3162 unit 2 pre test name - valdosta state universitymypages.valdosta.edu/plmoch/math3162/spring...

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

A) B)

C) D)

2)

2

3) Mm

A) B)

C) D)

3)

3

4) Mm

A) B)

C) D)

4)

5) Polygon ABCD under the size transformation SO,2/3 5)

4

A) B)

C) D)

5

6) RP,-90°

A) B)

C) D)

6)

6

7) The reflection that sends P to P'.

A) B)

C) D)

7)

7


A) B)

C) D)

8)

9) Triangle ABC under the size transformation SP,0.75 9)

8

A) B)

C) D)

9


A) B)

C) D)

10)

10

11) TAB

A) B)

C) D)

11)

11

12) TMN

A) B)

C) D)

12)

12

13) Mm followed by Mn

A) B)

C) D)

13)

14) SP,3/5 14)

13

A) B)

C) D)

14

15) RP,90°

A) B)

C) D)

15)

16) Triangle ABC under the size transformation SP,0.25 16)

15

A) B)

C) D)

17) Polygon ABCD under the size transformation SP,1/3

A) B)

17)

16

C) D)

18) Rectangle ABCD under the size transformation SO,1.5

A) B)

C) D)

18)

17

19) Triangle ABC under the size transformation SO,3

A) B)

C) D)

19)

18

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)


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

27) TAB followed by Mm

A) B)

C) D)

27)

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)

28)

24


A) B)

C) D)

29)

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)

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


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)


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


59)

33

60) A brick

A) B B) C C) A D) None of these

60)

61) A light bulb


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


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)


B) 2 lines of reflectional symmetry

C) 2 lines of reflectional symmetry, 180° rotational symmetry


65)

66)


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)


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


A) Yes B) No

83)

Decide whether the figure shown is a polyhedron.

84)

A) Not a polyhedron B) Polyhedron

84)

85)


85)

86)


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


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


Transformation


Transformation


Transformation

21) BObjective: (11.3) Know Concepts: Special Polygons

22) BObjective: (11.1) Know Concepts: Transformations


24) DObjective: (11.1) Know Concepts: Transformations


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


32) CObjective: (11.1) Know Concepts: Transformations


34) AObjective: (11.1) Find Image Obtained From

Glide-reflection

35) CObjective: (11.3) Know Concepts: Special Polygons


37) AObjective: (11.3) Know Concepts: Special Polygons

38) AObjective: (11.1) Find Image Obtained From

Glide-reflection



1


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


Figures


Figures


Figures


Figures


Figures


Figures


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


Figures


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


72) AObjective: (11.2) *Know Concepts: Geometric Patterns

73) CObjective: (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


80) AObjective: (11.1) Identify Symmetry

81) BObjective: (11.1) Identify Symmetry



84) 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)


92)


93) BObjective: (11.2) Determine If Polygons Form Semiregular

Tessellations


Tessellations


Tessellations

96) AObjective: (11.2) Determine If Polygons Form Semiregular

Tessellations


Tessellations


Tessellations


Tessellations

100) AObjective: (11.2) Determine If Polygons Form Semiregular

Tessellations

3

3162 unit 2 pre test name - valdosta state universitymypages.valdosta.edu/plmoch/math3162/spring...

Documents