Download Released Honors Geometry Midterm from County

Geometry Honors
District Midterm
Geometry EOC
Appendix G
Algebra 1 End-of-Course and Geometry End-of-Course
Assessments Reference Sheet
b
h
w
d
r
base
height
width
diameter
radius
slant height
a
apothem
A
B
C
V
P
S.A.
area
area of base
circumference
volume
perimeter
of base
surface area
V bwh or
V Bh
S. A. 2bh 2bw 2 hw or
S. A. Ph 2 B
V !r 2 h or
S. A. 2 !rh 2 !r 2 or
S. A. 2 !rh 2 B
1
2
1
3
V 31 !r 2 h or
S. A. 1
1
(2!r ) B
2
3
Sum of the measures of the interior angles of a polygon 180 ( n 2)
Measure of an interior angle of a regular polygon
where:
180 (n 2)
n
n represents the number of sides
Geometry EOC Test Item Specifications
Florida Department of Education | G-4
| 137
Geometry EOC
Appendix G
Algebra 1 End-of-Course and Geometry End-of-Course
Assessments Reference Sheet
Distance between two points
Slope formula
y2
y1
x2
x1
(x2 − x1)2 + (y2 − y1)2
x1 y1
x2 y2
Midpoint between two points
Slope-intercept form of a linear equation
(
(
Quadratic formula
-
Point-slope form of a linear equation
y1
x1
x1 y1
Special Right Triangles
x
x
x
G-5
|
Trigonometric Ratios
x
x
x
Geometry EOC Test Item Specifications
A°
sin A°
opposite
hypotenuse
cos A°
adjacent
hypotenuse
tan A°
opposite
adjacent
Florida Department of Education
Geometry Honors District Midterm Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Which one of the following is NOT one of the undefined terms in geometry?
a.
point
c.
plane
b.
line
d.
space
2. What is a valid explanation of how to construct JK so that JK ! FG?
a.
(1) Draw a ray with endpoint J.
(2) Open your compass to the length of FG . Put the compass point on G and draw
an arc that intersects the ray. Label JK.
JK ! FG
b.
(1) Draw a ray with endpoint J.
(2) Open your compass to the length of FG . Put the compass point on J and draw an
arc that intersects the ray. Label the point of intersection K.
JK ! FG
c.
(1) Measure the segment FG.
(2) Open your compass to the length of FG . Put the compass point on K and draw
an arc that intersects the ray. Label the point of intersection J.
JK ! FG
d.
(1) Draw a ray with endpoint J.
(2) Open your compass to the length of FG . Put the compass point on J and draw an
arc that intersects the ray and is two times the length of FG. Label the point of
intersection K.
JK ! FG
1
____
3. R is the midpoint of PS. The coordinates of S and R are given below. What are the coordinates of P?
R: (5, 4)
a.
____
____
(4, 7)
b.
(10, 8)
c.
S: (6, 1)
(5.5, 2.5)
d.
(7, "2)
4. An angle has a measure of 29.6°. What is the measure of the supplement of its complement?
a.
29.6°
c.
90°
b.
60.4°
d.
119.6°
5. The circle shown below is centered at the origin and contains the point (-4, -2).
Which of the following is closest to the length of the circumference of the circle?
a.
4.47
c.
28.09
b.
8.94
d.
62.83
2
____
____
____
6. The volume of a regular hexahedron is 216 units cubed. What is it’s surface area?
a.
36 units squared
c.
108 units squared
b.
88.18 units squared
d.
216 units squared
7. If KM = MZ, then K is the midpoint of KZ.
a.
True
b.
False
8. Draw a Venn diagram to illustrate this conditional statement:
If it is a car, then it is a motor vehicle.
a.
c.
b.
d.
3
____
9. The converse of the inverse of a conditional statement has the same truth value as which of the
following?
I.
II.
III.
IV.
The original conditional statement
The converse of the original conditional statement
The inverse of the original conditional statement
The contrapositive of the original conditional statement
a.
I
c.
I and IV
b.
III
d.
