PSA2RAZ - Classwork---Geometry, M1, Lesson 15 (G.CO.A.3)

1. Draw all lines of symmetry. Locate the center of rotational symmetry.

Draw your graph on paper, take a picture, and upload it using the image upload icon  .

If you do not have the ability to upload an image of your work type "Graph is on paper."

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Part A)

2. Describe all symmetries explicitly.

a. What kinds are there?

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Part B)

b. How many are rotations? (Include 360° rotational symmetry, i.e., the identity symmetry.)

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

c. How many are reflections?

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part A)

3. Prove that you have found all possible symmetries.

a. How many places can vertex A be moved to by some symmetry of the square that you have identified? (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?)

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

b. For a given symmetry, if you know the image of A, how many possibilities exist for the image of R?

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

c. Verify that there is symmetry for all possible images of A and B.