Geometry
2nd Semester Exam Review
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Chapter
9 Review
1) Draw a right triangular prism in the space at the right.
2) Draw an oblique cylinder in the space at the right.
3) Draw an oblique cone in the space at the right.
4) Draw a right regular triangular pyramid in the space at the right.
5) Draw a plane perpendicular to a line in the space at the right.
6) Draw two parallel planes in the space at the right.
7) The figure to the right is a right pentagonal pyramid.
a. How many lateral faces does it have?
b. What is the shape of each lateral face?
c. How many bases does it have?
d. How many edges does it have?
8) In the right cone to the right,
a. the length of which segment is the slant height of the cone?
b. the length of which segment is the height of the cone?
9) Use the truncated rectangular pyramid to the right.
a. Sketch a plane section parallel to thebases.
b. Name the shape of the section you drew in Part a as precisely as possible.
10) Use the truncated cone to the right.
a. Sketch a plane section that is not parallel to thebases, and passes through the figure withoutintersecting either base.
b. Name the shape of the section you drew inPart a as precisely as possible.
11) Draw a sphere with radius 1.7 cm. Sketch a small circle of the sphere.
12) As precisely as possible, name the shape of any plane section parallel to the base of a regular triangular pyramid.
13) Draw the specified views of the regular pentagonal pyramid below.
a. top b. front c. side
14) Draw the specified views of the drinking cup below.
a. front b. side c. top
15) For the regular square pyramid, AX = 48 and XY = 14.
a. Find the slant height of the pyramid.
b. Find the area of one lateral face.
16) For the oblique cylinder, XZ = 20, YW = 17, and WZ = 5.
a. Find the area of the base of the cylinder.
b. Find the height of the cylinder.
ART NOT TO SCALE
17) The radius of a sphere is 10 cm. Give the circumference of a great circle to the nearest
centimeter.
18) Give as specific a name as possible to the surface studied in this chapter with these views.
19) Below are the front, side, and top views of a building.
a. How tall (in stories) is the building?
b. How long (in sections) is the building from front to back?
c. Where is the tallest part of the building located?
20) True or false If two planes are perpendicular to the same line, then the planes are parallel.
21) The figure at the right is a regular octagonal prism.
a. Does the figure have reflection symmetry?
b. How many symmetry planes does the figure have?
22) Multiple choice If a line is perpendicular to at least ? line(s) in a plane, then the line is
perpendicular to the plane.
A) two B) one C) three D) four
23) Which three-dimensional figure most resembles an unsharpened pencil without an eraser? Be as specific as possible, distinguishing it as a solid or a surface.
24) Which three-dimensional figure most resembles a can? Be as specific as possible,
distinguishing it as a solid or a surface.
25) In the space at the right, draw a map with eight regions that requires four colors to
be colored.
26) Multiple choice What is the least number of colors needed to color the map below?
A) 5 B) 2 C) 4 D) 3
27) Draw a net for a regular square pyramid.
28) As specifically as possible, name the figure that would be formed from the net below.
29) Given the net to the right, if the radius of the circle is 10,
a. find the exact circumference of the circle.
b. find ZW to the nearest unit.
30) True or false A Mercator projection is a very accurate picture of the world.
31) Multiple choice A Mercator-projection map is made by projecting the surface of the earth
onto which figure?
A) cone B) sphere C) right octagonal prism D) cylinder
32) Draw a net for a right cone.
Chapter 9 Review Answers
1) Answer: Sample:
2) Answer: Sample:
3) Answer: Sample:
4) Answer: Sample:
5) Answer: Sample:
6) Answer: Sample:
7) Answer: a. 5
b. isosceles triangle
c. 1
d. 10
8) Answer: a. overbar(AB)
b. overbar(AO)
9) Answer: a. Sample:
b. rectangle
10) Answer: a. Sample:
b. ellipse
11) Answer:
12) Answer: equilateral triangle
13) Answer:
14) Answer:
15) Answer: a. 50 units
b. 700 units2
16) Answer: a. 25p » 78.54 units2
b. 16 units
17) Answer: 63 cm
18) Answer: right cone
19) Answer: a. 3
b. 2
c. back left section
20) Answer: true
21) Answer: a. Yes
b. 9
22) Answer: A
23) Answer: right cylinder or regular hexagonal prism, solid
24) Answer: right cylinder, surface
25) Answer: Sample:
26) Answer: D
27) Answer: Sample:
28) Answer: regular pentagonal prism
29) Answer: a. 20p units
b. 63 units
30) Answer: false
31) Answer: D
32) Answer: Sample:
