Download 1 In the figure to the right, segment AB and segment CD

1
In the figure to the right, segment AB and segment CD
are parallel. What is angle x in terms of the measure of
angle y and angle z?
a. y + z
b. 2y + a
c. 2y - z
d. 180 – y - z
e. 180 + y - z
2
If line l is the perpendicular bisector of the line segment with endpoints (2,0) and (0,-2), what is
the slope of line l?
a. 2
b. 1
c. 0
d. -1
e. -2
3
Rectangle ABCD is inscribed in the circle shown above. If the length of
side AB 5 is and the length of side BC is 12, what is the area of the shaded
region?
a. 40.8
b. 53.1
c. 72.7
d. 78.5
e. 81.7
4
In the xy-coordinate plane above, line l contains the points (0,0) and (1,2).
If line m (not shown) contains the point (0,0) and is perpendicular to l, what
is an equation of m?
a. y = -(1/2)x
b. y = -(1/2)x + 1
c. y = -x
d. y = -x + 2
e. y = -2x
5
If two sides of the triangle above have lengths 5 and 6, the
perimeter of the triangle could be which of the following?
I. 11
II. 15
III. 24
a. I only
b. II only
c. III only
d. II and III only
e. I, II, and III
6 In the figure shown, side segment AC of triangle ABC lies on line l.
What is the value of y?
a. 22
b
24
c. 25
d. 30
e. It cannot be determined from the information given.
7 In the figure shown, line segment OP is a radius of the circle, line
segment PX is tangent to the circle at point P, and the area of triangle
OPX is 12. What is the area of the circle?
a. 6 pi
b. 12 pi
c. 16 pi
d. 18 pi
e. 24 pi
8 Which of the following could be a value of x, in the diagram
shown?
a. 10
b. 20
c. 40
d. 50
e. Any of the above
9 A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1.
Which of the following could be the length of the other side?
a. 1
b. 4
c. 6
d. 8
e. 10
10 ABCD is a parallelogram. BD = 2. The angles of triangle
BCD are all equal. What is the perimeter of the parallelogram?
a. 12
b. 9√3
c. 9
d. 8
e. 3√3
11 BCD is a line segment and Angle BAC = ¼ Angle ACB ;
Angle ACD = ?
a. 140
b. 100
c. 120
d. 60
e. It cannot be determined from the information given.
12 In the figure below, what is the slope of line l ?
a. - 3
b. - 1/3
c. 0
d. 1/3
e. 3
13 The slope of the line passing through the point (5,5) is 5/6. All
of the following points could be on the line except
a. (2.5, 2)
b. (11, 10)
c. (8, 7.5)
d. (-1, 0)
e. (-7, -5)
14 At what point does the graph of 5x + 4y = 12 intersect the y-axis?
a. (0, 3)
b. (0, -3)
c. (3, 0)
d. (5, 0)
e. (0, -5)
15 ASB is a quarter circle. PQRS is a rectangle with sides PQ = 8 and
PS = 6. What is the length of the arc AQB ?
a. 5π
b. 10π
c. 25
d. 14
e. 28
16 If the length of the side of a square is multiplied by 2, then
a. the perimeter is multiplied by 2 and the area by 4.
b. the perimeter is multiplied by 4 and the area by 4.
c. both the perimeter and the area are multiplied by 2.
d. both the perimeter and the area are multiplied by 4.
17 Concentric circles have the same
a.
b.
c.
d.
circumference
center
radius
diameter
18 A circle has radius 16. An angle based at the center of the circle measures 88 degrees. Find the
measure of the minor arc on the circles circumference that is subtended by the angle. To nearest tenth.
a. 12.3
b. 7.8
c. 24.6
d. 1.9
19 What is the measurement of the angle formed by the hands of a clock at 8 o'clock?
a. 45
b. 90
c. 180
d. 240
Questions 20 through 24 refer to this figure. KJ and RS are parallel. MN is a transversal.
20
If <2 = 40 degrees, what is the measure of <7?
a. 60 degrees
b. 140 degrees
c. 40 degrees
d. cannot be determined
21
If
a.
b.
c.
d.
22
Referring to the image, which of the following pairs of angles are alternate interior angles?
a. <1 and <2
b. <3 and <5
c. <6 and <8
d. <4 and <5
23
Referring to the image, which pair of angles are corresponding angles?
a. <1 and <8
b. <4 and <6
c. <3 and <4
d. <2 and <6
24
Referring to the image, which pair of angles are alternate exterior angles?
a. <1 and <5
b. <7 and <3
c. <4 and <8
d. <6 and <1
If one of the angles of a triangle measures 90 o, the triangle is called a(n)
25
<4 = 50 degrees, what is the measure of <6?
50 degrees
90 degrees
130 degrees
cannot be determined
a.
b.
c.
d.
obtuse triangle
right triangle
acute triangle
vertical triangle
26
If all of the angles of a triangle measure less than 90 degrees, the triangle is called a(n)
a. equiangular triangle
b. right triangle
c. obtuse triangle
d. acute triangle
27
If each side of a triangle has a different measurement than the other two sides of the triangle, that
triangle is called a(n)
a. equilateral triangle
b. scalene triangle
c. isoscles triangle
d. equilateral triangle
From the figure at the right
28
Measure of angle d = _______
29
Measure of angle f = _______
30
Measure of angle g = _______
31
What is the measure of angle 1 in this figure?
a. 105°
b. 55°
c. 80°
d. 100°
32
What is the value of x in this figure?
a. 135°
b. 90°
c. 45°
d. Not enough information.
