Download Hon Geometry Midterm Review

Hon Geometry Midterm Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Name a plane that contains
.
R
W
C
A
T
a. plane ACR
b. plane WCT
____
c. plane WRT
d. plane RCA
2. D is between C and E.
C
=
D
4x + 8
,
=
27
E
, and DE = 27. Find CE.
6x
a. CE = 17.5
b. CE = 78
____
c. CE = 105
d. CE = 57
3. Find the measure of
. Then, classify the angle as acute, right, or obtuse.
C
D
B
O
a. m
b. m
____
4. m
A
; obtuse
; acute
and m
c. m
d. m
. Find m
.
; right
; obtuse
I
L
K
J
a. m
b. m
c. m
d. m
____
5.
bisects
,m
a. m
= 22°
b. m
= 3°
____
6. Tell whether
and
, and m
c. m
d. m
. Find m
= 40°
= 20°
.
are only adjacent, adjacent and form a linear pair, or not adjacent.
F
1
B
A
2
3
4
G
C
a. only adjacent
b. adjacent and form a linear pair
c. not adjacent
____
7. Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(4,
–2) to U(–2, 3).
a. –1.0 units
c. 0.0 units
b. 3.4 units
d. 7.8 units
____
8. Name all pairs of vertical angles.
J
M
L
K
N
a.
b.
c.
d.
____
;
;
;
;
with endpoints C(1, –6) and M(7, 5).
9. Find the coordinates of the midpoint of
y
8
6
M
4
2
–8
–6
–4
–2
2
4
6
8
x
–2
–4
–6
C
–8
a. (3, 1)
c. (4,  1 )
2
d. (4 1 , 1 )
b. (8, –1)
2
2
____ 10. Name three collinear points.
P
N
G
R
a. P, G, and N
b. R, P, and N
c. R, P, and G
d. R, G, and N
____ 11. An animated film artist creates a simple scene by translating a kite against a still background. Write a rule for
the translation of kite 1 to kite 2.
y
7
2
–7
7
x
1
–7
a. (x, y)
b. (x, y)
(x – 6, y + 6)
(x + 6, y – 6)
____ 12. Complete the conjecture.
The sum of two odd numbers is _____.
a. even
b. odd
c. (x, y)
d. (x, y)
(x – 2, y + 2)
(x + 2, y – 2)
c. sometimes odd, sometimes even
d. even most of the time
____ 13. Identify the hypothesis and conclusion of the conditional statement.
If it is raining then it is cloudy.
a. Hypothesis: It is raining.
Conclusion: It is cloudy.
b. Hypothesis: It is cloudy.
Conclusion: It is raining.
c. Hypothesis: Clouds make rain.
Conclusion: Rain does not make clouds.
d. Hypothesis: Rain and clouds happen together.
Conclusion: Rain and clouds do not happen together..
____ 14. Write a conditional statement from the statement.
A horse has 4 legs.
a. If it has 4 legs then it is a horse.
c. If it is a horse then it has 4 legs.
b. Every horse has 4 legs.
d. It has 4 legs and it is a horse.
____ 15. Determine if the conjecture is valid by the Law of Detachment.
Given: If Tommy makes cookies tonight, then Tommy must have an oven. Tommy has an oven.
Conjecture: Tommy made cookies tonight.
a. The conjecture is valid, because if Tommy didn’t have an oven then he didn’t make
cookies tonight
b. The conjecture is not valid, because if Tommy didn’t have an oven then he didn’t make
cookies tonight.
c. The conjecture is valid, because Tommy could have an oven but he could make something
besides cookies tonight.
d. The conjecture is not valid, because Tommy could have an oven but he could make
something besides cookies tonight.
____ 16. Use the Law of Syllogism to draw a conclusion from the given information.
Given: If two lines are perpendicular, then they form right angles. If two lines meet at a
are perpendicular. Two lines meet at a
angle.
a. Conclusion: The lines are parallel.
b. Conclusion: The lines are perpendicular and meet at a
angle.
c. Conclusion: The lines meet at a
angle.
d. Conclusion: The lines form a right angle.
____ 17. For the conditional statement, write the converse and a biconditional statement.
If a figure is a right triangle with sides a, b, and c, then
.
a. Converse: If a figure is not a right triangle with sides a, b, and c, then
.
