Download Geometry Second Semester Final

2nd Semester Geometry Final Review #1
8) A square has side length equal to 5 inches. What is the length of
the diagonal of the square?
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A. 50 inches
B. 10 inches
1) The polygon below is :
C. 2 5
D. 5 2
9) A can holds 12 ounces of water. If the dimensions of the can are
tripled, how much water will the new can hold?
A. 12 ounces
C. 108 ounces
A. A quadrilateral
C. Regular
B. Non-convex
D. Similar
2) If a polygon is convex, then the sum of the degree measures of the
exterior angles is :
A. 180(n - 2)
C. 180
B. 360
D. 180(n - 2)
n
3) In a right triangle, the side opposite the right angle is the :
A. Hypotenuse
C. Hypothesis
B. Shorter leg
D. Longer leg
4) Use the triangle below to find AB if
Tan A = 4 / 3
A
B
8
A. 32 / 3
C. 6
5) The sum of the degree measure of the interior angles of an octagon
is :
B. 1080
D. 180
6) In right triangle ABC with right angle C,
BC is :
AB
A
B
C
A. Sin A
C. Sin B
10) Find the measure of one interior angle of a regular pentagon.
A. 180º
C. 108º
B. 54º
D. 540º
11) Which of the following is NOT a requirement of a polygon:
A.
B.
C.
D.
Sides are straight
Sides do not cross
Each interior angle is less than 180º
Forms a closed region
12) In right triangle ABC with right angle C,
BC is :
AC
A
C
B. 4 / 5
D. 4
A. 1440
C. 360
B. 36 ounces
D. 324 ounces
B. Tan A
D. Tan B
7) In the figure below, A is the center of the hexagon and the area of
triangle ABC = 5. Find the area of the hexagon.
A. Sin A
C. Sin B
B. Tan A
D. Tan B
13) Given a regular hexagon with sides of length 8. Find the area to
two decimal places.
A. 27.71
C. 16
3
B. 138.56
D.
96
3
14) Which of the following is a property of a rhombus:
A.
B.
C.
D.
The diagonals are congruent
The diagonals are perpendicular
All of the angles are 90º
It has 5 sides
15) What is the area of a 45-45-90 right triangle whose hypotenuse is
30 ft?
A. 225 square ft
C. 112.5 square ft
B. 450 square ft
D. none of these
16) A triangle has sides of 6, 4, and 7. The shortest side of a similar
triangle is 12. What is the perimeter of the second triangle?
A. 17
C. 51
A
B
C
B. 34
D. 68
17) Find the measure of one exterior angle of a regular hexagon.
B
A. 30
C. 25
C
B. 60
D. 35
A. 360º
C. 120º
B. 60º
D. 180º
18) The length of a diagonal of a square is 20. The length of a side of
the square is :
26) Two similar pyramids have heights of
4 cm and 9 cm. What is the ratio of their volumes?
A. 10 2
B. 2 5
A. 2 to 3
C. 16 to 81
C. 2 2
D. 5 2
19) A radio tower is 60 feet tall and makes a shadow 50 feet long.
How long is a support wire that stretches from the top of the tower to
the end of the shadow?
A. 78 feet
C. 48 feet
B. 4 to 9
D. 64 to 729
27) The sum of the measures of the interior angles of a quadrilateral
is ______.
A. 90º
C. 360º
B. 180º
D. 720º
B. 108 feet
D. 88 feet
20) The length of the hypotenuse of a given 30-60-90 triangle is 9.
The length of the longer leg of the triangle is :
A. 4.5
B. 9 3
C. 4.5 2
D. 4.5 3
Use this diagram for #28-29
9
Use the figure below to answer questions 22 and 23
114
36
6
8
X
Y
21) Find X
A. 82.8
C. 67.0
B. 92.2
D. None of these
28. What is the volume area of the triangular based prism above?
a) 432 cubic units
b) 216 cubic units
c) 264 cubic units
d) 364 cubic units
22) Find Y
23) Which of the following is NOT a parallelogram:
29.What is the surface area of the triangular based prism above?
a) 432 square units
b) 216 square units
c) 264 square units
d) 364 square units
A. Trapezoid
C. Rhombus
Use this diagram for #30-31. Answer in pi form!
A. 193.9
C. 156.9
B. 140.9
D. None of these
B. Rectangle
D. Square
24) Find the area of an equilateral triangle with sides of 6.
A. 18
B. 9 3
C. 36
D. 6 3
25) Find the area of the figure given below
B
x
O
A
30. Find the area of the sector if OA = 4 and x = 150°.
8
5
11
A. 48
C. 38
B. 9.5 34
D. 40
31. Find the length of arc AB if OA = 5 and x = 140°.