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1st Semester Final Review
____
1. Which statement(s) may be true about the two lines shown in the diagram?
I. The lines are coplanar.
II. The lines are parallel.
III. The lines intersect in one point.
a.
b.
c.
d.
e.
I only
I and II only
II and III only
I and III only
I, II, and III
____
2. What is the distance between point A(–3, 2) and point B(5, –1)?
a. 2.2
b. 73
c. 8.5
d. 11
e. 5
____
3. In the diagram, what are the values of x and y?
a.
b.
c.
d.
e.
____
4.
a.
b.
c.
d.
e.
____
5.
and
22°
22.5°
23°
24°
23.5°
and
are complementary. The measure of
in the diagram are
?
.
is three times the measure of
. What is
a.
b.
c.
d.
____
vertical angles
complementary
a linear pair
supplementary
6. Given points
and
find the coordinates of the midpoint of
a.
b.
c.
d.
e.
____
7. Which of the following statements is false?
a. A, B, C, and D are coplanar.
b. A, B, and D are collinear.
c.
and
are opposite rays.
d. Answers B and C only
e. Answers A, B, and C
____
8. Given
and a third ray AC in the interior of
two angles are
?
.
a. supplementary
b. complementary
c. a linear pair
d. supplementary and a linear pair
e. complementary and a linear pair
____
9. What is the next number in the pattern
a. -3
b. -5
c.
if m BAC = 129° and m CAD = 51°, then the
d. -7
____ 10. What is the converse of "If it is raining, then we will not go to the beach?"
a. If it is not raining, then we will go to the beach.
b. We will go to the beach if and only if it is not raining.
c. If we go to the beach, then it is not raining.
d. If we do not go to the beach, then it is raining.
e. None of the above.
____ 11. "If
then
a. Symmetric property of equality
b. Substitution property of equality
= 24" is an example of the
e.
c. Addition property of equality
d. Subtraction property of equality
e. Reflexive property of equality
____ 12. Two angles
a. 102°
3 and 5 are each supplementary to
b. 2°
c. 78°
____ 13. In ABCD,
and
a. 5
What is the value of x?
b. 10
____ 14. In the diagram,
1
4. If m 5 is 78°, what is m 3?
d. 90°
e. 180°
c. 7
d. 6
e. 15
2. Which of the following is not true?
a.
3
4
b. m 7 + m 2 + m 4 = 180°
c. m 3 + m 5 = m 4
d.
6
7
e.
4 and 2 are complementary.
____ 15.
Find the length of
a. 8
b. 10
c. 4
d. 7
e. -7
____ 16. If two lines do not intersect and are not coplanar, then they must be
a. parallel
b. perpendicular
c. skew
d. coplanar
____ 17. In the diagram, how many lines can be drawn through point P that are parallel to line
a. 0
b.
c.
d.
e.
1
2
3
More than 3
____ 18. Which of the following is not true if
a.
b.
c.
d.
e.
°
and
are supplementary.
°
____ 19. Which of the following is an equation of a line parallel to
a.
b.
c.
d.
e.
____ 20. Which of the following is an equation of a line perpendicular to
a.
b.
c.
d.
e.
____ 21. Find the slope of the line that passes through the points (–2, 0) and (0, 4).
a.
b. –2
c. 4
d.
e. 2
____ 22. Which line passes through the point (0, 3) and has a slope of
a.
b.
c.
d.
e.
____ 23. In the diagram, find the value of x.
a.
b.
c.
d.
e.
24°
12°
30°
90°
15°
____ 24. State the postulate or theorem you would use to prove that lines m and n are parallel.
a.
b.
c.
d.
e.
Alternate Interior Angles Converse
Alternate Exterior Angles Converse
Consecutive Interior Angles Converse
Corresponding Angles Converse
Vertical Angles Congruence Theorem
____ 25. Which of the following terms can be used to describe a triangle that has no congruent sides?
a. acute
b. equilateral
c. isosceles
d. scalene
e. right
____ 26. Which of the following terms can be used to describe a triangle whose angle measures are 30°, 120°, and 30°?
a. acute
b. obtuse
c. equilateral
d. right
e. equiangular
____ 27. Given
which side is congruent to
a.
b.
c.
d.
e. Cannot be determined
____ 28. Which statement correctly describes the congruence of the triangles in the diagram?
a.
b.
c.
d.
e. None of these
____ 29. What is the measure of
a.
b.
c.
d.
e.
