Jan 30, 2016
#1. ST
UV
Which of the following
best describes what
SVT and TVU have in common?
[D] V, T
[A] VT [B] VT
[C] VT
A
#2. ABC
DE
FO
Which of the following is a
pair of supplementary
angles?
[A] BOF and BOA
[B] COD and DOE
[C] COF and AOF
[D] DOE and DOB
D
#3.
I
B FN J G
D M K
E Q S T U
A
C
H
Which two angles
are adjacent?
[A] BMD and KMS [B] MKT and NJ T
[C] FJ G and NJ F [D] DEQ and TIG
C
#4. Plane P contains points A, B, and C. A different
plane, plane Q, contains points B, C, and D. Which of the following
represents the intersection of P and Q?
[D] points B, C, A, and D
[B] BC
[C] BC
[A] AD B
#7.
E(3, 4, - 5)
F(- 6, 10, 0)
What are the coordinates of the midpoint of
EF?
[A] (4.5, 7, 2.5) [B] (- 1.5, 7, - 2.5)
[C] (4.5, 3, - 2.5) [D] (- 1.5, 3, - 2.5)
B
#8. What is the approximate distance between the points (-
13, 8) and(206, 196) in the xy-
plane?[A] 219 units [B] 269 units
[C] 289 units [D] 299 units
C
#9.
Tomstown (2, 3)
Mt. Lookout (78,71)
Exit 1
Exit 2
Using the map, the highway department
locates two exits between Tomstown and Mount Lookout. From Tomstown, Exit 1 is halfway to Mount Lookout, and Exit 2 is three-fourths of the
way to Mount Lookout. What are the coordinates for
Exit 2?[A] (74, 37) [B] (59, 54)
[C] (40, 37) [D] (68, 54) B
#10.In the xy-plane, (-3, 1) and
(4, 3) are endpoints of a diameter of a circle. What are the coordinates of the
center of the circle?1
[A] ( ,2)2
7[B] ( ,1)
2
[C] (1,4)7
[D] (- ,-1)2
A
#11.
(0,8)
(12, 9)
(12, 3)
(0,2)
The county planning
department designs a new
park in the shape of a
parallelogram. They put in two
diagonal walkways.
What will be the coordinates of the
intersection of the diagonal walkways?
[A] (6, 2.5) [B] (5, 6.5)
[C] (5.5, 6) [D] (6, 5.5)D
#12.
1 2
3
Given: m1 = 4 x, m 2 = (3 x + 10), and
m 3 = (2 x + 17). What is m 2?[A] 61 [B] 47
[C] 31 [D] 17 A
#13.1
A B
CD
If ABCD is a rhombus and m ABC = 80,
what is the measure of
1?
[A] 40 [B] 50
[C] 80 [D] 90
A
#14.
ABCD is a parallelogram. If
m BCD = (6 x – 20) andm DAB = (2 x + 80),
what is the value of x?[A] 8.3 [B] 12.5
[C] 15 [D] 25D
#15. M
N
O
12 in. 25
in.
28 in.
Which of the following
statements about the picture is
true?
[A] m O > m M [B] m M > m N
[C] m M < m N [D] m N < m O
B
#16.Write the following statement in “If-then” form.
“Two angles that form a linear pair are supplementary.”
[A] If two angles are supplementary, then they form a linear pair.
[B] If two angles form a linear pair, then they are supplementary.
[C] If two angles are not supplementary, then they form a linear pair.
[D] If two angles do not form a linear pair, then they are supplementary.
B
#17.What is the inverse of the statement below?
If a triangle is scalene, then no two angles are congruent.
[A] If the triangle is not scalene, then there are two congruent angles.
[B] If two angles of a triangle are congruent, then the triangle is
scalene.[C] If there are two congruent angles in a triangle, then the triangle is not
scalene.[D] If the triangle is not scalene, then there are no congruent angles. A
#18. What is the contrapositive ofthe statement below?
If a triangle is isosceles, then it has two congruent sides.
[A] If the triangle does not have two congruent sides, then it is not
isosceles.[B] If a triangle has two congruent sides,
then it is isosceles.