Biconditional: A figure is a right triangle with sides a, b, and c if and only if
b. Converse: If
, then the figure is a right triangle with sides a, b, and c.
Biconditional: A figure is a right triangle with sides a, b, and c if and only if
c. Converse: If
, then the figure is not a right triangle with sides a, b, and c.
Biconditional: A figure is not a right triangle with sides a, b, and c if and only if
d. Converse: If
, then the figure is not a right triangle with sides a, b, and c.
Biconditional: A figure is a right triangle with sides a, b, and c if and only if
____ 18. Determine if the biconditional is true. If false, give a counterexample.
A figure is a square if and only if it is a rectangle.
a. The biconditional is true.
b. The biconditional is false. A rectangle does not necessarily have four congruent sides.
c. The biconditional is false. All squares are parallelograms with four
angles.
d. The biconditional is false. A rectangle does not necessarily have four
angles.
____ 19. Write the definition as a biconditional.
An acute angle is an angle whose measure is less than
.
a. An angle is acute if its measure is less than
.
b. An angle is acute if and only if its measure is less than
c. An angle’s measure is less than
if it is acute.
d. An angle is acute if and only if it is not obtuse.
.
____ 20. Identify the property that justifies the statement.
and
. So
.
a. Reflexive Property of Congruence
c. Symmetric Property of Congruence
b. Substitution Property of Equality
d. Transitive Property of Congruence
____ 21. Write a justification for each step, given that
E
F
G
.
H
Given information
[1]
Segment Addition Postulate
[2]
Subtraction Property of Equality
angle, then they
.
.
.
a. [1] Angle Addition Postulate
[2] Subtraction Property of Equality
b. [1] Substitution Property of Equality
[2] Transitive Property of Equality
c. [1] Segment Addition Postulate
[2] Definition of congruent segments
d. [1] Segment Addition Postulate
[2] Substitution Property of Equality
____ 22. Write a two-column proof of the statement
.
Given: AB = CD; BF = FC
Prove:
A
B
F
C
D
Two-column proof:
Statements
1.
;
2. [1]
3. [2]
4.
5.
a. [1]
[2]
b. [1]
[2]
c. [1]
[2]
d. [1]
[2]
;
____ 23. Write a two-column proof.
Given: m
+m
= 90 , m
4
3
2
1
Prove: m
Reasons
1. Given
2. Addition Property of Equality
3. Segment Addition Postulate
4. Substitution
5. Definition of congruent segments
=m
Complete the proof.
+m
= 90 , m
=m
Proof:
1. m
2. [1]
3. m
4. m
5. m
6. m
+m
+m
=m
+m
=m
Statements
= 90
=m
+m
=m
+m
Reasons
1. Given
2. Given
3. Substitution Property
4. Given
5. [2]
6. [3]
a. [1] m
+m
= 90
[2] Substitution Property
[3] Subtraction Property of Equality
b. [1] m
+m
= 90
[2] Substitution Property
[3] Subtraction Property of Equality
c. [1] m
+m
= 90
[2] Subtraction Property of Equality
[3] Substitution Property
d. [1] m
+m
= 90
[2] Addition Property of Equality
[3] Substitution Property
____ 24. Use p and q to find the truth value of the compound statement
p : Blue is a color.
q : The sum of the measures of the angles of a triangle is
.
a. Since p is true, the conjunction is true.
b. Since q is true, the conjunction is true.
c. Since p and q are true, the conjunction is true.
d. Since q is false, the conjunction is false.
____ 25. Write a flowchart proof.
Given:
Prove:
1
2
3 4
Complete the proof.
Flowchart proof:
Given
[1]
.
Definition of linear pair
[2]
a. [1]
and
are supplements;
and
[2] Congruent Complements Theorem
b. [1]
and
are supplementary;
and
[2] Congruent Supplements Theorem
c. [1]
[2] Definition of congruent segments
d. [1] Definition of congruent segments
[2] Congruent Supplements Theorem
Definition of
congruent segments
are supplementary
are supplementary
____ 26. Write and solve an inequality for x.
D
2x + 4
A
8
C
B
a.
b.
c.
d.
____ 27. Write a two-column proof.
B
1
3
2
A
Given:
Prove:
C
is a right angle.
are complementary.
Complete the proof.