90°
38°
104°
52°
Cannot be determined
____ 30. Which postulate or theorem can be used to prove
a.
b.
c.
d.
e.
SSS
SAS
AAS
HL
ASA
____ 31. You are given the following information about
prove that
I.
II.
III.
IV.
a. I, II, and III
b. I, III, and IV
c. I, II, and IV
d. II, III, and IV
e. All combinations can be used.
and
Which combination cannot be used to
____ 32. What is the value of x?
a.
b.
c.
d.
e.
5
35
10
15
-10
____ 33. What is the measure of
a.
b.
c.
d.
e.
142°
128°
118°
132°
Cannot be determined
____ 34. In the diagram,
a.
b.
c.
d.
e.
110°
145°
90°
70°
100°
and
are angle bisectors of
MNL and m MNL = 110°. Find m MKL.
____ 35. A triangle has two sides that have lengths of 17 feet and 22 feet. Which of the following lengths could not
represent the length of the third side?
a. 21
b. 32
c. 18
d. 35
e. 40
____ 36. In the diagram,
a.
b.
c.
d.
e.
is the perpendicular bisector of
x = 2, y = 7
x = 8, y = 2
x = 8, y = 11
x = 2, y = 8
x = 2, y = 11
____ 37. In the diagram, P is the centroid of
a.
b.
c.
d.
e.
What are the values of x and y?
6
9
12
11
8
Use the figure.
ABC and PD = 3. Find BD.
____ 38. Identify a median of
a.
b.
.
c.
d.
e. none of these
____ 39. Identify an altitude of
a.
b.
.
c.
d.
e.
____ 40. In
a.
b.
c.
d.
e.
ABC, if m ABF = 39° and
90°
45°
39°
51°
12°
is an angle bisector, find m BCE.
____ 41. Which of the following statements is false?
I. Medians intersect inside a triangle.
II. Perpendicular bisectors intersect inside a triangle.
III. Angle bisectors intersect inside a triangle.
a.
b.
c.
d.
e.
I only
II only
III only
II, III
I, III
____ 42. A regular polygon has an interior angle with a measure of 135°. How many sides does the polygon have?
a. 5
b. 6
c. 7
d. 8
e. 9
____ 43. What is the value x?
a.
b.
c.
d.
e.
45
50
55
60
65
____ 44. What is the sum of the exterior angles in a convex 11-sided polygon?
a. 360°
b. 540°
c. 1620°
d. 180°
e. 720°
____ 45. In quadrilateral ABCD,
and
I. Quadrilateral ABCD is regular.
II. Quadrilateral ABCD is a rectangle.
III. Quadrilateral ABCD is a rhombus.
a. I only
b. I and II only
c. II and III only
d. I, II, and III
e. none of these
A and
B are supplementary. Which statements are true?
____ 46. A square with a side length of 5 has one vertex at (2, 0). Which of the following points cannot be a vertex of the
square?
a. (7, 0)
b. (0, 7)
c. (–3, 0)
d. (–3, –5)
e. (7, –5)
____ 47. Find the value of x.
a. 21
b.
c.
d.
e.
25
28
31
34
____ 48. What are the values of the variables in quadrilateral MNOP?
a.
b.
c.
d.
e.
x = 4, y = 19
x = 6, y = 19
x = 5, y = 27
x = 3, y = 32
x = 7, y = 26
____ 49. NPQR is a trapezoid and ST = 24. Find the value of x.
a.
b.
c.
d.
e.
6
10
8
9
11
____ 50. Use the figure to find the approximate perimeter of RSTU.
a.
b.
c.
d.
e.
72.5 in.
73.6 in.
72.0 in.
73.0 in.
71.8 in.
____ 51. Choose the statement that is true about a kite.
a. Only one pair of opposite angles are congruent.
b. Opposite sides are congruent.
c. Diagonals bisect each other.
d. Diagonals are congruent.
e. None of these is true.
