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3162 Unit 2 Pre-Test
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the image of the figure obtained from the given transformation.
1) Polygon ABCD under the size transformation SP,2
A) B)
C) D)
1)
1
8) The reflection that sends P to P'.
A) B)
C) D)
8)
9) Triangle ABC under the size transformation SP,0.75 9)
8
20) SO,1.5
A) B)
C) D)
20)
Solve the problem.
21) The ratio of the measure of the larger angle to the shorter angle of a golden triangle is the golden
ratio.
A) Yes B) No
21)
19
22) A rotation has sent A to A' and E to E'. Find the image of the given figure.
A) B)
C) D)
22)
23) Describe the figure or polygon produced by interpreting the symbol 5
3 .
A) pentagon B) star polygon
C) triangle D) None of the above
23)
20
24) The slide arrow and line of reflection of a glide reflection are given. Find the point of the grid (Q, R,
S, or T) that is the same as the image P'' of the point P under two successive glide reflections.
A) S B) Q C) T D) R
24)
25) Describe the figure or polygon produced by interpreting the symbol 8
4
A) quadrilateral B) segment
C) star polygon D) None of the above
25)
21
26) The image of a figure is given for a rotation that takes A to A' and D to D'. Find the original figure.
Note again, the given figure is the image after rotation.
A) B)
C) D)
26)
22
28) Shown is the image of a figure under the two successive translations that take P to P' and then P' to
P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First
find the final image of a point if it were translated by both translations. Then what happens in the
reverse process?
A) B)
C) D)
28)
24
30) Find the image of the polygon ABCDEF under the glide reflection that takes A to A' and F to F'.
A) B)
C) D)
30)
26
31) The slide arrow and line of reflection of a glide reflection are given. Find the point of the grid (Q, R,
S, or T) that is the same as the image P'' of the point P under two successive glide reflections.
A) T B) S C) Q D) R
31)
27
32) If the given figure goes through the reflection that sends P to P', followed by the reflection of the
resulting figure that sends P' to P'', find the final image.
A) B)
C) D)
32)
33) Fill in the blank. Golden triangles are __ triangles.
A) equilateral B) isosceles C) right D) 30°-60°-90°
33)
28
34) Find the image of the triangle ABC under the glide reflection that takes A to A' and B to B'.
A) B)
C) D)
34)
35) What is the measure of the dent angle for a star-shaped polygon with 8 points and a point angle of
20°?
A)85
2° B) 115° C) 65° D) 160°
35)
29
36) A rotation has sent A to A' and B to B'. Find the image of the given figure.
A) B)
C) D)
36)
37) What is the measure of the point angle for a star-shaped polygon with 8 points and a dent angle of
130°?
A) 85° B) 50° C)305
2° D)
215
2°
37)
30
38) TAB followed by Mm
A) B)
C) D)
38)
39) What is the measure of the dent angle for a star-shaped polygon 910°?
A) 170° B) 50° C) 130° D) 30°
39)
40) Describe the figure or polygon produced by interpreting the symbol 7
1
A) hexagon B) heptagon
C) star polygon D) None of the above
40)
41) Find the number of degrees in the point angle of a 9
2 star polygon.
A) 200° B) 140°
C) 100° D) None of the above
41)
31
Use Euler's formula to answer the question.
42) A polyhedron has 36 edges and 21 faces. How many vertices does it have?
A) 57 B) 55 C) 14 D) 17
42)
43) A polyhedron has 15 vertices and 31 edges. How many faces does it have?
A) 14 B) 18 C) 12 D) 46
43)
44) A polyhedron has 13 vertices and 21 faces. How many edges does it have?
A) 32 B) 33 C) 36 D) 34
44)
Decide whether the statement is true or false.
45) The following figure can be folded into a cube.
A) False B) True
45)
46) The following figure can be folded into a cube.
A) False B) True
46)
47) The sides of a regular polyhedron, although having to be the same polygon, do not have to be
regular polygons.
A) False B) True
47)
48) A pyramid must have all equilateral triangles for faces for it to have an axis of symmetry.
A) True B) False
48)
49) A regular octahedron is a polyhedron with 9 faces.
