Download SOLs G

Chapters 1-6 Review
Complete the following problems showing all your work. Then, circle the best answer choice.
1.
2.
Consider the following statements:
p: The sum of two angles is 90o .
q: The two angles are complements.
Which of the following is a symbolic
representation of the statement:
If two angles are not complements, then
the sum of the two angles is not 90o?
Based strictly on this diagram, which
is a valid conclusion?
A
B
C
D
A
B
C
D
~ q ~ p _
~ p ~ q
q p
p q
3.
Triangle A’B’C’ is apparently —
A a translation of triangle ABC across the x-axis
B a 90o clockwise rotation of triangle ABC about the
origin _
C a reflection of triangle ABC across the y-axis
D a reflection of triangle ABC across the x-axis
No cat owners also own dogs.
No dog owners also own fish. _
No fish owners also own cats.
No pet owner owns more than one pet.
4.
This figure is apparently symmetric with respect to —
A the x-axis only
B the y-axis only _
C both the x-axis and the y-axis
D neither the x-axis nor the y-axis
5.
6.
The distance between the points
(- 2, - 4) and (3, 8) is —
A 27
B 13 _
C 17
D 169
According to the Venn diagram, which statement is
true?
7.
8.
A All isosceles triangles are also equilateral
triangles.
B All equilateral triangles are also isosceles
triangles. _
C Some equilateral triangles are also isosceles
triangles.
D No isosceles triangles are equilateral triangles.
How many different lines of symmetry does a square
have?
A
B
C
D
Triangle A’B’C’ is —
A a translation of triangle ABC across the y-axis _
B a 90o clockwise rotation of triangle ABC about the
origin
C a reflection of triangle ABC across the y-axis
D a reflection of triangle ABC across the x-axis
1
2
3
4
9.
Which is the contrapositive of the statement,
“If I am in Richmond, then I am in Virginia”?
A If I am in Virginia, then I am in Richmond.
B If I am not in Richmond, then I am not in Virginia.
C If I am not in Virginia, then I am not in Richmond.
D If I am not in Virginia, then I am in Richmond.
10.
11.
136o
A plumber bent a flexible joint into a
angle, as
shown. He then attached another pipe so that A, B,
and D lay on a straight line.
A
B
C
D
36
44
46
224
In the figure, line t is a transversal for lines l and m.
Which of the following best describes the relationship
between <1 and <2?
A Alternate interior angles
B Consecutive interior angles_
C Corresponding angles
D Alternate exterior angles
12.
Which value for x will make a parallel to b?
A 5
B 15
C 20
D 35
13.
14.
Which statement would be sufficient to prove that line
l is parallel to line m?
A AC  m
B AB  l __
C AC  l
D AB  AC
Which condition will guarantee that line l is parallel to
line m?
A <1  <3
B <1  <6
C <6  <5
D <3  <5 _
15.
16.
Line l intersects lines w, x, y, and z, forming angles
with measures as indicated on the drawing.
Angle 1 is a complement of angle 2. If
m<1 = (14x + 8)
and
m<2 = (8x - 6),
what is the value of x and of m<1?
A x = 4, m<1 = 26º
B x = 4, m<1 = 64º _
C x = 113.3, m<1 = 121.3º
D x = 113.3, m<1 = 58.7º
Which two lines are parallel?
A w and x
B x and z
C y and z
D w and y
17.
18.
Given: AD  AC and AB  AE
Given: <R  <U.
Which proportion is true?
Which could be used to prove ADB  ACE?
A
B
A
B
C
D
C
D
SSS
SAS
ASA
AAS
19.
20.
Given: LMQ ~ LNP. Therefore —
A
C
From smallest to largest, the angles of PQR are —
B
D
21.
A
B
C
D
R, <Q, <P _
<R, <P, <Q
Q, <R, <P
<P, <R, <Q
22.
Given: AD and BC intersect at X
AX = XB
CX = XD
The locations of three water pumping stations form a
triangle on a map of the area. The distance from
station A to station B is 650 meters. The distance
from station B to station C is 558 meters. The
distance from station A to station C is —
A less than 92 m
B exactly 92 m
C between 92 m and 1,208 m
D greater than 1,208 m
Which congruency statement is true?
A ACX  <BXD
B <ACX  <DXB
C <ACX  <BDX _
D <ACX  <DBX
23.
24.
Which list could not be the measures of lengths of
the three sides of a given triangle?
A
B
C
D
5 cm, 12 cm, 15 cm
2 ft, 6 ft, 5 ft
11 mi, 4 mi, 12 mi
12 yd, 35 yd, 20 yd
In the drawing of triangle XYZ, which angle has the
least measure?
A All angles have the same measure.
B XYZ
C ZXY
D XZY
25.
26.
If m<A =65º, m<B=15 º, m<C=100 º, which lists the
On a map, Tannersville, Chadwick, and Barkersville
sides of the triangle in order from shortest to longest? form a triangle. Chadwick is 70 miles from
Tannersville and Barkersville is 90 miles from
Tannersville. Which is a possible distance between
Chadwick and Barkersville?
A AC, AB, BC
B BA, BC, AC
A 5 miles
C BA, AC, BC
B 10 miles _
D AC, BC, BA
C 150 miles
D 200 miles
27.
28.
Triangles ABC and EFG are similar with
measurements in centimeters as shown.
From shortest to longest, the sides of ABC are —
A AC, BC, AB
B AB, BC, AC
C BC, AC, AB
D AB, AC, BC
What is the perimeter of triangle EFG?
A 21 cm
B 24 cm
C 36 cm
D 42 cm