____ 52. What special type of quadrilateral has the vertices F(–6, –2), G(1, –2), H(–6, –5), and
I(1, –5)?
a. rectangle
b. square
c. parallelogram
d. rhombus
e. kite
____ 53. DEFG is a trapezoid, DH = GH, EI = FI, and HI = 15.5. Find the value of x.
a.
b.
c.
d.
e.
13
12
15
14
16
1st Semester Final Review
Answer Section
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D
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Analysis
NOT: 978-0-618-65613-4
C
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Comprehension
NOT:
A
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
A
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Knowledge NOT: 978-0-618-65613-4
C
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Comprehension
NOT:
C
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Analysis
NOT: 978-0-618-65613-4
D
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Analysis
NOT: 978-0-618-65613-4
B
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Comprehension
NOT:
D
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Comprehension
NOT:
C
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
A
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Analysis
NOT: 978-0-618-65613-4
C
PTS: 1
DIF:
SAT/ACT Chapter Test
KEY:
Application NOT: 978-0-618-65613-4
C
PTS: 1
DIF:
Level B
REF: G1.01.EN.ST.01
SAT/ACT | Geometric Properties
Level B
REF: G1.01.EN.ST.02
SAT/ACT | Distance formula
978-0-618-65613-4
Level B
REF: G1.01.EN.ST.03
SAT/ACT | Line Intersection
Level B
REF: G1.01.EN.ST.04
SAT/ACT | Complementary Angles
Level A
REF: G1.01.EN.ST.05
SAT/ACT | Vertical Angles
Level A
REF: G1.01.EN.ST.06
SAT/ACT | Midpoint
978-0-618-65613-4
Level B
REF: G1.01.EN.ST.07
SAT/ACT | Coplanar | Collinear
Level B
REF: G1.01.EN.ST.08
SAT/ACT | Supplementary Angles | Linear Pairs
Level A
REF: G1.02.EN.ST.01
SAT/ACT | patterns
978-0-618-65613-4
Level A
REF: G1.02.EN.ST.02
SAT/ACT | conditional statements
Level A
REF: G1.02.EN.ST.03
SAT/ACT | Substitution Property of Equality
978-0-618-65613-4
Level B
REF: G1.02.EN.ST.04
SAT/ACT | supplementary angles
Level B
REF: G1.02.EN.ST.06
SAT/ACT | Logical Reasoning | Algebraic Properties
Level B
REF: G1.02.EN.ST.07
SAT/ACT | Logical Reasoning
Level B
REF: G1.02.EN.ST.08
SAT/ACT | Logical Reasoning
Level A
REF: G1.03.EN.ST.01
17.
18.
19.
20.
21.
22.
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25.
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SAT/ACT Chapter Test
KEY: SAT/ACT | Skew Lines
Comprehension
NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level A
REF: G1.03.EN.ST.02
SAT/ACT Chapter Test
KEY: SAT/ACT | Parallel Lines
Comprehension
NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level C
REF: G1.03.EN.ST.03
NCTM 9-12.GEO.1.a
TOP: SAT/ACT Chapter Test
SAT/ACT | Perpendicular Lines
BLM: Application NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: G1.03.EN.ST.04
SAT/ACT Chapter Test
KEY: SAT/ACT | Parallel Lines | Equation of a Line
Analysis
NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: G1.03.EN.ST.05
SAT/ACT Chapter Test
KEY: SAT/ACT | Perpendicular Lines | Equation of a Line
Analysis
NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level A
REF: G1.03.EN.ST.06
SAT/ACT Chapter Test
KEY: SAT/ACT | Slope
Comprehension
NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level A
REF: G1.03.EN.ST.07
SAT/ACT Chapter Test
KEY: SAT/ACT | Equation of a Line
Comprehension
NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.03.EN.ST.08
NCTM 9-12.GEO.1.a
TOP: SAT/ACT Chapter Test
SAT/ACT | Perpendicular Lines
BLM: Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level A
REF: G1.03.EN.ST.09
SAT/ACT Chapter Test
KEY: SAT/ACT | Theorems and Postulates about Parallel Lines
Analysis
NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level A
REF: G1.04.EN.ST.01
SAT/ACT Chapter Test
KEY: SAT/ACT | classifying triangles
Knowledge NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level A
REF: G1.04.EN.ST.02
SAT/ACT Chapter Test
KEY: SAT/ACT | classifying triangles
Knowledge NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level A
REF: G1.04.EN.ST.03
SAT/ACT Chapter Test
KEY: SAT/ACT | congruent triangles
Comprehension
NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: G1.04.EN.ST.04
SAT/ACT Chapter Test
KEY: SAT/ACT | congruent triangles
Application NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level B
REF: G1.04.EN.ST.05
SAT/ACT Chapter Test
SAT/ACT | isosceles triangles | congruent sides | angle measure
Application NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.04.EN.ST.06
SAT/ACT Chapter Test
KEY: SAT/ACT | proving triangles are congruent
Analysis
NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: G1.04.EN.ST.07
SAT/ACT Chapter Test
KEY: SAT/ACT | congruent triangles
Analysis
NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: G1.04.EN.ST.08
33.
