Chat with AIExam 18: Symmetry
Exam 1: Reasoning About Quantities34 Questions
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Exam 4: Some Conventional Ways of Computing17 Questions
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Exam 12: What Is Algebra28 Questions
Exam 13: A Quantitative Approach to Algebra and Graphing18 Questions
Exam 14: Understanding Change: Relationships Among Time, Distance, and Rate10 Questions
Exam 15: Further Topics in Algebra and Change55 Questions
Exam 16: Polygons75 Questions
Exam 17: Polyhedra51 Questions
Exam 18: Symmetry17 Questions
Exam 19: Tessellations9 Questions
Exam 20: Similarity47 Questions
Exam 21: Curves, Constructions, and Curved Surfaces17 Questions
Exam 22: Transformation Geometry24 Questions
Exam 23: Measurement Basics21 Questions
Exam 24: Area, Surface Area, and Volume27 Questions
Exam 25: Counting Units Fast: Measurement Formulas31 Questions
Exam 26: Special Topics in Measurement21 Questions
Exam 27: Quantifying Uncertainty39 Questions
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Exam 29: Introduction to Statistics and Sampling7 Questions
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Add to the picture so that it has a rotational symmetry. Show the center of rotation. 
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(Short Answer)
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(34) Correct Answer:
Verified
VerifiedThe drawing should have a rotational symmetry with the center highlighted.
Sketch a regular triangle and mark all lines of reflection symmetry.
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(Short Answer)
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(35) Correct Answer:Verified
VerifiedThe drawing should show an equilateral triangle with three reflection lines.
Determine the SMALLEST positive amount of the turn (in degrees) for the rotational symmetries in each figure.
A)
B)
C)
B)
C)
Free
(Short Answer)
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(32) Correct Answer:Verified
VerifiedA) 72°
B) 360°
C) 90°
A) Add to the following design so that it has a reflection symmetry. Draw in the line of symmetry. 
B) Now add to the original design so that it has a rotational symmetry. Show the center of rotation.
B) Now add to the original design so that it has a rotational symmetry. Show the center of rotation.
(Short Answer)
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(34) Consider the following right regular hexagonal prism. 
A) How many reflection symmetries does the figure have?
B) How many rotational symmetries does the figure have?
A) How many reflection symmetries does the figure have?
B) How many rotational symmetries does the figure have? (Short Answer)
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(31) For each figure, draw in all lines of reflection symmetry. If the figure has no lines of symmetry, write "none."
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B)
C)
B)
C)
(Essay)
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(39) Complete the following sentences.
A) A regular 90-gon has a total of _____ rotational symmetries.
B) A regular 90-gon has a total of _____ reflection symmetries.
C) The smallest positive rotational symmetry of a regular 90-gon would have _____ degrees.
(Short Answer)
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(27) The polyhedron below has exactly one plane of reflection symmetry and one line of rotational symmetry. 
(True/False)
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(27) A) How many reflection symmetries does every right prism have if its bases are rectangles that are not squares?
B) How many rotational symmetries does every regular square pyramid have?
(Short Answer)
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(37) Describe all of the reflection and rotational symmetries of the following three-dimensional object. (Feel free to draw pictures to demonstrate.) All of the angles in the object are 90°. 
(Essay)
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(27) Add to following figure so that it has rotational symmetry. Show a center of rotation after the addition. 
(Short Answer)
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(32) How many reflection and rotational symmetries does a regular octagon have?
(Short Answer)
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(27) Add to the picture so that it has a reflection symmetry. Draw in the line symmetry. 
(Short Answer)
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(34) How many reflection symmetries does a regular hexagon have? Draw the hexagon and show all the lines of symmetry.
(Essay)
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(28) A) How many reflection symmetries does the figure below have?
B) How many rotational symmetries does it have?
(Short Answer)
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(28) A) How many rotational symmetries does a regular 12-gon have?
B) What is the minimum (positive) number of degrees of rotation for the symmetry of a regular 12-gon?
(Short Answer)
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