Download geometry 1a 1st semester review

GEOMETRY 1A 1ST SEMESTER REVIEW
DIRECTIONS: Solve each problem. Find the answer that matches your solution. Usa a number 2 pencil to fill in the letter on your
scantron, making certain that you fill in the bubble completely. If you need to erase be sure to erase completely.
DO NOT USE CALCULATORS
1. Which of the following can be concluded from the
diagram?
5.
Given:
Prove:
A S, X, T are collinear
B
C
D
2. In the diagram, which statement is not true?
A
B
C
D
Statement
1.
1. Given
2.
3.
2. ?????
3. AlternateInterior
Angles are
congruent
4. ASA
4.
3. If a student finds a pattern in specific cases and
then forms a conjecture, the student is
A using deductive reasoning
B using inductive reasoning
C using facts to form a logical arguement
D forming a theorem
Reason
A
B
C
D
Alternate Interior angles are congruent
Vertical angles are congruent
Corresponding angles are congruent
CPCTC
Given:
Prove:
4. Which of the following is a counterexample to the
statement below?
Statement
A
B
C
D
postulate
space
plane
segment
1.
2.
3.
4.
Reason
1. Given
2. Addition Prop of
Equality
3. ?????
4. Substitution Prop
A Addition Property
B Segment addition postulate
C Symmetric
Revised July 10
D Reflexive
7. In the diagram
.
A
B
C
D
CPCTC
HL
AAS
Symmetric Property
10. Given:
Complementary angles have sum of 90º.
If we assume
, it would follow
.
This contradicts the given statement that
. Which conclusion is
valid?
A
.
B
C
D
8. If an angle is acute, then its measure is less than
90º.
What is the hypothesis of the statement?
A is less than 90º
B is not less than 90º
C an angle is not acute
D an angle is acute
Which of the following is a true “if-then”
statement of the above?
A If
are complementary
angles, then
B If
, then
are complementary
angles.
C If
, then
are not complementary
angles.
D If
are not
supplementary angles, then
complementary
angles.
.
are
11. Which of the following is a counterexample to the
statement:
“All obtuse angles are congruent” ?
9.
Given:
A
Prove:
B
C
Statement
Reason
1.
1. Given
2.
2. Alternate Int Ang
3.
4.
5.
3.Reflexive
4. ASA
5. ???
D
Revised July 10
12. Given the triangle below, which conclusion is
valid?
16. Fill in the blank.
“Similar triangles are __________ congruent.”
A always
B never
C sometimes
D cannot be determined
17. What similarity theorem can be used to prove the
triangles below similar?:
A
B
C
D
13. Use the law of detachment to make a valid
conclusion:
If two angles are vertical angles then they are
congruent
A
B
C
D
14. In the diagram
A
B
C
D
SSS
HL
SAS
AA
18. In the parallelogram below,
.
which pair of triangles can be proven congruent?
A
B
C
D
Which of the statements must be true?
A
B
C
D all of the above
19. Two regular octagons are always
A similar
B congruent
C equal
D Adjacent
15. Which is not a valid way to prove two triangles
congruent?
A SAS
B ASA
C SSA
D SSS
Revised July 10
20.
22. Two sides of a traingle have lengths of 7 and 11.
Which of the following cannot be the length of the
third side?
A 11
B 13
C 15
D 19

Given:

Prove:

23. In the diagram, which angle must be congruent to
to prove lines a and b are parallel?
Statement

1.
2.
3.
Reason
1. Given
2. Def of
Midpoint
3. Vertical
angles are
congruent.
4. ???
4.
What reason can be used to prove the triangles
are congruent?
A
B
C
D
ASA
AAS
SAS
CPCTC
A
B
C
D
24. In the diagram
21.
Given:
Prove:
Which statement about angles
true?
A
B
C
D
must be
What reason can be used to prove that the
triangles are congruent?
A
B
C
D
SSS
AAS
AAA
CPCTC
Revised July 10
28. In the diagram, parallel lines p and m are cut by
transversal d. The measure of
.
25.
In the diagram, which statement must be true?
A
B
C
D
26. What must be the value of x in order for l and m to
be parallel?
27. In the diagram, parallel lines r and s are cut by
transversal t.
must be true?
29. What is the value of x?
A
B
C
D
A
B
C
D
Which statement about
A
B
C
D
Which statement about
A
B
C
D
13
7
2
1
30. Two angles of a triangle have measures of
. Which of the following could be the
measure of an exterior angle of the triangle?
A
B
C
D
must be true?
Revised July 10
31. What type of triangle is
?
y
C 120º
D 180º
5
4
34. Given the diagram below, what is
N
3
?
2
1
–4 M
–3 –2 –1
–1
1
2
3
4
5
P6
x
–2
–3
–4
–5
A acute
B isosceles
C right
D equiangular
32. In the diagram,
is an isosceles triangle.
A
B
C
D
28º
52º
80º
132º
35. Given the diagram below, what is
Find the value of x in the diagram.
A 57
B 45
C 40
D 17
33. In
A
B
C
D
?
88º
33º
55º
92º
36. Given the diagram below, what are the values of
angles x and y?
A
B
C
D
;
A 60º
B 90º
Revised July 10
37.What is the slope of the line perpendicular to the line
graphed below?
39. Given the diagram below:
y
4
3
2
1
–4
–3
–2
–1
–1
1
2
3
4
x
–2
–3
Which statement could be used to prove
is a right triangle?
A Slope of
is positive
B
C
are midpoints
–4
A
B
C
D
D
40. Given the diagram below,
38. The diagram shows
.
Which statement could be used to show that
is an equilateral triangle?
A
B
what is the length of the ladder?
A 12 ft
B 13 ft
C 14 ft
D 15 f
C
D
Revised July 10
41. What is the slope of the line shown?
135°
n
135°
m
A
B
A If corresponding angles are congruent, then the
lines are parallel.
B If alternate interior angles are congruent, then
the lines are parallel.
C If vertical angles are congruent, then the lines
are parallel.
D If alternate exterior angles are congruent, then
the lines are parallel.
C
D
42. Which of the following does not always produce
two congruent segments?
A
B
C
D
45. What is the equation of the line perpendicular to
y  3 x  5 and passes through point (6, 1).
perpendicular segments
a midpoint of a segment
a segment bisected by another segment
corresponding sides of congruent triangles
43. Sophia knows that an interior angle of a regular
polygon measures 162º. How many sides does the
polygon have?
A 16
B 18
C 20
D 22
A
B
C
D
1
y   x5
3
y  3x  5
1
y   x3
3
y  3x  3
4
46. Which of the following best describes the triangles
shown below?
44. Using only the given information in the diagram
below, what reason makes the lines m and n
parallel?
60°
10
A
B
C
D
60°
12
Similar but not congruent
Congruent but not similar
Both similar and congruent
Neither similar nor congruent
Revised July 10
47. In the figure below, n is a whole number. What is the
smallest possible value for n?
n
9
15
A
B
C
D
12
7
24
6
Revised July 10
GEOMETRY 1A
Answer Section
MULTIPLE CHOICE
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CA GEOM 5.0
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Revised July 10
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47.
ANS: A
ANS: C
ANS: A
ANS: C
ANS: A
ANS: B
STA: CA GEOM 5.0
STA: CA GEOM 12.0
STA: CA GEOM 7.0
Revised July 10