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Consider the first three figures of the pattern below.

Figure 1: A triangle with equal sides.

Figure 2: a square.

Figure 3: a pentagon with equal sides.

  1. On your own paper, draw what Figure of this pattern should look like.

    How many sides are in each figure shown?
    How many would you expect in the next figure?

  2. Using words, describe what Figures and should look like.

    If Figure has sides of the same length, how many sides should the next figures have?

    Figure should have seven sides of the same length.
    Figure should have eight sides of the same length.

  3. Using words, describe how the pattern is changing.

  • How is one figure different from the previous one?
    Think about how you answered part (b) and try to generalize this.