Two-column proof:
Statements
1.
is a right angle.
2. m
3.
4.
5.
6.
7.
are complementary.
Reasons
1. Given
2. Definition of a right angle
3. [1]
4. Substitution
5. [2]
6. Substitution
7. Definition of complementary angles
a. [1] Substitution
[2] Definition of congruent angles
b. [1] Angle Addition Postulate
[2] Definition of congruent angles
c. [1] Angle Addition Postulate
[2] Definition of equality
d. [1] Substitution
[2] Definition of equality
____ 28. Identify the transversal and classify the angle pair
n
and
.
m
2
1
3
4
9 10
5 6
l
a.
b.
c.
d.
8
12 11
7
The transversal is line l. The angles are corresponding angles.
The transversal is line l. The angles are alternate interior angles.
The transversal is line n. The angles are alternate exterior angles.
The transversal is line m. The angles are corresponding angles.
____ 29. Find m
.
>>
A
xº
(3x - 70)º
>>
B
a. m
b. m
____ 30. Find m
= 40°
= 45°
.
C
c. m
d. m
= 35°
= 50°
R
V
U
(4x – 24)º
a. m
b. m
T
S (3x)º
>>
>>
=
=
c. m
d. m
=
=
____ 31. Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals
to the violin strings. Find x and y in the diagram.
100º
(4x + y)º
(8x + y)º
60º
a.
b.
c.
d.
____ 32. Use slopes to determine whether the lines are parallel, perpendicular, or neither.
a. neither
b. perpendicular
c. parallel
____ 33. Use the information
show that
.
, and the theorems you have learned to
1
l
2
m
a. By substitution,
and
By the Substitution Property of Equality,
.
By the Converse of the Alternate Interior Angles Theorem,
b. By substitution,
and
Since
and
are alternate interior angles,
By the Converse of the Same-Side Interior Angles Theorem,
c. By substitution,
and
Since
and
are same-side interior angles,
By the Converse of the Same-Side Interior Angles Theorem,
d. Since
and
are same-side interior angles,
.
By substitution,
.
By the Converse of the Alternate Interior Angles Theorem,
____ 34. Find
.
.
.
.
.
.
.
and
.
in the diagram. (Hint: Draw a line parallel to the given parallel lines.)
>>
)
)
>>
1
a.
b.
.
= 130°
= 120°
c.
d.
= 125°
= 135°
____ 35. Write a two-column proof.
Given:
Prove:
t
1 2
m
l
Complete the proof.
Proof:
Statements
1. [1]
2.
3.
a. [1]
[2] 2 intersecting lines form linear pair of
Reasons
1. Given
2. [2]
3. [3]
s
lines
.
[3] 2 lines to the same line
lines .
b. [1]
[2] 2 lines to the same line
lines .
[3] 2 intersecting lines form linear pair of
c. [1]
[2] 2 intersecting lines form linear pair of
[3] Perpendicular Transversal Theorem
d. [1]
[2] Perpendicular Transversal Theorem
[3] 2 lines to the same line
lines .
s
lines
.
s
lines
.
____ 36. Write the equation of the line with slope 2 through the point (4, 7) in point-slope form.
a.
c.
b.
d.
____ 37. Determine whether the lines
a. intersect
b. coincide
and
are parallel, intersect, or coincide.
c. parallel
____ 38. Use the slope formula to determine the slope of the line.
y
8
6
4
2
–8
–6
–4
–2
–2
2
4
6
x
8
–4
–6
–8
A
B
a. 0
c.  3
2
b.  2
3
d. undefined
____ 39. Determine whether triangles
and
are congruent.
y
6
G
–6
E
F
P
Q
6
x
R
–6
a. The triangles are congruent because
.
b. The triangles are congruent because
.
c. The triangles are congruent because
.
d. The triangles are congruent because
.
____ 40. Graph the line
a.
–8
–6
–4
can be mapped to
by a reflection:
can be mapped to
by a rotation:
can be mapped to
by a reflection:
can be mapped to
by a rotation:
.
y
y
c.
12
12
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
12
x
–8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
2
4
6
8
10
12
x
y
b.
–8
–6
–4
y
d.
