ExamView Pro - S1 Final Review- Geom 1A.tst

Name: ________________________ Class: ___________________ Date: __________
S1 FINAL EXAM REVIEW - GEOMETRY 1 ACCELERATED
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
Refer to Figure 2.
B
L
A
D
K
C
F
G
Figure 2
____
____
1. How many planes are shown in the figure?
a. 3
c. 6
b. 4
d. 5
2. Name an intersection of plane GFL and the plane that contains points A and C.
a. line LC
c. plane CAB
b. C
d. line AC
Use the number line to find the measure.
G
–8
____
–7
H
–6
3. PH
a. 8
b. –0.5
–5
K L
–4
–3
–2
M
–1
0
1
N P Q
2
3
4
5
R
6
7
c.
d.
1
8
4.5
9
ID: A
Name: ________________________
ID: A
Use the Distance Formula to find the distance between each pair of points.
____
y
6
4.
5
4
3
2
1
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
T (2, –2)
–2
–3
–4
–5
W (–3, –5)
a.
b.
–6
6
50
c.
34
d.
4
Find the coordinates of the midpoint of a segment having the given endpoints.
____
5. Q  6.8, 6.9  , R  4.9, 7.5 
a.  1.9,  0.6 
b.  0.95,  0.3 
c.
d.
 5.85, 7.2 


 6.85, 6.2 





In the figure, GK bisects FGH .
F
x
G
y
K
H
____
6. If mFGK  7v  2 and mKGH  6v  5, find x.
a. 7
c.
b. 94
d.
2
49
47
Name: ________________________



ID: A




In the figure, KJ and KL are opposite rays. 1  2 and KM bisects NKL.
J
P
K
1
2
3 4
N
M
L
____
7. If mNKL  82 and mMKN  3s  2, what is m4?
a. 15.67
c. 13
b. 26.67
d. 41
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.
____
8. Given: Two angles are supplementary.
Conjecture: They are both acute angles.
a. True
b. False; they must be vertical angles.
c. False; either both are right or they are adjacent.
d. False; either both are right or one is obtuse.
Write the statement in if-then form.
____
9. Independence Day in the United States is July 4.
a. If it is Independence Day, then it is true.
b. If it is true, then it is Independence Day.
c. If it is Independence Day, then it is July 4.
d. If it is July 4, then it is Independence Day.
3
Name: ________________________
ID: A
Refer to the figure below.
B
C
A
D
G
H
F
I
____ 10. Name all segments parallel to GF .
a. AB, CD, HI
b. AB, CD
c.
d.
BC , AD, HI
CD, HI
____ 11. Name all segments skew to HI .
a. AD, AB, BC , CD
b. BC , AD, AF, BG
c.
d.
BA, BG, AF, FG
FI , GH , DI , CH






