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# With pictures and words, describe each symmetry in D3 (the

**Chapter 1, Problem 1E**

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**QUESTION:**

With pictures and words, describe each symmetry in \(D_3\) (the set of symmetries of an equilateral triangle).

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**QUESTION:**

With pictures and words, describe each symmetry in \(D_3\) (the set of symmetries of an equilateral triangle).

**ANSWER:**

Step 1 of 3

Here the objective is to list out all the six elements in \(D_3\).

Consider the first element E is the rotation by an angle of \(0^\circ\) that is no change in position as shown in Figure below.