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)
2) Polygon ABCDE under the size transformation SP,5/4
2)
A)
B)
C)
D)
2
3) Mm
3)
A)
B)
C)
D)
3
4) Mm
4)
A)
B)
C)
D)
5) Polygon ABCD under the size transformation SO,2/3
4
5)
A)
B)
C)
D)
5
6) RP,-90°
6)
A)
B)
C)
D)
6
7) The reflection that sends P to P'.
7)
A)
B)
C)
D)
7
8) The reflection that sends P to P'.
8)
A)
B)
C)
D)
9) Triangle ABC under the size transformation SP,0.75
9)
8
A)
B)
C)
D)
9
10) The reflection that sends P to P'.
10)
A)
B)
C)
D)
10
11) TAB
11)
A)
B)
C)
D)
11
12) TMN
12)
A)
B)
C)
D)
12
13) Mm followed by Mn
13)
A)
B)
C)
D)
14) SP,3/5
14)
13
A)
B)
C)
D)
14
15) RP,90°
15)
A)
B)
C)
D)
16) Triangle ABC under the size transformation SP,0.25
15
16)
A)
B)
C)
D)
17) Polygon ABCD under the size transformation SP,1/3
A)
17)
B)
16
C)
D)
18) Rectangle ABCD under the size transformation SO,1.5
18)
A)
B)
C)
D)
17
19) Triangle ABC under the size transformation SO,3
19)
A)
B)
C)
D)
18
20) SO,1.5
20)
A)
B)
C)
D)
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
19
21)
22) A rotation has sent A to A' and E to E'. Find the image of the given figure.
A)
B)
C)
D)
23) Describe the figure or polygon produced by interpreting the symbol
A) pentagon
C) triangle
5
.
3
B) star polygon
D) None of the above
20
22)
23)
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
25) Describe the figure or polygon produced by interpreting the symbol
A) quadrilateral
C) star polygon
D) R
8
4
B) segment
D) None of the above
21
24)
25)
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)
22
26)
27) TAB followed by Mm
27)
A)
B)
C)
D)
23
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)
24
28)
29) TAB followed by Mm
29)
A)
B)
C)
D)
25
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)
26
30)
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
27
D) R
31)
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)
33) Fill in the blank. Golden triangles are __ triangles.
A) equilateral
B) isosceles
32)
33)
C) right
28
D) 30°-60°-90°
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)
35) What is the measure of the dent angle for a star-shaped polygon with 8 points and a point angle of
20°?
85
A)
°
B) 115°
C) 65°
D) 160°
2
29
34)
35)
36) A rotation has sent A to A' and B to B'. Find the image of the given figure.
A)
B)
C)
D)
37) What is the measure of the point angle for a star-shaped polygon with 8 points and a dent angle of
130°?
305
215
A) 85°
B) 50°
C)
°
D)
°
2
2
30
36)
37)
38) TAB followed by Mm
38)
A)
B)
C)
D)
39) What is the measure of the dent angle for a star-shaped polygon 9 10°?
A) 170°
B) 50°
C) 130°
40) Describe the figure or polygon produced by interpreting the symbol
A) hexagon
C) star polygon
41) Find the number of degrees in the point angle of a
39)
D) 30°
7
1
40)
B) heptagon
D) None of the above
9
star polygon.
2
A) 200°
C) 100°
B) 140°
D) None of the above
31
41)
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
43) A polyhedron has 15 vertices and 31 edges. How many faces does it have?
A) 14
B) 18
C) 12
D) 46
44) A polyhedron has 13 vertices and 21 faces. How many edges does it have?
A) 32
B) 33
C) 36
42)
43)
44)
D) 34
Decide whether the statement is true or false.
45) The following figure can be folded into a cube.
45)
A) False
B) True
46) The following figure can be folded into a cube.
46)
A) False
B) True
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
49)
B) False
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
54)
A) B
B) A
C) C
D) None of these
55) Swiss cheese
A) C
55)
B) A
C) B
D) None of these
56) A sponge
A) B
56)
B) C
C) A
D) None of these
57) A stop sign
A) C
57)
B) B
C) A
D) None of these
58) An apple
A) C
58)
B) A
C) B
D) None of these
59) A pretzel
A) C
59)
B) B
C) A
33
D) None of these
60) A brick
A) B
60)
B) C
C) A
D) None of these
61) A light bulb
A) C
61)
B) B
C) A
Describe all symmetries of the figure shown.