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SAT/ACT Chapter Test
KEY: SAT/ACT | isosceles triangles
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: G1.04.EN.ST.09
SAT/ACT Chapter Test
KEY: SAT/ACT | angle measure | triangles
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: G1.05.EN.ST.01
SAT/ACT Chapter Test
KEY: SAT/ACT | Midsegments
Application NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.05.EN.ST.02
SAT/ACT Chapter Test
KEY: SAT/ACT | Inequalities in triangles
Application NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: G1.05.EN.ST.04
SAT/ACT Chapter Test
KEY: SAT/ACT | Perpendicular Bisector
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level A
REF: G1.05.EN.ST.05
SAT/ACT Chapter Test
KEY: SAT/ACT | Centroid
Application NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level A
REF: G1.05.EN.ST.06
SAT/ACT Chapter Test
KEY: SAT/ACT | Median
Comprehension
NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level A
REF: G1.05.EN.ST.07
SAT/ACT Chapter Test
KEY: SAT/ACT | Altitudes
Comprehension
NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.05.EN.ST.08
SAT/ACT Chapter Test
KEY: SAT/ACT | Angle Bisectors
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level C
REF: G1.05.EN.ST.09
SAT/ACT Chapter Test
KEY: SAT/ACT | Medians
Analysis
NOT: 978-0-618-65613-4
D
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.01
SAT/ACT Chapter Test
KEY: SAT/ACT | regular polygon
Application NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.02
SAT/ACT Chapter Test
KEY: SAT/ACT | exterior angle measures of polygons
Application NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level A
REF: G1.08.EN.ST.03
SAT/ACT Chapter Test
KEY: SAT/ACT | exterior angle measures of polygons
Comprehension
NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.04
SAT/ACT Chapter Test
KEY: SAT/ACT | Quadrilaterals | property
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.05
SAT/ACT Chapter Test
KEY: SAT/ACT | squares | coordinate geometry
Analysis
NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.06
SAT/ACT Chapter Test
SAT/ACT | Quadrilaterals | interior angle measures of polygons
Application NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.07
49.
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SAT/ACT Chapter Test
SAT/ACT | Quadrilaterals | interior angle measures of polygons
Application NOT: 978-0-618-65613-4
C
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.08
SAT/ACT Chapter Test
KEY: SAT/ACT | Trapezoids | midsegment of a trapezoid
Application NOT: 978-0-618-65613-4
B
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.09
SAT/ACT Chapter Test
KEY: SAT/ACT | Parallelograms | perimeter
Application NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.10
SAT/ACT Chapter Test
KEY: SAT/ACT | Kites | property
Analysis
NOT: 978-0-618-65613-4
A
PTS: 1
DIF: Level A
REF: G1.08.EN.ST.11
SAT/ACT Chapter Test
KEY: SAT/ACT | special quadrilaterals | coordinate geometry
Analysis
NOT: 978-0-618-65613-4
E
PTS: 1
DIF: Level B
REF: G1.08.EN.ST.12
SAT/ACT Chapter Test
KEY: SAT/ACT | Trapezoids |midsegment of a trapezoid
Application NOT: 978-0-618-65613-4