A) True B) False
49)
50) An octahedron has twice as many edges as it has vertices.
A) True B) False
50)
51) If the radius of a right circular cylinder is tripled, the surface area is also tripled.
A) True B) False
51)
52) Although the surface area of a sphere may be decreasing, the value of the volume will remain the
same.
A) True B) False
52)
53) In the formula for the volume of a pyramid, the height h is the distance measured along one face of
the pyramid to the base.
A) False B) True
53)
32
Consider these figures:
A. pencil B. pipe C. trophy
Which figure above, if any, is topologically equivalent to the given figure? Identify the topologically equivalent figure
by letter.
54) A coffee cup
A) B B) A C) C D) None of these
54)
55) Swiss cheese
A) C B) A C) B D) None of these
55)
56) A sponge
A) B B) C C) A D) None of these
56)
57) A stop sign
A) C B) B C) A D) None of these
57)
58) An apple
A) C B) A C) B D) None of these
58)
59) A pretzel
A) C B) B C) A D) None of these
59)
33
60) A brick
A) B B) C C) A D) None of these
60)
61) A light bulb
A) C B) B C) A D) None of these
61)
Describe all symmetries of the figure shown.
62)
A) 2 lines of reflectional symmetry, 180° rotational symmetry
B) 1 line of reflectional symmetry, 180° rotational symmetry
C) 2 lines of reflectional symmetry, 90° rotational symmetry
D) 4 lines of reflectional symmetry, 90° rotational symmetry
62)
63)
A) 4 lines of reflectional symmetry
B) 4 lines of reflectional symmetry, 90° rotational symmetry
C) 2 lines of reflectional symmetry
D) 2 lines of reflectional symmetry, 180° rotational symmetry
63)
34
64)
A) 1 line of reflectional symmetry B) 2 lines of reflectional symmetry
C) 90° rotational symmetry D) 180° rotational symmetry
64)
65)
A) 4 lines of reflectional symmetry
B) 2 lines of reflectional symmetry
C) 2 lines of reflectional symmetry, 180° rotational symmetry
D) 4 lines of reflectional symmetry, 90° rotational symmetry
65)
66)
A) 3 lines of reflectional symmetry
B) 3 lines of reflectional symmetry, 180° rotational symmetry
C) 1 line of reflectional symmetry
D) 1 line of reflectional symmetry, 90° rotational symmetry
66)
67)
A) 1 line of reflectional symmetry
B) 180° rotational symmetry
C) 1 line of reflectional symmetry, 180° rotational symmetry
D) 90° rotational symmetry
67)
35
List the vertex arrangements.
68)
A) 3, 4, 3, 12 B) 3, 12, 3
C) 3, 4, 3, 12 and 3, 12, 3 D) 3, 4, 3, 12 and 3, 12, 4
68)
69)
A) 3, 4, 6, 4 B) 3, 4, 3, 6
C) 3, 4, 3, 6 and 3, 4, 6, 4 D) 3, 4, 6, 4 and 3, 4, 4, 6
69)
Answer the question.
70) What must be true for a pentagon so that it will tessellate a plane?
A) It never tessellates a plane. B) It has one pair of parallel sides.
C) All of its sides must be the same length. D) It must be a regular pentagon.
70)
71) How many different types of semiregular tessellations are there?
A) 5 B) 8 C) 21 D) 3
71)
72) What must be true for a hexagon so that it will tessellate a plane?
A) It has three pairs of parallel sides. B) It must be a regular hexagon.
C) It has one pair of congruent angles. D) All of its sides must be the same length.
72)
73) How many polygon arrangements does a semi-regular tessellation have?
A) Exactly three B) Exactly two or four
C) Exactly two or three D) Exactly four
73)
74) Will any parallelogram tessellate the plane?
A) yes B) no
74)
36
Identify the motion or combination of motions that would produce the image.
75)
A) Reflection B) Translation
C) Glide-reflection D) Rotation
75)
76)
A) Rotation B) Glide-reflection
C) Translation D) Reflection
76)
77)
A) Translation B) Reflection
C) Rotation D) Glide-reflection
77)
78)
A) Glide-reflection B) Reflection
C) Rotation D) Translation
78)
37
Determine whether the figure has the suggested symmetry.