12
12
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
12
x
–8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
2
4
6
8
10
12
x
____ 41. Prove that the triangles with the given vertices are congruent.
A(3, 1), B(4, 5), C(2, 3)
D(–1, –3), E(–5, –4), F(–3, –2)
a. The triangles are congruent because
, followed by a reflection:
can be mapped onto
.
by a rotation:
b. The triangles are congruent because
, followed by a rotation:
can be mapped onto
.
by a reflection:
c. The triangles are congruent because
can be mapped onto
, followed by another translation:
d. The triangles are congruent because
, followed by a reflection:
____ 42. Classify
by its angle measures, given m
can be mapped onto
.
,m
D
25º
60º
75º
A
B
a. obtuse triangle
b. acute triangle
____ 43. Classify
by its side lengths.
C
c. right triangle
d. equiangular triangle
by a translation:
.
by a rotation:
, and m
.
A
8
B
C
8
a. equilateral triangle
b. isosceles triangle
____ 44.
c. scalene triangle
d. obtuse triangle
is an isosceles triangle.
.
Find
is the longest side with length
.
=
and
=
.
8 x+ 5
A
B
3 x +9
4x+ 4
C
a.
b.
= 93
= 45
c.
d.
= 24
=5
____ 45. Daphne folded a triangular sheet of paper into the shape shown. Find
, and m
.
E
D
C
A
a.
b.
42º
61º
22º
=
=
B
c.
d.
____ 46. Given:
Identify all pairs of congruent corresponding parts.
=
=
, given
,
A
M
B
a.
b.
c.
d.
C
O
,
,
,
N
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
____ 47. Tell whether a triangle can have sides with lengths 5, 11, and 7.
a. Yes
b. No
____ 48. Given:
,
,
. T is the midpoint of
.
R
S
T
U
Prove:
Complete the proof.
Proof:
Statements
1.
2.
and
are right angles.
3.
4.
5.
6.
7. T is the midpoint of
.
8.
9.
10.
a. [1] Definition of right angles
[2] Third Angles Theorem
[3] Transitive Property of Congruence
b. [1] Definition of perpendicular lines
[2] Third Angles Theorem
Reasons
1. Given
2. [1]
3. Right Angle Congruence Theorem
4. Given
5. [2]
6. Given
7. Given
8. Definition of midpoint
9. [3]
10. Definition of congruent triangles
[3] Reflexive Property of Congruence
c. [1] Definition of perpendicular lines
[2] Vertical Angles Theorem
[3] Symmetric Property of Congruence
d. [1] Definition of perpendicular lines
[2] Third Angles Theorem
[3] Symmetric Property of Congruence
____ 49.
.
to B to C to D to E.
and
B
are equilateral.
and
. Find the total distance from A
D
C
E
A
G
F
a. 112
b. 98
c. 84
d. 28
____ 50. Given the lengths marked on the figure and that
bisects
, use SSS to explain why
.
4 cm
E
A
3 cm
3 cm
D
4 cm
C
B
a.
b.
c.
d. The triangles are not congruent.
____ 51. The figure shows part of the roof structure of a house. Use SAS to explain why
.
R
S
||
T
||
U
Complete the explanation.
It is given that [1]. Since
and
are right angles, [2] by the Right Angle Congruence Theorem.
By the Reflexive Property of Congruence, [3]. Therefore,
by SAS.
a. [1]
c. [1]
[2]
[2]
[3]
b. [1]
[2]
[3]
[3]
d. [1]
[2]
[3]
____ 52. Use AAS to prove the triangles congruent.
Given:
,
Prove: ABC HGF
,
G
>
>>
A
F
C
|
|
H
>>
>
B
Complete the flowchart proof.
Proof:
Given
1.
ABC
Given
2.
HGF
AAS
Given
a. 1. Alternate Exterior Angles Theorem
2. Alternate Interior Angles Theorem
b. 1. Alternate Interior Angles Theorem
2. Alternate Exterior Angles Theorem
c. 1. Alternate Exterior Angles Theorem
2. Alternate Exterior Angles Theorem
d. 1. Alternate Interior Angles Theorem
2. Alternate Interior Angles Theorem
____ 53. Determine if you can use the HL Congruence Theorem to prove ACD
need to know.
DBA. If not, tell what else you
P
A
B
|
^
^
|
C
a.
b.
c.
d.
D
Yes.
No. You do not know that
No. You do not know that
No. You do not know that
Q
and
are right angles.