62)
D) None of these
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
63)
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
34
64)
64)
A) 1 line of reflectional symmetry
C) 90° rotational symmetry
B) 2 lines of reflectional symmetry
D) 180° rotational symmetry
65)
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
66)
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
67)
67)
A) 1 line of reflectional symmetry
B) 180° rotational symmetry
C) 1 line of reflectional symmetry, 180° rotational symmetry
D) 90° rotational symmetry
35
List the vertex arrangements.
68)
68)
A) 3, 4, 3, 12
C) 3, 4, 3, 12 and 3, 12, 3
B) 3, 12, 3
D) 3, 4, 3, 12 and 3, 12, 4
69)
69)
A) 3, 4, 6, 4
C) 3, 4, 3, 6 and 3, 4, 6, 4
B) 3, 4, 3, 6
D) 3, 4, 6, 4 and 3, 4, 4, 6
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.
71) How many different types of semiregular tessellations are there?
A) 5
B) 8
C) 21
70)
71)
D) 3
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
74)
B) no
36
Identify the motion or combination of motions that would produce the image.
75)
A) Reflection
C) Glide-reflection
75)
B) Translation
D) Rotation
76)
76)
A) Rotation
C) Translation
B) Glide-reflection
D) Reflection
77)
77)
A) Translation
C) Rotation
B) Reflection
D) Glide-reflection
78)
78)
A) Glide-reflection
C) Rotation
B) Reflection
D) Translation
37
Determine whether the figure has the suggested symmetry.
79) 180° rotational symmetry
79)
A) Yes
B) No
80) 180° rotational symmetry
80)
A) Yes
B) No
81) Reflectional symmetry about L
81)
A) Yes
B) No
82) Reflectional symmetry about L
82)
A) Yes
B) No
38
83) 90° rotational symmetry
83)
A) Yes
B) No
Decide whether the figure shown is a polyhedron.
84)
84)
A) Not a polyhedron
B) Polyhedron
85)
85)
A) Not a polyhedron
B) Polyhedron
86)
86)
A) Not a polyhedron
B) Polyhedron
87)
87)
A) Polyhedron
B) Not a polyhedron
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
94) Pentagon, hexagon, 15-gon
A) Yes
93)
94)
B) No
95) Two triangles, two hexagons
A) No
95)
B) Yes
96) Two pentagons, two triangles
A) No
B) Yes
97) Square, two octagons
A) No
B) Yes
96)
97)
98) Triangle, decagon, 15-gon
A) No
98)
B) Yes
99) Two triangles, square, 18-gon
A) Yes
B) No
99)
100) Square, hexagon, 12-gon
A) Yes
100)
B) No
40
Answer Key
Testname: 3162-UNIT-2-PRETEST
1) B
20) B
Objective: (11.1) Draw Image of Figure Under Size
Transformation
Objective: (11.1) Draw Image of Figure Under Size
Transformation
2) C
21) B
Objective: (11.1) Draw Image of Figure Under Size
Transformation
Objective: (11.3) Know Concepts: Special Polygons
22) B
3) C
Objective: (11.1) Know Concepts: Transformations
Objective: (11.1) Find Image of Figure Under Reflection
23) B
4) D
Objective: (11.3) Know Concepts: Special Polygons
Objective: (11.1) Find Image of Figure Under Reflection
24) D
5) B
Objective: (11.1) Know Concepts: Transformations
Objective: (11.1) Draw Image of Figure Under Size
Transformation
25) B
Objective: (11.3) Know Concepts: Special Polygons
6) D
26) C
Objective: (11.1) Find Image of Figure Under Rotation
Objective: (11.1) Know Concepts: Transformations
7) A
27) D
Objective: (11.1) Find Image of Figure Under Reflection
Objective: (11.1) Find Image Obtained From
Glide-reflection
8) C
Objective: (11.1) Find Image of Figure Under Reflection
28) D
9) A
Objective: (11.1) Know Concepts: Transformations
Objective: (11.1) Draw Image of Figure Under Size
Transformation
29) D
Objective: (11.1) Find Image Obtained From
Glide-reflection
10) A
Objective: (11.1) Find Image of Figure Under Reflection
30) B
11) C
Objective: (11.1) Find Image Obtained From
Glide-reflection
Objective: (11.1) Find Image of Figure Under Translation
12) D
31) B
Objective: (11.1) Find Image of Figure Under Translation
Objective: (11.1) Know Concepts: Transformations
13) D
32) C
Objective: (11.1) Find Image of Figure Under Reflection
Objective: (11.1) Know Concepts: Transformations
14) C
33) B
Objective: (11.1) Draw Image of Figure Under Size
Transformation
Objective: (11.3) Know Concepts: Special Polygons
34) A
15) A
Objective: (11.1) Find Image Obtained From
Glide-reflection
Objective: (11.1) Find Image of Figure Under Rotation
16) D
35) C
