Third postulate a circle can be drawn with any center

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C. Third postulate: A circle can be drawn with any center and radius. D. Fourth postulate: All right angles are equal to one another. E. Fifth postulate: Through a given point not on a given line, there is exactly one line parallel to the given line.
NON-EUCLIDEAN GEOMETRY 3. Jeanne makes jewelry and has an idea for a new pair of earrings. She wants to make a sketch of her design, but only has a marker, a pencil, two pieces of paper, and a coffee mug. Use these items to construct the shape of the earring Jeanne is envisioning. Step 1: Jeanne traced her coffee mug on her piece of paper. How might
she use paper-folding to find the center of the circle? (2 points) If the mug was traced in the center of the paper, she could fold the paper in half vertically and horizontally to find the center point of the mug. Step 2: Show how a second circle should be drawn in order to continue the construction. What can you say about the radii? Explain your work. (4 points) a second circle would be drawn on top of the previous one so that it would see dark and closed in one part and lighter towards the edges. Step 3: Describe the final steps in constructing the shape of the earring.

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