79) 180° rotational symmetry
A) Yes B) No
79)
80) 180° rotational symmetry
A) Yes B) No
80)
81) Reflectional symmetry about L
A) Yes B) No
81)
82) Reflectional symmetry about L
A) Yes B) No
82)
38
83) 90° rotational symmetry
A) Yes B) No
83)
Decide whether the figure shown is a polyhedron.
84)
A) Not a polyhedron B) Polyhedron
84)
85)
A) Not a polyhedron B) Polyhedron
85)
86)
A) Not a polyhedron B) Polyhedron
86)
87)
A) Polyhedron B) Not a polyhedron
87)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Draw a tessellation of the plane using the given figure. There may be more than one correct answer. If the figure does not
tessellate the plane, state this.
88) 88)
39
89) 89)
90) 90)
91) 91)
92) 92)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine if the given regular figures form semiregular tessellations.
93) Pentagon, two triangles, 20-gon
A) Yes B) No
93)
94) Pentagon, hexagon, 15-gon
A) Yes B) No
94)
95) Two triangles, two hexagons
A) No B) Yes
95)
96) Two pentagons, two triangles
A) No B) Yes
96)
97) Square, two octagons
A) No B) Yes
97)
98) Triangle, decagon, 15-gon
A) No B) Yes
98)
99) Two triangles, square, 18-gon
A) Yes B) No
99)
100) Square, hexagon, 12-gon
A) Yes B) No
100)
40
Answer KeyTestname: 3162-UNIT-2-PRETEST
1) BObjective: (11.1) Draw Image of Figure Under Size
Transformation
2) CObjective: (11.1) Draw Image of Figure Under Size
Transformation
3) CObjective: (11.1) Find Image of Figure Under Reflection
4) DObjective: (11.1) Find Image of Figure Under Reflection
5) BObjective: (11.1) Draw Image of Figure Under Size
Transformation
6) DObjective: (11.1) Find Image of Figure Under Rotation
7) AObjective: (11.1) Find Image of Figure Under Reflection
8) CObjective: (11.1) Find Image of Figure Under Reflection
9) AObjective: (11.1) Draw Image of Figure Under Size
Transformation
10) AObjective: (11.1) Find Image of Figure Under Reflection
11) CObjective: (11.1) Find Image of Figure Under Translation
12) DObjective: (11.1) Find Image of Figure Under Translation
13) DObjective: (11.1) Find Image of Figure Under Reflection
14) CObjective: (11.1) Draw Image of Figure Under Size
Transformation
15) AObjective: (11.1) Find Image of Figure Under Rotation
16) DObjective: (11.1) Draw Image of Figure Under Size
Transformation
17) DObjective: (11.1) Draw Image of Figure Under Size
Transformation
18) BObjective: (11.1) Draw Image of Figure Under Size
Transformation
19) BObjective: (11.1) Draw Image of Figure Under Size
Transformation
20) BObjective: (11.1) Draw Image of Figure Under Size
Transformation
21) BObjective: (11.3) Know Concepts: Special Polygons
22) BObjective: (11.1) Know Concepts: Transformations
23) BObjective: (11.3) Know Concepts: Special Polygons
24) DObjective: (11.1) Know Concepts: Transformations
25) BObjective: (11.3) Know Concepts: Special Polygons
26) CObjective: (11.1) Know Concepts: Transformations
27) DObjective: (11.1) Find Image Obtained From
Glide-reflection
28) DObjective: (11.1) Know Concepts: Transformations
29) DObjective: (11.1) Find Image Obtained From
Glide-reflection
30) BObjective: (11.1) Find Image Obtained From
Glide-reflection
31) BObjective: (11.1) Know Concepts: Transformations
32) CObjective: (11.1) Know Concepts: Transformations
33) BObjective: (11.3) Know Concepts: Special Polygons
34) AObjective: (11.1) Find Image Obtained From
Glide-reflection
35) CObjective: (11.3) Know Concepts: Special Polygons
36) BObjective: (11.1) Know Concepts: Transformations
37) AObjective: (11.3) Know Concepts: Special Polygons
38) AObjective: (11.1) Find Image Obtained From
Glide-reflection
39) BObjective: (11.3) Know Concepts: Special Polygons