II and III
____ 10. Tien makes the following argument and reaches the conclusion below.
Given: If a number is divisible by 4, then the number is divisible by 2. 16 is divisible by 4.
Conclusion: 16 is divisible by 2.
Which law guarantees Tien that she has drawn a valid conclusion?
a.
b.
c.
d.
Law of Syllogism
Law of Detachment
Law of Inductive Reasoning
Law of Conclusions
1
____ 11. What is the value of c such that the points ÊÁË "3, 5 ˆ˜¯ and ÊÁË 8, c ˆ˜¯ lie on a line with slope " ?
5
a.
14
5
c.
3
b.
36
5
d.
-50
____ 12. If AB # CD and XY # CD , then AB is ____________ parallel to XY .
a.
always
b.
sometimes
c.
never
4
____ 13. Complete the following truth table and choose the one that is filled out correctly below.
p
q
r
T
T
T
T
T
F
T
F
T
F
$q
r% $ q
F
F
F
F
a.
c.
p
q
r
$q
r% $ q
p
q
r
$q
r% $ q
T
T
T
F
F
T
T
T
F
F
T
T
F
F
F
T
T
F
F
F
T
F
T
T
T
T
T
T
F
F
T
F
F
T
F
T
T
F
T
F
F
T
T
F
F
F
F
T
T
T
F
T
F
F
T
F
F
F
T
F
F
F
T
T
F
F
F
T
T
T
F
F
F
T
F
F
F
F
T
F
b.
d.
p
q
r
$q
r% $ q
p
q
r
$q
r% $ q
T
T
T
F
F
T
T
T
F
F
T
T
F
F
F
T
T
F
F
F
T
F
T
T
T
T
F
T
T
T
T
F
F
T
F
T
F
F
T
F
F
T
T
F
F
F
T
T
F
F
F
T
F
F
F
F
T
F
F
F
F
F
T
T
T
F
F
T
T
F
F
F
F
T
F
F
F
F
T
F
5
____ 14. Sebastian was asked to write the equation of the line that contains the point ÊÁË "1, 2 ˆ˜¯ and is parallel
to the line y" 2= 3 (x" 1). Which equation below represents the line Sebastian is looking for in slope
intercept form?
a.
y = 3x + 2
c.
y = 3x + 5
b.
y = 1 x+2
3
d.
y = "1 x+ 5
3
____ 15. Complete the two-column proof.
Given: 11x " 6y = "1; x = 8
Prove:
89
=y
6
11x " 6y = "1; x = 8
a. ________
88 " 6y = "1
b. ________
"6y = "89
c. ________
89
6
d. ________
89
=y
6
e. ________
y=
a.
a. Given
b. Symmetric Property of Equality
c. Subtraction Property of Equality
d. Division Property of Equality
e. Reflexive Property of Equality
c.
a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Reflexive Property of Equality
b.
a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Symmetric Property of Equality
d.
a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Commutative Property
6
____ 16. Identify the missing justifications used to find the value of x.
m&PQR = x + 7, m&SQR = x + 3, and m&PQS = 100.
m&PQR + m&SQR = m&PQS
x + 7 + x + 3 = 100
2x + 10 = 100
2x = 90
x = 45
a. __________
b. Substitution Property
c. Simplify
d. __________
e . Division Property of Equality
a.
Angle Addition Postulate; Division Property of Equality
b.
Angle Addition Postulate; Subtraction Property of Equality
c.
Protractor Postulate; Addition Property of Equality
d.
Protractor Postulate; Subtraction Property of Equality
____ 17. Use the diagram below, where a || b.
Which pair are alternate exterior angles?
a.
&3 and &4
c.
&1 and &6
b.
&1 and &2
d.
&2 and &6
7
____ 18. What is m&UST?
a.
36°
c.
104°
b.
76°
d.
114°
____ 19. Michael is building a chair for his front porch. He cuts each leg so that they form a 52° angle with the
base of the seat of the chair as shown in the diagram below.
What angle does the front of each leg make with the ground, x, in order to ensure that the seat of the
chair is parallel with the ground?
a.
