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This is a geometry question. Number 9 only please.

This is a geometry question. Number 9 only please.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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This is a geometry question. Number 9 only please.
Use Figure on the right to answer Problems 7-9. 7. Draw all lines of symmetry. Locate the center of rotational.symmetry. 5lines of symmtry0:s the covter d rotational smanetry 8. Describe all symmetries explicitly. a. What kinds are there? Rotational and Reflective SYmmetry! b. How many are rotations (including the identity symmetry)? Fve rotations c. How many are reflections? Fve reflections 9. Now that you have found the symmetries of the pentagon, consider these questions: a. How many places can vertex A be moved to by some symmetry of the pentagon? (Note that the vertex to which you move A by some specific symmetry is known as the image of A under that symmetry. Did you remember the identity symmetry?) b. For a given symmetry, if you know the image of A, how many possibilities exist for the image of B? c. Verify that there is symmetry for all possible images of A and B. d. Using part (b), count the number of possible images of A and B. This is the to
Transcribed Image Text:Use Figure on the right to answer Problems 7-9. 7. Draw all lines of symmetry. Locate the center of rotational.symmetry. 5lines of symmtry0:s the covter d rotational smanetry 8. Describe all symmetries explicitly. a. What kinds are there? Rotational and Reflective SYmmetry! b. How many are rotations (including the identity symmetry)? Fve rotations c. How many are reflections? Fve reflections 9. Now that you have found the symmetries of the pentagon, consider these questions: a. How many places can vertex A be moved to by some symmetry of the pentagon? (Note that the vertex to which you move A by some specific symmetry is known as the image of A under that symmetry. Did you remember the identity symmetry?) b. For a given symmetry, if you know the image of A, how many possibilities exist for the image of B? c. Verify that there is symmetry for all possible images of A and B. d. Using part (b), count the number of possible images of A and B. This is the to
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