mOA is three times mOB. An exterior
angle at vertex C measures 100 . What is mOB ?
30.
In the accompanying diagram of ^ ABC, AB is
extended through B to D. If mOCBD = 3x + 20,
mOA = x, and mOACB = x + 60, nd x.
nd the
page 6
GEO Unit 3 Review
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GEO Unit 3 Review
11/02/2015
1.
Answer:
B
21.
Answer:
65
2.
Answer:
A
22.
Answer:
x = 10, y = 20
3.
Answer:
D
23.
Answer:
28, 76, 76
4.
Answer:
C
5.
Answer:
24.
Answer:
50
A
6.
Answer:
25.
Answer:
40
D
7.
Answer:
26.
Answer:
50
A
8.
Answer:
27.
Answer:
10
D
9.
Answer:
28.
Answer:
120
C
10.
Answer:
29.
Answer:
25
C
11.
Answer:
30.
Answer:
40
A
12.
Answer:
A
13.
Answer:
C
14.
Answer:
28
15.
Answer:
28
16.
Answer:
13
17.
Answer:
45
18.
Answer:
35
19.
Answer:
69
20.
Answer:
30