____ 12. In the figure, mRPZ  95 and TU  RQ  VW . Find the measure of angle WSP.
X
T
Z
R
P
V
S
U
Q
W
Y
a.
b.
75
85
c.
d.
65
95
Write an equation in point-slope form of the line having the given slope that contains the given point.
____ 13. m  5,  4, 3 
a. y  4  5(x  3)
b. y  5  3(x  4)
c.
d.
4
y  5x  1
y  3  5(x  4)
Name: ________________________
ID: A
____ 14. In the figure, p  q. Find m1. Hint: Draw a line through S parallel to p and q.
v
132°
111°
q
S
1
p
t
a.
b.
m1  42
m1  69
c.
d.
m1  63
m1  48
Find the distance between the pair of parallel lines.
____ 15. y  4x  1
y  4x  1
a. d  0.49
b. d  0.92
c.
d.
d  0.56
d  0.75
c.
d.
m1  57, m2  73, m3  66
m1  47, m2  73, m3  76
Find each measure.
____ 16. m1, m2, m3
2
60°
47°
1
3
57°
a.
b.
m1  47, m2  60, m3  57
m1  57, m2  47, m3  66
5
Name: ________________________
ID: A
____ 17. Triangle FJH is an equilateral triangle. Find x and y.
H
(4y – 4)°
3x – 8
2x – 1
J
F
a.
x  7, y  16
b.
x  5 , y  14
7
7
c.
x  5 , y  16
d.
x  7, y  14
____ 18. Triangle RSU is an equilateral triangle. RT bisects US . Find x and y.
R
5 y°
4x + 8
U
T
S
3x
5
a.
x 4,y6
b.
x  4 , y  12
5
c.
x  4, y  12
d.
x  4, y  6
Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain.
____ 19. 3, 8, 13
a. No; the first side is not long enough.
b. No; the sum of the lengths of two sides is not greater than the third.
c. Yes; the third side is the longest.
d. Yes; the sum of the lengths of any two sides is greater than the third.
____ 20. An isosceles triangle has a base 10.2 units long. If the congruent side lengths have measures to the first decimal
place, what is the shortest possible length of the sides?
a. 10.3
c. 5.0
b. 20.5
d. 5.2
____ 21. Use the number line below to determine the ratio of AD to EI.
A B C D E F G H
0
a.
b.
10
4:3
8:3
20
30
I
40
J
K
50
c.
d.
6
3:4
3:8
Name: ________________________
ID: A
Determine whether each pair of triangles is similar. Justify your answer.
____ 22.
a.
b.
c.
d.
yes; EDF  BCA by AA Similarity
yes; EDF  ABC by AA Similarity
yes; EDF  BCA by ASA Similarity
No; there is not enough information to determine similarity.
Find x and the measures of the indicated parts.
____ 23.
AB
a. x  7, AB  36
b. x  7, AB  20
c.
d.
x  7, AB  4
x  7, AB  16
BC and AC
a. x  8, BC  12, AC  14
b. x  8, BC  12, AC  2
c.
d.
x  6, BC  10, AC  12
x  6, BC  12, AC  10
____ 24.
7
Name: ________________________
ID: A
____ 25. Find x so that QS  PT .
R
Q
S
P
T
PQ  10 , QR  6, RS  3 , ST  x  2
a. 1.8
b. 5
c.
d.
7
3.8
Find the perimeter of the given triangle. Round your answer to the nearest tenth if necessary.
____ 26. BCE , if ADF  BCE, given AD  27, DF  24, AF  21, and BC  18 .
A
B
C
D
E
F
a. 14
c. 48
b. 72
d. 16
____ 27. Find the geometric mean between each pair of numbers.
14 and 8
a. 112
c. 11
22
b.
d. 4 7
____ 28. Determine whether the set of numbers can be the measures of the sides of a right triangle. Then state whether
they form a Pythagorean Triple.
24, 18, 30
a. yes, yes
c. no, no
b. no, yes
d. yes, no
8
Name: ________________________
ID: A
____ 29. Find x and y.
x
60°
27
y
a.
x  27 3, y  27
c.
x  27, y  27 3
b.
x  13.5, y  13.5 3
d.
x  13.5 3, y  13.5
____ 30. Dante is standing at horizontal ground level with the base of the Empire State Building in New York City. The
angle formed by the ground and the line segment from his position to the top of the building is 48.4°. The height
of the Empire State Building is 1472 feet. Find his distance from the Empire State Building to the nearest foot.
a. 1968
c. 2217
b. 7.65
d. 1307
____ 31. A rocket ship is two miles above sea level when it begins to climb at a constant angle of 3.5° for the next 40
ground miles. About how far above sea level is the rocket ship after its climb?
a. 655.9 miles
c. 2.4 miles
b. 4.4 miles