138°
c.
52°
b.
128°
d.
38°
____ 20. If
DNP !
HKF, which of the following is NOT necessarily true?
a.
NP ! KF
c.
&D ! &H
b.
DP ! HF
d.
&P ! &K
8
____ 21. Which of the following is the construction of the segment that is perpendicular to AB through point C?
a.
c.
b.
d.
____ 22. Using the information below, what is the most accurate classification of 'PQR? How long is QR?
a.
equilateral, QR
= 24
c.
acute, QR
b.
isosceles, QR
= 18.5
d.
equilateral, QR
9
= 5.5
= 35
____ 23. 'MNP is an isosceles triangle with MN ! PN. The measure of &N is 3 times the measure of &P. What
is the measure of &N?
a.
144°
c.
36°
b.
108°
d.
18°
____ 24. In the quadrilateral below, what is the sum of the degree measures of angles 1, 2, and 3?
a.
70°
c.
290°
b.
110°
d.
320°
____ 25. Find the values of x and y.
a.
x = 90, y = 47
c.
x = 47, y = 43
b.
x = 43, y = 47
d.
x = 90, y = 43
10
____ 26. Given: PQRS is a rectangle.
Prove: PSR ! QRS
Which triangle congruence property is missing in step 5?
Statement
Reason
1. Opposite sides of a rectangle are
congruent.
2. All angles of a rectangle are right angles.
3. Reflexive Property of Congruence
1. PS ! QR
2. &PSR and &QRS are right angles.
3. SR ! RS
4. &PSR ! &QRS
5. PSR ! QRS
4. All right angles are congruent.
5. ?
a.
AAS
c.
SSS
b.
ASA
d.
SAS
____ 27. To prove that parallelogram ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a
rhombus, you must show that it is a parallelogram with perpendicular diagonals. What are the slopes of
the diagonals?
a.
3
2
and "
2
3
c.
1
and "2
2
b.
1 and "1
d.
"
11
4
4
and
7
7
____ 28. What is the translation image of the triangle shown after a translation with the rule
(x, y) ( (x " 3, y + 3)?
a.
c.
b.
d.
12
____ 29. If a triangle is partially formed by the vertices ÁÊË "2a, 0 ˜ˆ¯ and ÁÊË 2a, 0 ˜ˆ¯ , what is the number of unique
vertices for which the triangle formed is regular?
a.
infinite
c.
1
b.
2
d.
0
____ 30. An altitude of an equilateral triangle intersects the opposite side at the midpoint. Which of the following
could be used to construct an altitude of an equilateral triangle?
a.
copying an angle
c.
parallel line
b.
copying a segment
d.
perpendicular bisector
____ 31. Where is the circumcenter of any given triangle?
a.
the point of concurrency of the altitudes of the triangle
b.
the point of concurrency of the perpendicular bisectors of the sides of the triangle
c.
the point of concurrency of the bisectors of the angles of the triangle
d.
the point of concurrency of the medians of the triangle
____ 32. In 'ACE, G is the centroid and BE = 9. Find BG and GE.
1
3
, GE = 6
4
4
a.
BG = 2
b.
BG = 3, GE = 6
c.
BG = 6, GE = 3
d.
BG = 4
13
1
1
, GE = 4
2
2
____ 33. Which inequality shows the possible lengths for the third side of the triangle below?
a.
x > 9.8
c.
3.2 < x < 6.6
b.
x < 3.4
d.
3.4 < x < 9.8
____ 34. What is the correct order of the sides of the triangle from longest to shortest?
a.
LN, LM, MN
c.
LN, MN, LM
b.
LM, MN, LN
d.
MN, LN, ML
____ 35. For an indirect proof of the statement below, what do you temporarily assume as the first step of the
proof?
The two lines are parallel.
a.
The two lines are NOT parallel.
b.
The two lines are NOT rays or segments.
c.
The two lines are the same.
d.
The two lines are skew.
