Take Test: Midterm Exam
Test Information
Description 25 questions, each worth 4 points. Some partial credit may be awarded for the short essay questions. Due Tuesday at midnight.
You may consult any documents in this course and the internet, but no other people, including your classmates.
It may be best to print out the test and work on it the old-fashioned way. You can only submit the test once, so make sure you’ve thought things through before clicking “SUBMIT”. Note that you can exit the test and resume working on it later, you just can’t submit it more than once.
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QUESTION 1
4 points
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The central angle of an n-sided regular polygon is given by 360/n. See the figure for the central angle of a regular hexagon. It measures 360/6 = 60 degrees. If the central angle of a regular polygon is 45 degrees, what is the sum of the vertex angles of that polygon?
A. 135 B. 180 C. 1080 D. 360 E. 1350
If the polygon is regular and one of the vertex angles is 170 degrees, how many sides must it have?
QUESTION 2
4 points
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A. 10 B. 18 C. 24 D
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D. 36
E.
None of these options
QUESTION 3
Assuming that the side of the small square is 1 in the tangram puzzle, what is the area of one of the big triangles? Hint: You may have to google Pythagoras.
A.1 B.2 C.4 D.8
E. None of these options
4 points
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QUESTION 4
Related to regular polygons are regular stars. They are formed from equally spaced points on a circle, but instead of connecting adjacent points as in regular polygons, we connect every second point, or every third point or so on. The pentagram is a 5-point regular star where every second point is connected. Which option best describes the regular star below?
A. 12-point star connecting every fifth point B. 12-point star connecting every sixth point
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C.24-point star connecting every fifth point
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D. 24-point star connecting every sixth point E. None of these options
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QUESTION 5
How many regular and semiregular tilings are there altogether? A.3
B.8
C. 11
D. 17
E. Infinitely many
4 points
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QUESTION 6
4 points
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What is the name of the tiling above? A. 4.6.12
B. 3.12.12
C. 5.5.10
D. 6.12.15
E. None of these options
QUESTION 7
Explain the difference between a regular tiling and a semiregular tiling.
Paragraph Arial 3 (12pt)
4 points
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QUESTION 8
Explain why it is impossible to tile a plane with the following polygons located at each vertex: a regular hexagon, a square, and three equilateral triangles.
Paragraph Arial 3 (12pt)
4 points
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Path: p Words:0
QUESTION 9
True or False: A dual tiling is always a regular tiling. True
False
4 points
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QUESTION 10
The dual tiling of 3.3.3.4.4 consists of A. Equilateral triangles
B. Squares
C.Irregular quadrilaterals D. Regular pentagons
E. Irregular pentagons
4 points
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QUESTION 11
Which one of the following angles is an angle in the dual tiling of 4.8.8?
A. 24
B. 30
C. 36
D. 45
E. None of these options
4 points
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QUESTION 12
If you’re walking on a beach, leaving footprints as you go, which
isometry would describe the pattern of those prints the best?
4 points
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A. Translation
B. Reflection
C. Rotation
D. Glide reflection
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QUESTION 13
True or False: All quadrilaterals have reflectional symmetry True
False
4 points
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QUESTION 14
The rosette group of a square is A. D1
B. D2
C. C4
D. D4
E. None of these options
4 points
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QUESTION 15
What is the smallest angle you must rotate a C6 rosette pattern before it re-aligns with itself?
A.6 B. 30 C. 36 D. 60 E. 120
4 points
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QUESTION 16
What is the rosette group of the above design? A. C2
B. D2
C. C3
D. D3
E. None of these options
4 points
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CQliUckESSaTveIOanNd S1u7bmit to save and submit. Click Save All Answers to save all answSearvse. Answer
4 points
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What is the rosette group of the crop circle above? A. C3
B. D6
C. C7
D. D12
E. None of these options
QUESTION 18
Consider the 26 ‘stick’ letters as seen above: What is the most common rosette group for these letters?
A. C1
B. D1
C. C2
D. D2
E. None of these options
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QUESTION 19
How many elements are in the rosette group D6?. A.3
B.6 C. 12
D. 36
E. None of these options
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QUESTION 20
If you are holding an object that exhibits D3 symmetry (such as an equilateral triangle) and do the following to it: “Rotate once, then flip, then rotate twice, then flip, then rotate once more” with which of the elements of D3 would you end up?
4 points
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A.1
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B.R C.F D. RF
E
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E. None of these options
QUESTION 21
Identify the frieze pattern above: A. 11
B. m1 C. 1m D. mm E. 12 F. 1g G. mg
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QUESTION 22
Identify the frieze pattern above: A. 11
B. m1 C. 1m D. mm E. 12 F. 1g G. mg
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QUESTION 23
Identify the frieze pattern above (pandas): A. 11
B. m1 C. 1m D. mm E. 12
4 points
F. 1g
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G. mg
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QUESTION 24 4 points Save Answer
QU S O p SaveAnswer
Identify the frieze pattern above: A. 11
B. m1 C. 1m D. mm E. 12 F. 1g G. mg
QUESTION 25
If you write “AMMA” repeatedly on one line in stick letters, which frieze pattern does that produce?
A. 11 B. m1 C. 1m D. mm E. 12 F. 1g G. mg
4 points
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