[C] If a triangle is isosceles, then it has two congruent sides.
[D] A triangle has two congruent sides if and only if it is isosceles.
A
#19. The conditional statement “All 45° angles are acute angles” is true.
Based on the conditional statement, which of the following
can be concluded from the additional statement “The measure
of A is 45°”?[A] A is an acute
angle.
[B] A is not an acute angle.
[C] The complement of A is not an acute angle.
[D] The supplement of A is not an acute angle.
A
#20.
If k | | m | | n,Which of the statements justifies the conclusion
that 1 2 3?
m
n
k1
2
3
t
[A] then alternate interior angles are congruent.
[B] then vertical angles are congruent.
then corresponding angles are congruent.
[D]
[C] then alternate exterior angles are congruent.
D
#21.
C
A
B D
It is given that AC AD andCAB DAB. By the reflexive property of congruent
segments, AB AB.Which reason could be used to prove
Δ ABC Δ ABD?[A] side-angle-side [B] hypotenuse-leg
[C] side-side-side [D] angle-side-angleA
#22. A BM
CDGiven: ABCD is an
isosceles trapezoid. M is the midpoint of AB.
Prove: DM CM
#22.M is the
midpoint of AB.
given
ABCD is an isosceles trap.
given
? ΔADM Δ BCM
AM MB
Def of midpoint
AD BC
Def isos.trap.
DM CM
CPCTC
#22. What is the missing statement and reason that
completes the proof?
[B] MAD MBC; the base angles of an isos. trap. are
congruent
[D] ABC DAB; if lines are parallel, s-s int.angles are
supp.
[A] AD BC; the legs of an isosceles trapezoid are
congruent.
[C] AM BM; corresponding parts of congruent triangles
are congruent
B
#23.
A
B
C
X Y
Given: Δ ABC
Prove: m BAC + m ABC + m BCA = 180
#23.1) Draw XY through B and parallel to AC.
2) XBA and ABY form a linear pair.
3) m XBA + m ABY = 180
4) m ABC + m CBY = m ABY
5) m XBA + m ABC + m CBY = 180
6) CBY BCA and XBA BAC
7) m CBY = m BCA and m XBA = m BAC
8) m BAC + m ABC + m BCA = 180
1) Exactly one parallel line can be drawn to given line from pt. not online.
2) Definition of a linear pair
3) The sum of the measures of the angles of a linear pair is 180.
4) Angle Addition Postulate
5) Substitution
6) ____________________________
7) Definition of congruent angles
8) Substitution
STATEMENTS REASONS
#23. What is the reason for statement 6 in the proof?
[A] Alternate interior angles of parallel lines are congruent.
[B] Alternate exterior angles of parallel lines are congruent.
[C] Vertical angles of parallel lines are congruent.
[D] Corresponding angles of parallel lines are congruent.
A
#24.
40°
60°
x y
What is the measure of angle y?
[A] 40
[B] 60
[C] 80
[D]100
D
#25.
A
B
CD
BD is the angle bisector of ABC. If m A = m C = 50, what is m
ABD?
[A] 30 [B] 40
[C] 45 [D] 50
B
#26. OB bisects AOC. If m AOB = (3 x + 16) and m BOC = (8 x –
14), what is m AOB?
[A] 18 [B] 26
[C] 34 [D] 48C
#27.
a
b
c
1 2
3 4
1 is supplementary to 3 under which of
the following conditions?
[A] Line a is parallel to line b.[B] Line a is parallel to line c.[C] Line a is perpendicular to
line c.[D] Line b is perpendicular to line c.
A
#28.For which type of convex polygon is the sum of the measures of the interior
angles equal to the sum of the measures of the exterior angles, one at each vertex?
[A] triangle
[B] hexagon
[C] pentagon
[D]quadrilateral
D
#29.
P
Q R
S
TU
120°
If m P = 120º, what is
the sum of the measures of
the remaining interior angles?
[A] 240
[B] 360
[C] 600
[D] 720
C
#30.