____ 36. The measure of an exterior angle of a regular polygon is 45°. What type of polygon is it?
a.
dodecagon
c.
nonagon
b.
decagon
d.
octagon
14
____ 37. Compare PR and QS.
a.
PR = QS
c.
PR > QS
b.
PR < QR
d.
PR < QS
____ 38. What is the value of x in parallelogram WXYZ?
a.
22
c.
12
b.
18
d.
8
____ 39. LM is the midsegment of trapezoid ABCD. AB = 46 and DC = 125. What is LM?
a.
171
c.
57
b.
85.5
d.
95.5
15
____ 40. For his mathematics assignment, Armando must determine the conditions that will make quadrilateral
ABCD, shown below, a parallelogram.
Given that the m&DAB = 40 0 , which of the following statements will guarantee that ABCD is a
parallelogram?
0
a.
m&DCB = 40 0 ; m&ABC = 140
b.
m&ADC + m&DCB + m&ABC + 40
c.
m&ABC + 40
0
d.
m&DCB = 40
0
= 180
0
= 360
0
0
Short Answer
41. What is the length of RT?
42. How many edges does a triangular prism have?
43. In a regular polygon, the sum of the interior angles is equal to twice the sum of the exterior angles.
What is the measure of an interior angle of the polygon?
16
44. To the nearest tenth, what is the length, in units, of MN?
45. Assume all angles are right angles. What is the area of the figure?
46. What is the surface area of the shoebox with the dimensions shown below?
47. An aquarium has a giant fish tank in the shape of a cylinder.
To the nearest cubic foot, what is the volume of the fish tank? Use 3.14 for ).
17
**
(
48. In this drawing, line p is parallel to line j and line t is perpendicular to AB .
What is the measure of &BAC?
49. Find the x-coordinate of the circumcenter of 'ABC with vertices A("2, 4), B("2, "2), and C(4, "2).
50. Find the value of x.
18
Geometry Honors Mid-Term Fill-In Response Answer Sheet
Name: _________________________________
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Date: _______
Period: ____
ID: A
Geometry Honors District Midterm Exam
Answer Section
MULTIPLE CHOICE
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D
B
A
D
C
D
B
A
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A
B
B
C
B
B
D
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B
D
D
A
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MA.912.G.8.1
MA.912.G.1.2
MA.912.G.1.1
MA.912.G.8.2
MA.912.G.1.1
MA.912.G.7.1
MA.912.G.8.4
MA.912.G.8.4
MA.912.G.8.4
MA.912.D.6.4
MA.912.A.3.9
MA.912.D.6.4
MA.912.D.6.1
MA.912.A.3.10
MA.912.D.6.4| MA.912.G.8.5
MA.912.D.6.4| MA.912.G.8.5
MA.912.G.1.3
MA.912.G.1.3
MA.912.G.1.3
MA.912.G.4.6
MA.912.G.1.2
MA.912.G.4.1
MA.912.G.4.1
MA.912.G.2.2
MA.912.G.4.1
MA.912.D.6.4 | MA.912.G.4.6 | MA.912.G.8.5
MA.912.G.3.3
MA.912.G.2.4
MA.912.G.4.8
MA.912.G.4.2
MA.912.G.4.2
MA.912.G.4.2
MA.912.G.4.7
MA.912.G.4.7
MA.912.D.6.4
MA.912.G.2.2
MA.912.G.4.7
MA.912.G.3.1
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4
1
ID: A
40. ANS: A
STA: MA.912.G.8.4
SHORT ANSWER
41. ANS:
40
STA: MA.912.G.1.1
42. ANS:
9
STA: MA.912.G.7.1
43. ANS:
120°
STA: MA.912.G.2.2
44. ANS:
6.7
STA: MA.912.G.1.1
45. ANS:
360 square meters
STA: MA.912.G.2.5
46. ANS:
256 square inches
STA: MA.912.G.7.5
47. ANS:
196 ft3
STA: MA.912.G.7.5
48. ANS:
37°
STA: MA.912.G.1.3
49. ANS:
1
STA: MA.912.G.4.2
50. ANS:
63
STA: MA.912.G.2.2
2