Download Sem1 Exam2012 Condensed

Geometry 235
Semester 1 Exam – Part 1
DO NOT WRITE ON THIS COPY OF THE EXAM
For questions 1 - 20, match the symbol or term in column A with the correct name or definition in column B.
Column A
Column B
1.
A.
segment
2.
B. two angles that share a common side and vertex with no
interior points in common
3.
C. parallel
4.
D. congruent
5.
E.
angle
6.
F.
an angle with measure of
7.
G. perpendicular
8. acute angle
H. two angles whose sides form two pairs of opposite rays
9. obtuse angle
I.
the basic unit to measure the size of an angle
10. complementary angles
J.
an angle with a measure between
11. right angle
K. two lines in the same plane that never intersect
12. perpendicular lines
L.
13. supplementary angles
M.
14. parallel lines
N.
15. vertical angles
O. two angles whose measures have a sum of
16. degree
P.
17. adjacent angles
Q.
18. Pythagorean theorem
R. line
19. Midpoint formula
S.
two lines that intersect to form a right angle
20. Distance formula
T.
two angles whose measures have a sum of
and
an angle with a measure less than
ray
For questions 21 - 27, use the figure below to answer the questions.
21. Name a point collinear with
.
22. Name a line shown in the figure.
23. Name a segment that has B as an endpoint.
24. Name a ray that has C as an endpoint.
25. Does
pass through C?
26. Is A on
?
27. Name an acute angle.
For questions 28 – 35 use the figure below. Don’t forget to use the
28. Name an acute angle with
symbol.
as a side.
29. Name an obtuse angle with
as a side.
30. Name a straight angle.
31. Name a right angle.
32. Name a pair of vertical angles.
34. Name an angle complementary to
For questions 36 – 37,
questions.
bisects
36.
.
and
33. Name an angle adjacent to angle
.
35. Name an angle supplementary to
.
. Use the figure at the right to answer the
37.
For questions 38 - 46, use the figure at the right to answer the questions.
38. Name a right angle.
39. Name the vertex of
.
40. Name a side of
41. Another name for
42. Another name for
.
.
43. A pair of opposite rays.
45.
is what type of angle? (acute, obtuse, straight or right)
46.
is what type of angle? (acute, obtuse, straight or right)
44. A pair of perpendicular rays.
For questions 47 - 48, find the measure of the complement and supplement of the given angle.
47.
48.
For questions 49 – 50,
bisects
. Find the value of x.
49.
50.
For questions 51 - 54, name each of the following.
51. An angle congruent to
1
52. An angle congruent to
3
53. An angle supplementary to
5
54. An angle corresponding to
2
For questions 55 – 58, find the measure of each angle.
55.
56.
57.
58.
For questions 59 – 66, find the measure of each angle.
59.
60.
61.
62.
63.
64.
65.
66.
Use the figure at the below to answer questions 67 – 77.
67.
a vertical angle to
.
68.
an interior angle on the same side of the transversal as
.
69.
an exterior angle on the same side of the transversal as
.
70.
an alternate interior angle with
71.
a corresponding angle to
72.
If
74.
If
76.
If
and
77.
If
and
.
.
, then
, then
73.
If
, then
75.
If
, then
, then x
, then x
For questions 78 and 79, Classify each triangle by its sides and by its angles.
78.
79.
For questions 80 - 90, answer True or False:
80. Every triangle is equiangular.
81. An obtuse triangle contains two obtuse angles.
82. An equilateral triangle has no congruent sides.
83. A right triangle has one right angle.
84. A scalene triangle has no congruent sides.
85. A horizontal line has a slope of 0.
86. Parallel lines have the same slope.
87. A vertical line has a slope of 0.
88. If two parallel lines are cut by a transversal, same-side interior angles
are congruent.
89. The slopes of perpendicular lines are reciprocals of each other.
90. If two parallel lines are cut by a transversal, alternate exterior angles
are supplementary.
For questions 91 - 94, Identify the following for the figure shown.
91. the legs
92. the vertex angle
93. the base
94. a base angle
For questions 95 - 98, you know that the indicated parts of the triangles are congruent. Which postulate or
theorem, if any, could you use to prove that
If one is not possible, write NP.
95.
96.
97.
98.
For questions 99 - 101,
Complete the following congruence statements.