.
.
____ 54. For these triangles, select the triangle congruence statement and the postulate or theorem that supports it.
L
J
K
B
A
a.
b.
____ 55. Given:
Prove:
C
, HL
, HL
c.
d.
,
bisects
F
B
)
C
)
A
D
G
, SAS
, SAS
Complete the flowchart proof.
Proof:
Given
1.
2.
bisects
Given.
ACB
Definition of
angle bisector.
ACD
4.
5.
3.
a. 1. Congruent Complements Theorem
2.
3. Transitive Property of Congruence
4. CPCTC
5. AAS
b. 1. Congruent Supplements Theorem
2.
3. Transitive Property of Congruence
4. AAS
5. CPCTC
c. 1. Congruent Supplements Theorem
2.
3. Reflexive Property of Congruence
4. AAS
5. CPCTC
d. 1. Congruent Complements Theorem
2.
3. Reflexive Property of Congruence
4. CPCTC
5. AAS
____ 56. Given: A(3, –1), B(5, 2), C(–2, 0), P(–3, 4), Q(–5, –3), R(–6, 2)
Prove:
Complete the paragraph proof.
,
Therefore ABC  by [4], and
, and
. So
by [5].
a. [1] PQ
[2]
[3] RPQ
[4] SSS
[5] CPCTC
c. [1] QR
[2]
[3] PQR
[4] SSS
[5] CPCTC
b. [1] PQ
[2]
[3] RPQ
[4] CPCTC
[5] SSS
d. [1] QR
[2]
[3] PQR
[4] CPCTC
[5] SSS
,
, and
____ 57. Write an equation for the line parallel to the line shown that passes through the point (–2, 3).
.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
x
5
–2
–3
–4
–5
a. y = 3x – 3
c. y =
d. y =
b. y = 3x + 8
1
3
x+
11
3
1
3
x+3
____ 58. The lengths of two sides of a triangle are 3 inches and 8 inches. Find the range of possible lengths for the
third side, s.
a. 5 < s < 11
c. 3 < s < 8
b. 3 < s < 11
d. 5 < s < 8
____ 59. Find CA.
A
)
s+ 2
)
)
C
a.
b.
c.
d.
2 s  10
B
CA = 10
CA = 12
CA = 14
Not enough information. An equiangular triangle is not necessarily equilateral.
____ 60. Find the measure of each numbered angle.
>
|
|
3 1

117
2
>
a.
b.
c.
d.
m
m
m
m
=
=
=
=
,m
,m
,m
,m
____ 61. Given that
=
=
=
=
,m
,m
,m
,m
bisects
=
=
=
=
and
, find
.
X
Y
Z
W
a.
b.
c.
d.
____ 62. Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints
and
.
7
2
a.
c.


2
b.
7
d.
2
7
____ 63. Find the circumcenter of
with vertices
7
2
.
y
5
A
4
3
2
1
–5 –4 –3 –2 –1
–1
B
–2
1
2
3
5 x
4
C
–3
a. (1, 1)
c.
b. (0, 0)
d.
____ 64. Three towns, Maybury, Junesville, and Cyanna, will create one sports center. Where should the center be
placed so that it is the same distance from all three towns?
a. Treat the towns as vertices of a triangle. The center must be placed at the triangle’s
circumcenter.
b. Treat the towns as vertices of a triangle. The center must be placed at the triangle’s
incenter.
c. Treat the towns as sides of a triangle. The center must be placed at the triangle’s
circumcenter.
d. Treat the towns as sides of a triangle. The center must be placed at the triangle’s incenter.
____ 65. Point O is the centroid of
,
. Find
.
C
X
Y
O
B
A
Z
a.
b.
= 2.2
= 1.1
c.
d.
= 3.3
=3
____ 66. Vanessa wants to measure the width of a reservoir. She measures a triangle at one side of the reservoir as
shown in the diagram. What is the width of the reservoir (BC across the base)?
120 m
B
X
120 m
150 m
A
100 m
Y
100 m
C
a. 300 m
b. 150 m
c. 75 m
d. 100 m
____ 67. Write the sides of
in order from shortest to longest.
I
58º
J
62º
K
a.
b.
c.
d.
____ 68. The diagram shows the approximate distances from Houston to Dallas and from Austin to Dallas. What is the
range of distances, d, from Austin to Houston?