33
A convex polygon consists of 8 sides. What is the sum of the interior angles of this figure?
a. 900°
b. 1080°
c. 1260°
d. 360°
For the same 8 sides convex polygon, what is the sum of its exterior angles?
a. 180°
b. 360°
c. 540°
d. 1080°
34
The measures of the exterior angles on the figure to
the right are as follows:
m= 5x+8
n= 4x+3
p= 2x+5
s= 3x
t= 6x+4
Find the measure of each of the interior angles.
35
a=_______
36
b=_______
37
c=_______
38
d=_______
39
e=_______
40
All of the following are properties of a kite EXCEPT
a. The diagonals are perpendicular to each other.
b. The diagonals are angle bisectors.
c. Joining the midpoint of each side produces a rectangle inside the kite.
d. The interior angles of a kite equal 420°.
Match the quadrilateral with the specific properties.
41
_____ Kite
a. A quadrilateral with one pair of parallel sides.
42
_____ Parallelogram
b. A quadrilateral with opposite sides are parallel.
43
_____ Trapezoid
c. A trapezoid that contains a 90° angle.
44
_____ Isosceles Trapezoid
d. A trapezoid with congruent legs.
45
_____ Right Trapezoid
e. A quadrilateral with 2 pair of adjacent congruent sides.
46
A trapezoid had bases that measure 42 and 28. A line connects the midpoints of the legs of the
trapezoid. What is the measure of the line that connects the midpoints of the legs?
a. 21
b. 14
c. 35
d. Not enough information to determine.
47
The following are properties of a parallelogram EXCEPT:
a. Opposite angles are congruent.
b. Diagonals bisect each other.
c. Each diagonal divides the parallelogram into two congruent triangles.
d. Adjacent angles are complimentary.
48
In the figure, all are true EXCEPT:
a. AD = CB
b. ACD = ADB
c. DE = BE
d. <ADC + <DCB = 180°
49
All the following can be used to prove that two triangles are congruent triangles EXCEPT:
a. Side-Angle-Side
b. Angle-Angle-Side
c. Angle-Side-Angle
d. Angle-Angle-Angle
50
What is a polygon called if the sum of the interior angles measure 1440°?
a. hexagon
b. octagon
c. decagon
d. dodecagon
51
Each interior angle of a regular polygon measures 162°. How many sides does it have?
a. 20
b. 18
c. 16
d. Cannot be determined.
52
Find the sum of the exterior angles of a 15 sided polygon.
a. 2340°
b. 360°
c. 126°
d. 24°
53
Find the number of degrees in each interior angle of a dodecagon.
a. 135°
b. 144°
c. 150°
d. Cannot be determined.
54
When proving that a quadrilateral is a trapezoid, it is necessary to show
a. only one set of parallel sides.
b. one set of parallel sides and one set of non-parallel sides.
c. one set of parallel sides and one set of congruent sides.
d. two sets of parallel sides.
55
Find the slope of a line perpendicular to the line whose equation is 2y + 6x = 24.
a. -3
b. 6
c. 1/3
d. -1/6
56
In the accompanying diagram of circle O, angle ABC = 2x and the
subtended minor arch AC = x + 60. Find the value of x.
a. 20
b. 40
c. 60
d. 80
57
Given the circle at the right with diameter AB, find x.
a. 33°
b. 45°
c. 60°
d. 90°
58
Given the circle at the right with two tangents from a common
external point, find the measure of the angle designated by x.
a. 60°
b. 80°
c. 85°
d. 130°
59
When constructing a line parallel to a given line, you will be
a. copying a segment
b. bisecting a segment
c. copying an angle
d. constructing a perpendicular
60
The point of concurrence of angle bisectors of a triangle is always located within the triangle.
a. TRUE
b. FALSE
61
The point of concurrence of perpendicular bisectors of a triangle is always located withing the
triangle.
a. TRUE
b. FALSE
62
What construction is shown in the accompanying diagram?
a. the bisector of angle ACD
b. the midpoint of segment DF
c. the perpendicular bisector of segment AB
d. a perpendicular line to segment AB from point D
63
Which diagram shows the correct mathematical construction, using only a compass and a
straightedge to bisect an angle?
a.
c.
b.
d.
64
You are looking at a triangle where the orthocenter, the centroid, and the circumcenter are all the
same point. What type of triangle are you looking at?
a. Scalene
b. Isosceles
c. Equilateral
d. Right
65
In the diagram at the right, parallel lines a and m are cut by
transversal t. m<1 = 4x + 16 and m<2 = 2x – 22. Find m<1.
a. 31
b. 40
c. 140
d. 180
66
In the diagram at the right, line a is parallel to b, and line t
is a transversal. If m<1 = 97° and m<2 = 44°, find m<3.
a. 44
b. 53
c. 83
d. 97
67
In the accompanying diagram of a rectangle, ABCD,
m<ABE = 30° and m<CFE = 144°. Find m<BEF.
a. 36°
b. 60°
c. 84°
d. 90°
68
In parallelogram CARS, m<C = 5x – 20 and m<A = 3x + 40. Find x.
a. 15
b. 20
c. 30
d. 130