99.
100.
101.
For questions 102 - 106, Fill in the blanks.
base
equiangular
equilateral
right
legs
scalene
isosceles
vertex
102. The non-congruent side of an isosceles triangle is called the
.
103. A triangle with two sides congruent is called a(n) _____________________________ triangle.
104. A triangle with all sides congruent is an equilateral triangle and also a(n) ___________________ triangle.
105. A triangle with no congruent sides is called a(n)
106. The angle formed by the congruent sides of an isosceles triangle is called the
triangle.
angle.
For questions 107 - 111, find the value of
107.
108.
110.
111.
in each of the following triangles.
109.
State the missing congruence statement that is needed to prove that
theorem.
112.
Given:
Using the SAS Congruence Postulate.
113.
Given:
Using the AAS Congruence Postulate.
114.
Given:
Using the ASA Congruence Postulate.
115.
Given:
Using the SSS Congruence Postulate.
116.
Given:
Using the HL Congruence Theorem.
using the given postulate or
For questions 117 - 122. state whether you would use ASA, SSS, SAS, AAS, HL, or none to prove the triangles
are congruent.
117.
118.
119.
120.
121.
122.
123. Use the distance formula to find the length of the segment with endpoints
124. Find the midpoint of the line segment with endpoints
.
.
125. Find the slope of the line passing though the points
126. Find the length of AB
127. Find the value of x.
For questions 128 and 129, Simplify the following ratios, be sure to put the units on your answer.
128.
129.
For questions 130 and 131, answer the questions using the diagram below given that
130.
131.
.
For questions 132 - 144, choose the correct answer.
_______ 132. Find the
a.
b.
_______ 133. If
c.
d.
, what type of angle is
a. acute
_______ 134.
.
b. obtuse
is the midpoint of
a. 19
c.
right
d. straight
25
d. 50
Find the value of x.
b. 43
c.
_______ 135. What are the coordinates of the midpoint of the segment joining
a.
b.
c.
_______ 136. What is the measure of the supplement of a
a.
b.
?
d.
angle?
c.
d.
_______ 137. Describe the slope of the line passing through the points
a. Positive
b. Negative
c. Zero
d. Undefined
b.
c.
d.
_______ 138. What is the
a.
_______ 139. Use the diagram to name a pair of alternate interior angles.
a.
b.
c.
d.
_______ 140. What is the measure of
a.
b.
c.
d.
_______ 141. What type of triangle is
?
a. acute isosceles
b.
right scalene
c. right isosceles
d.
obtuse scalene
_______ 142. Identify the converse of the following statement:
If an angle measures
, then it is a straight angle.
a. If an angle is a straight angle, then it measures
b. If an angle doesn’t measure
.
, then it is not a straight angle.
c. If an angle is not a straight angle, then it does not measure
d. If an angle doesn’t measure
_______ 143. What is measure of
a.
b.
c.
d.
_______ 144. Find the value of x.
a. 4
b. 5.6
c. 8
d. 8.2
, then it’s not a straight angle.
.
For questions 145 - 154, use the following as the reasons in your proof. You may use a reason more than once.
Please write the letter of the reason in the blank.
A. Vertical angles are congruent
B. Transitive property of congruent angles
C. Definition of right triangle
D. All right angles are congruent
E. Reflexive property of congruent segments
F. SAS
G. ASA
I. Definition of segment bisector
H. If two lines are perpendicular, then they form four
right angles.
J. HL
K. If parallel lines are cut by a transversal, then
alternate interior angles are congruent.
L. A midpoint divides a segment into two congruent
parts
Given:
Prove:
Statement:
Reason:
Given
145.
145. _________________________________________
146.
146. _________________________________________
147.
147. _________________________________________
Given: B is the midpoint of
Prove:
Statement:
Reason:
Given
B is the midpoint of
148.
148. _________________________________________
149.
149. _________________________________________
150.
150. _________________________________________
Given:
is the perpendicular bisector of
Prove:
Statement:
Reason:
is the perpendicular bisector of
Given
151.
are right angles
151. _________________________________________
152.
are right triangles
152. _________________________________________
153.
153. _________________________________________
154.
154. _________________________________________
Geometry 235
Semester 1 Final – Answer Page
Name:
Date:
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25.
48. Comp:
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