Explore Isosceles Trapezoid Properties

Click on Show Side Lengths, select point A or B and move it around.[br]1. What do you notice is always true about the side lengths?[br][br]Hide the side lengths, and click on Corner Angle Measures. Now move around point A or B again.[br]2. List any pairs of congruent angles or supplementary angles. Do these pairs always stay supp or congruent?[br][br]Hide the angle measures, now show the slopes. Again Move around point A or B.[br]3. What is always true about the slopes?[br]4. What can you infer because of the answer to question 3?[br][br]Hide the slopes, and click on the "Show Lengths of AE, BE, CE, DE" and move point A or B again.[br]5. What do you notice is always true about these lengths?[br][br]Hide the lengths, and now click on "and Lengths" next to diagonals, and move around A or B.[br]6. What do you notice is always true about the diagonals.[br][br]Hide the lengths, finally select "other angle measures", move points A or B.[br]7. List all pairs of congruent angles you see.[br]8. Label the angles you listed in question 7 with the following angle relationships: Vertical Angles, Alternate Interior Angles, Interior Angles on the Same Side/ Supplementary.[br][br]9. Using the picture, and your answers to this exercise, what are the properties of Isosceles Trapezoids that are always true?[br][br]10. Figure FGIH is not and Isosceles Trapezoid. It is jsut a trapezoid. What properties from your answer to question 9 still remain true? What properties no longer apply?

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