40) BObjective: (11.3) Know Concepts: Special Polygons
1
Answer KeyTestname: 3162-UNIT-2-PRETEST
41) CObjective: (11.3) Know Concepts: Special Polygons
42) DObjective: (11.4) Use Euler's Formula for Polyhedra
43) BObjective: (11.4) Use Euler's Formula for Polyhedra
44) AObjective: (11.4) Use Euler's Formula for Polyhedra
45) AObjective: (11.4) Know Concepts: Three-Dimensional
Figures
46) BObjective: (11.4) Know Concepts: Three-Dimensional
Figures
47) AObjective: (11.4) Know Concepts: Three-Dimensional
Figures
48) BObjective: (11.4) Know Concepts: Three-Dimensional
Figures
49) BObjective: (11.4) Know Concepts: Three-Dimensional
Figures
50) AObjective: (11.4) Know Concepts: Three-Dimensional
Figures
51) BObjective: (11.4) Know Concepts: Three-Dimensional
Figures
52) BObjective: (11.4) Know Concepts: Three-Dimensional
Figures
53) AObjective: (11.4) Know Concepts: Three-Dimensional
Figures
54) AObjective: (11.1) Identify Topologically Equivalent
Figures
55) DObjective: (11.1) Identify Topologically Equivalent
Figures
56) DObjective: (11.1) Identify Topologically Equivalent
Figures
57) CObjective: (11.1) Identify Topologically Equivalent
Figures
58) BObjective: (11.1) Identify Topologically Equivalent
Figures
59) AObjective: (11.1) Identify Topologically Equivalent
Figures
60) CObjective: (11.1) Identify Topologically Equivalent
Figures
61) CObjective: (11.1) Identify Topologically Equivalent
Figures
62) AObjective: (11.1) Describe Symmetries of Figure
63) DObjective: (11.1) Describe Symmetries of Figure
64) AObjective: (11.1) Describe Symmetries of Figure
65) DObjective: (11.1) Describe Symmetries of Figure
66) CObjective: (11.1) Describe Symmetries of Figure
67) BObjective: (11.1) Describe Symmetries of Figure
68) CObjective: (11.2) List Vertex Arrangements
69) AObjective: (11.2) List Vertex Arrangements
70) BObjective: (11.2) *Know Concepts: Geometric Patterns
71) BObjective: (11.2) *Know Concepts: Geometric Patterns
72) AObjective: (11.2) *Know Concepts: Geometric Patterns
73) CObjective: (11.2) *Know Concepts: Geometric Patterns
74) BObjective: (11.2) *Know Concepts: Geometric Patterns
75) CObjective: (11.1) Identify Motion
76) DObjective: (11.1) Identify Motion
77) CObjective: (11.1) Identify Motion
78) DObjective: (11.1) Identify Motion
79) AObjective: (11.1) Identify Symmetry
2
Answer KeyTestname: 3162-UNIT-2-PRETEST
80) AObjective: (11.1) Identify Symmetry
81) BObjective: (11.1) Identify Symmetry
82) BObjective: (11.1) Identify Symmetry
83) BObjective: (11.1) Identify Symmetry
84) AObjective: (11.4) Determine If Solid Is A Polyhedron
85) AObjective: (11.4) Determine If Solid Is A Polyhedron
86) AObjective: (11.4) Determine If Solid Is A Polyhedron
87) AObjective: (11.4) Determine If Solid Is A Polyhedron
88) The figure does not tessellate the plane.Objective: (11.2) Tessellate Plane with Figure
89) The figure does not tessellate the plane.Objective: (11.2) Tessellate Plane with Figure
90)
Objective: (11.2) Tessellate Plane with Figure
91)
Objective: (11.2) Tessellate Plane with Figure
92)
Objective: (11.2) Tessellate Plane with Figure
93) BObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
94) BObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
95) BObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
96) AObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
97) BObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
98) BObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
99) BObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
100) AObjective: (11.2) Determine If Polygons Form Semiregular
Tessellations
3