D
200 mi
240 mi
A
H
a.
b.
c.
d.
____ 69. Compare m
and m
.
B
12
10
A
12
8
C
D
a.
b.
c.
d.
____ 70. Danny and Dana start hiking from the same base camp and head in opposite directions. Danny walks 6 miles
due west, then changes direction and walks for 5 miles to point C. Dana hikes 6 miles due east, then changes
direction and walks for 5 miles to point S. Use the diagram to find which hiker is farther from the base camp.
C
5 mi
base camp
B
6 mi
140º
A
6 mi
R
130º
5 mi
S
a.
b.
c.
d.
Danny is farther from the base camp than Dana.
Dana is farther from the base camp than Danny.
Both hikers are the same distance from the base camp.
There is not enough data to answer the question.
Numeric Response
1. Armando lives on one end of a street with a newsstand on the other. Armando picks up newspapers at the
newsstand and then delivers them to 14 equally-spaced houses on his way back. He travels from the
newsstand to the first house, then delivers a newspaper to each house. At the end of his route, he continues
down the street and goes home. Find the distance from the last house to Armando’s home.
Event
Distance from
Newsstand to
Distance from
Newsstand to
Distance
Between
Distance from
Last House to
Armando’s
newspaper
delivery route
Armando’s
Home
First House
Houses
Armando’s
Home
340 m
30 m
20 m
?
2. The supplement of an angle is 26 more than five times its complement. Find the measure of the angle.
3. Find the value of x so that
.
(6x + 5)º
m
(5x - 12)º
n
4. A right triangle is formed by the x-axis, the y-axis and the line
Round your answer to the nearest hundredth.
5. Find the value of x.
(2.5x + 6)o
. Find the length of the hypotenuse.
Hon Geometry Midterm Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
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ANS:
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ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
C
C
C
D
A
D
B
C
D
A
A
A
C
D
D
B
B
B
D
D
D
A
D
B
A
B
A
C
D
A
A
A
D
A
D
A
B
C
B
D
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
Basic
Average
Average
Basic
Average
Average
Average
Basic
Basic
Basic
Average
Basic
Basic
Average
Average
Basic
Average
Basic
Basic
Basic
Average
Average
Average
Average
Average
Average
Average
Average
Average
Average
Advanced
Average
Average
Advanced
Basic
Average
Average
Average
Average
Average
Average
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
DOK 1
DOK 2
DOK 1
DOK 1
DOK 2
DOK 1
DOK 2
DOK 1
DOK 2
DOK 1
DOK 1
DOK 1
DOK 1
DOK 1
DOK 2
DOK 2
DOK 2
DOK 1
DOK 1
DOK 1
DOK 1
DOK 2
DOK 1
DOK 2
DOK 2
DOK 2
DOK 1
DOK 1
DOK 2
DOK 2
DOK 3
DOK 1
DOK 2
DOK 3
DOK 1
DOK 2
DOK 2
DOK 1
DOK 2
DOK 2
DOK 2
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
A
A
B
A
A
A
B
B
A
C
B
A
B
C
A
A
A
C
C
A
A
A
A
A
A
A
A
A
A
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
DIF:
Average
Basic
Average
Average
Basic
Basic
Average
Advanced
Basic
Average
Average
Average
Advanced
Average
Average
Average
Average
Basic
Advanced
Basic
Average
Average
Average
Average
Average
Basic
Average
Basic
Average
NUMERIC RESPONSE
1. ANS: 50
DIF: Advanced
2. ANS: 74
MSC: DOK 2
DIF: Average
3. ANS: 17
MSC: DOK 2
DIF: Average
4. ANS: 3.35
MSC: DOK 1
DIF: Advanced
5. ANS: 21.6
MSC: DOK 2
DIF: Average
MSC: DOK 2
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
MSC:
DOK 2
DOK 1
DOK 2
DOK 2
DOK 1
DOK 1
DOK 1
DOK 3
DOK 2
DOK 2
DOK 1
DOK 2
DOK 3
DOK 2
DOK 2
DOK 2
DOK 2
DOK 1
DOK 2
DOK 1
DOK 2
DOK 2
DOK 2
DOK 2
DOK 1
DOK 1
DOK 2
DOK 1
DOK 2