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  3. 4 use the diagram below in the problems that follow...

Question: 4 use the diagram below in the problems that follow...

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4. Use the diagram below in the problems that follow (a, b, c). Be sure to explain your responses as appropriate. Using Geogebra, construct the two circles and four a. points indicated in the diagram shown below. Ensure that the labels for your points match the labels in the diagram. Paste in an image of your Geogebra window that has your name typed into the Geogebra screen somewhere. BA 4 b. Measure the angles with vertices at A, B, C, and D. Move the four points around the circle absve what happens to the measurements you made. Record your measurements in a ta hold among the angles in that figure? Include images of your Geogebra window (with your name) that shows some of your measurements. ble. What relationships Measure the angles with vertices at P, Q, R, and S. Move the four points around the circle and observe what happens to the measurements you made. What relationships hold among the angles in that figure? Record your measurements in a table. Include images of your Geogebra window (with your name) that shows some of your measurements. c. 5. Larissa, a second grader, is asked whether the following segments drawn on a page are parallel: After a brief pause, she says, Yes they are because they do not meet. How would you respond to her? BONUS (5 points): Three noncollinear points determine three lines. a. How many lines do four points, no three of which are collinear, determine? b. How many lines do five points, no three of which are collinear, determine? c. How many lines do n points determine? Assume that no three points are collinear.

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