Objective: (11.1) Draw Image of Figure Under Size
Transformation
Objective: (11.3) Know Concepts: Special Polygons
36) B
17) D
Objective: (11.1) Know Concepts: Transformations
Objective: (11.1) Draw Image of Figure Under Size
Transformation
37) A
Objective: (11.3) Know Concepts: Special Polygons
18) B
38) A
Objective: (11.1) Draw Image of Figure Under Size
Transformation
Objective: (11.1) Find Image Obtained From
Glide-reflection
19) B
39) B
Objective: (11.1) Draw Image of Figure Under Size
Transformation
Objective: (11.3) Know Concepts: Special Polygons
40) B
Objective: (11.3) Know Concepts: Special Polygons
1
Answer Key
Testname: 3162-UNIT-2-PRETEST
41) C
58) B
Objective: (11.3) Know Concepts: Special Polygons
Objective: (11.1) Identify Topologically Equivalent
Figures
42) D
59) A
Objective: (11.4) Use Euler's Formula for Polyhedra
Objective: (11.1) Identify Topologically Equivalent
Figures
43) B
Objective: (11.4) Use Euler's Formula for Polyhedra
60) C
44) A
Objective: (11.1) Identify Topologically Equivalent
Figures
Objective: (11.4) Use Euler's Formula for Polyhedra
45) A
61) C
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
Objective: (11.1) Identify Topologically Equivalent
Figures
46) B
62) A
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
Objective: (11.1) Describe Symmetries of Figure
63) D
47) A
Objective: (11.1) Describe Symmetries of Figure
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
64) A
Objective: (11.1) Describe Symmetries of Figure
48) B
65) D
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
Objective: (11.1) Describe Symmetries of Figure
66) C
49) B
Objective: (11.1) Describe Symmetries of Figure
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
67) B
Objective: (11.1) Describe Symmetries of Figure
50) A
68) C
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
Objective: (11.2) List Vertex Arrangements
51) B
69) A
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
Objective: (11.2) List Vertex Arrangements
70) B
52) B
Objective: (11.2) *Know Concepts: Geometric Patterns
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
71) B
Objective: (11.2) *Know Concepts: Geometric Patterns
53) A
72) A
Objective: (11.4) Know Concepts: Three-Dimensional
Figures
Objective: (11.2) *Know Concepts: Geometric Patterns
73) C
54) A
Objective: (11.2) *Know Concepts: Geometric Patterns
Objective: (11.1) Identify Topologically Equivalent
Figures
74) B
Objective: (11.2) *Know Concepts: Geometric Patterns
55) D
75) C
Objective: (11.1) Identify Topologically Equivalent
Figures
Objective: (11.1) Identify Motion
76) D
56) D
Objective: (11.1) Identify Motion
Objective: (11.1) Identify Topologically Equivalent
Figures
77) C
Objective: (11.1) Identify Motion
57) C
78) D
Objective: (11.1) Identify Topologically Equivalent
Figures
Objective: (11.1) Identify Motion
79) A
Objective: (11.1) Identify Symmetry
2
Answer Key
Testname: 3162-UNIT-2-PRETEST
80) A
92)
Objective: (11.1) Identify Symmetry
81) B
Objective: (11.1) Identify Symmetry
82) B
Objective: (11.1) Identify Symmetry
83) B
Objective: (11.1) Identify Symmetry
84) A
Objective: (11.4) Determine If Solid Is A Polyhedron
85) A
Objective: (11.4) Determine If Solid Is A Polyhedron
Objective: (11.2) Tessellate Plane with Figure
86) A
93) B
Objective: (11.4) Determine If Solid Is A Polyhedron
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
87) A
Objective: (11.4) Determine If Solid Is A Polyhedron
94) B
88) The figure does not tessellate the plane.
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
Objective: (11.2) Tessellate Plane with Figure
89) The figure does not tessellate the plane.
95) B
Objective: (11.2) Tessellate Plane with Figure
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
90)
96) A
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
97) B
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
98) B
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
99) B
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
Objective: (11.2) Tessellate Plane with Figure
100) A
91)
Objective: (11.2) Determine If Polygons Form Semiregular
Tessellations
Objective: (11.2) Tessellate Plane with Figure
3