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Geometry Final Exam Review #2
1.
What is the number of degrees in the measure of each exterior angle of a regular
polygon of 18 sides?
a) 18
b) 20
c) 90
d) 160
2.
If each exterior angle of a regular polygon measures 40, what is the total number
of sides in the polygon?
a) 5
b) 6
c) 8
d) 9
3.
Which set of numbers can represent the lengths of the sides of a triangle?
a) {3, 3, 6}
b) {3, 4, 7}
c) {4, 7, 10}
d) {4, 4, 9}
4.
If each interior angle of a regular polygon measures 135, the polygon must be
a) an octagon
b) a decagon
c) a hexagon
d) a pentagon
5.
Which is an equation of a line that is parallel to the line whose equation is
y = 3x + 7?
1
1
a) y   x  6
b) y = -3x + 6
c) y  x  5
d) y = 3x – 5
3
3
6.
What is the slope of a line that is perpendicular to the line whose equation is
y – 2x = 5?
1
1
a)
b) 2
c) 
d) -2
2
2
7.
In ABC, an exterior angle at C measures 85. What is the longest side of
ABC?
8.
In ABC, mB is three times as large as mA. An exterior angle at C measures
140. Find mA.
9.
What equation represents the circle whose center is (1, -4) and whose radius is 6?
a) (x – 1)2 + (y + 4)2 = 6
b) (x – 1)2 + (y + 4)2 = 36
c) (x + 1)2 + (y – 4)2 = 6
d) (x + 1)2 + (y – 4)2 = 36
10.
In the diagram below, RL  LP, LR  RT , and M is the midpoint of TP . Which
method could be used to prove TMR  PML?
a) SAS
b) AAS
c) HL
d) SSS
L
P
M
T
11.
R
In the diagram below, A  E and C is the midpoint of AE . Which theorem
justifies ABC  EDC?
a) SSS
b) SAS
c) ASA
d) SSA
A
B
C
D
E
12.
Vertex angle A of isosceles triangle ABC measures 70. What is the measure, in
degrees, of an exterior angle at B?
13.
In parallelogram LMNO, an exterior angle at vertex O measures 72. Find the
measure, in degrees, of L.
14.
Two parallel lines are cut by a transversal. Two interior angles on the same side
of the transversal are represented by 2x and 30 + x. What is the measure of the
smaller angle?
15.
In parallelogram ABCD, diagonals AC and BD intersect at E. If BE = 4x – 12
and DE = 2x + 8, find x.
16.
Which statement is the contrapositive of the statement “If a triangle is a right
triangle, then it has two complementary angles”?
a) If a triangle is a right triangle, then it does not have two complementary
angles.
b) If a triangle does not have two complementary angles, then it is not a right
triangle.
c) If a triangle is not a right triangle, then it has two complementary angles.
d) If a triangle does not have two complementary angles, then it is a right
triangle.
17.
Write, in symbolic form, the converse of p  ~q.
18.
The diagonals of a rhombus have lengths of 8 centimeters and 6 centimeters. The
perimeter of the rhombus is
a) 20 cm
b) 24 cm
c) 5 cm
d) 14 cm
19.
A set contains five quadrilaterals: a rectangle, a rhombus, a parallelogram, a
square, and an isosceles trapezoid. If one quadrilateral is selected from the set at
random, what is the probability that its diagonals bisect each other?
20.
Given these distinct quadrilaterals: parallelogram, rhombus, rectangle, square, and
isosceles trapezoid. What is the probability of choosing at random a quadrilateral
whose diagonals are always congruent?
21.
You are given two statements: x  y and ~x  ~y. In which way is the second
statement related to the first?
a) converse
b) contrapositive
c) inverse
d) biconditional
22.
Which statement is the converse of “If I pass this test, then I am happy”?
a) If I am not happy, then I did not pass this test.
b) If I am happy, then I passed this test.
c) If I did not pass this test, then I am happy.
d) If I did not pass this test, then I am not happy.