d. 653.9 miles
____ 32. A bird watcher spied a woodpecker. The bird watcher is 40 yards lower than the woodpecker. The distance
from the bird watcher to the woodpecker is 175 yards. What is the angle of elevation?
a. 12.9°
c. 13.2°
b. 76.8°
d. 77.1°
____ 33. Two cabins are observed by a ranger in a 60 feet tower above a park. The angles of depression are 11.6° and
9.4°. How far apart are the cabins?
a. 292.3 ft
c. 654.7 ft
b. 362.4 ft
d. 70.1 ft
____ 34. A ski slope is 250 yards long with a vertical drop of 100 yards. Find the angle of depression of the slope.
a. 21.8°
c. 23.6°
b. 68.2°
d. 66.4°
Find each measure using the given measures of KLM . Round angle measures to the nearest degree and
side measures to the nearest tenth.
____ 35. If mL  70.7, mK  82.2, and l  44.5, find k.
a. 42.0
c. 42.4
b. 44.1
d. 46.7
____ 36. In ABC , given the following measures, find the measure of the missing side.
a  14.4, c  16.4, mB  53.5
a. b  475.7
c. b  195.4
b. b  9.8
d. b  14.0
____ 37. Find the measure of an interior angle of a regular polygon with 17 sides. Round to the nearest tenth if
necessary.
a. 21.2
c. 360
b. 2700
d. 158.8
9
Name: ________________________
ID: A
____ 38. Find the measure of an exterior angle of a regular polygon with 8 sides. Round to the nearest tenth if necessary.
a. 1080
c. 360
b. 45
d. 135
Complete the statement about parallelogram ABCD.
A
B
G
D
C
____ 39. ABC  ____
a. BCD; Alternate interior angles are congruent.
b. BCD; Opposite angles of parallelograms are congruent.
c. ADC ; Opposite angles of parallelograms are congruent.
d. ADC ; Alternate interior angles are congruent.
Determine whether the quadrilateral is a parallelogram. Justify your answer.
____ 40.
44°
136°
136°
a.
b.
c.
d.
44°
yes; Opposite angles are congruent.
no; Consecutive angles are not congruent.
yes; Consecutive angles are not congruent.
no; Opposite angles are congruent.
Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.
____ 41. A(1, 5), B(10, 3) , C(9, 6), D(2, 8) ; Distance Formula
a. yes; Opposite sides are the same length.
b. no; Opposite sides are the same length.
c. yes; The diagonals have the same midpoint.
d. no; The diagonals have the same midpoint.
10
Name: ________________________
ID: A
Quadrilateral ABCD is a rectangle.
A
B
G
D
C
____ 42. If AG  3r  86 and DG  2r  91 , find BD .
a. 89
b. 178
____ 43.
C
D
c.
d.
44.5
1
O
F
E
In rhombus CDEF, if mCDF  22, find mDEC .
a. 22
c. 68
b. 44
d. 136
____ 44. For trapezoid JKLM, A and B are midpoints of the legs. Find ML.
M
A
J
L
25
30
B
K
a. 20
c. 5
b. 55
d. 27.5
____ 45. The diagonals are not congruent in which of the following figures?
a. rectangle
c. square
b. rhombus
d. isosceles trapezoid
____ 46. The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of length 4 and
25. What is the length of the altitude to the hypotenuse?
a.
b.
10
16
c.
d.
11
29
9
Name: ________________________
ID: A
____ 47. A 6-ft boy casts a 4-ft shadow. At the same time of day, a flagpole casts a shadow 22 feet long. How tall is
the flagpole?
a. 14.67 feet
c. 30 feet
b. 24 feet
d. 33 feet
____ 48. Which of the following statements cannot be used to prove triangles congruent?
a. SSS
c. SSA
b. ASA
d. SAS
____ 49. In ABC , if mA  45 and mC  68, which side is the longest?
a.
b.
AC
AB
c.
d.
equilateral
BC
____ 50. The measures of four angles of a pentagon are 100 , 105 , 98 , 122 . What is the measure of the fifth angle?
a.
b.
110
125
c.
d.
12
115
90
ID: A
S1 FINAL EXAM REVIEW - GEOMETRY 1 ACCELERATED
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.
D
A
D
B
C
D
D
D
C
A
B
B
D
C
A
D
A
D
B
D
C
A
B
C
C
C
D
A
B
D
B
C
D
C
D
D
D
B
1
ID: A
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
D
A
A
B
C
A
B
A
D
C
B
C
2

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