The measure of each exterior angle of a regular polygon is 45. How many
sides does the polygon have?
[A] 4 [B] 5
[C] 8 [D] 9C
#36.An isosceles triangle has vertices at (1,1) and (3, 3). Which of the following could be the coordinates of
the third vertex?
[A] (2, 1)
[B] (3, 2)
[C] (4, 1)
[D] (5, 1)
D
#37. Triangle MNO has vertices with
coordinates M (0, 2), N (1, 0), and O (5, 1). What type of triangle is
Δ MNO?[B] right
[C] scalene
[A] isosceles
[D] equilateral
C
#38. In triangle XYZ, W is between Y and Z.
The coordinates are X (2, 3),
Y (5, 0), Z (0, 0), and W (2, 0). What is
XW?[A] altitu
de[C] median
[D]perpendicular bisector of the
side
[B] angle bisector
A
#39. What is the most specific name for
quadrilateral ABCD with vertices A (0, 0), B (3, 4), C (6, 0), and
D (3, - 4)?[A]parallelogra
m[C] rhombu
s[D] trapezoi
d
[B] rectangle
C
#40.In rectangle ABCD,
diagonal AC = (3 x – 9) and
diagonal BD = (x + 13). What is
AC?[A] 16
[B]18
[C] 24
[D] 32
C
#41.In parallelogram RSTU,
the diagonals intersect at E.
If RE = 10 and SU = 16, what is RT?
[A] 20
[B] 16
[C] 10
[D] 8A
#42.
A
B C
If points A, B, C, and D form a trapezoid, how many
ordered pairs could
represent D?[A] 1 [B]2
[C]3 [D] an infinite number
D
#43. A B
CD
E F
x - 5
2x - 1
12
13
15
ABCD is a trapezoid with median EF. What is the
length of AB?
[A] 5 units
[B] 7 units
[C] 9 units
[D] 10 units
A
#45.If the sides of a triangle are 3, 7, and x, which
of the following best describes x?
[A] 4 < x < 10
[B] 4 ≤ x ≤ 10
[C] x < 10
[D] x > 4
A
#46.
A B
C
X Y
In Δ ABC, X is the midpoint of AC and Y is the midpoint of BC. If m
C = 67 and m A = 72, what is m
CYX?
[A] 36[B] 41[C] 67[D] 72
B
#48.
A triangle has interior angles that measure 3 x,(2 x + 15), and (x + 45). What is the measure of
the largest exterior angle?
[A] 160 [B] 125
[C] 120 [D] 115B
#49.
A
B
C
Y
Z
In Δ ABC, Z is the midpoint of AC and Y is
the midpoint of BC. If YZ =
21 and AB = (2 x – 4),
what is x?[A] 7.25 [B] 12.5
[C] 23 [D] 46 C
#69. Given points P (7, 5), Q (8, 3), R (0, - 1), and
(- 1, 1), which of the following is true?
[A] PQ is parallel to RS.[B] PQ is perpendicular to RS.
[C] PR is perpendicular to QS.[D] PR is parallel to QS.
A
#70.Which is an equation of a line parallel to:
2 1- x+ y=43 5
[A] -10x + 3y = 6
[B] -3x + 10y = 6
[C] 3x - 10y = -6
[D] 10x + 3y = -6
A
#71. What is the slope of the line that is
perpendicular to the line whose equation
is:3 x- 2 y = - 83
[A] 2
2[B]
3
2[C] -
3
3[D] -
2
C
#72. ABCD is a rhombus. The slope of AB is
3/8. What is the slope of DC?
8[A]
33
[B] 8
3[C] -
8
8[D] -
3
B
#73.Which of the following is an equation of the line
perpendicular to:
3x+6y=12 at (4,0)?1
[A] y = - x+22
1[B] y = x-2
2
[C] y = -2x+8 [D] y = 2x-8
D
#74.
P
k
Line k contains point P and the origin. Which is an
equation of the line that is
perpendicular to line k and
passes through point P?1
[A] y = - x3
1[B] y = x+2
3
[C] y = -3x-8 [D] y = 3x+10
D