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Homework 1.2
Math 2201
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1. Make a conjecture about the dimensions of the two tabletops. How can you
determine if your conjecture is valid?
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2. Examine the number pattern. Make a conjecture about this pattern. What steps can
you take to determine if your conjecture is valid?
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1111 2 = 1234321
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3. If two congruent regular heptagons are positioned so that they share a side, a
dodecagon (12-sided polygon) is formed. If two congruent regular hexagons are
positioned so that they share a side, a decagon is formed. If two congruent regular
pentagons are positioned so that they share a side, an octagon is formed.
Make a conjecture about positioning two congruent regular quadrilaterals so that
they share a side. Determine whether your conjecture is valid. Record your
evidence.
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Two heptagons, sharing a
side to form a dodecagon.