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6.6. Trapezoid: 2 Discoveries

Interact with the applet below for a few minutes.   Be sure to change the locations of the trapezoid's VERTICES lots of times! 1. Is trapezoid a parallelogram? Why? 2. Define "trapezoid". 3. Identify the median of the trapezoid. Recall that a MEDIAN of a trapezoid is a segment that connects the midpoints of its 2 non-base sides. 4. Identify the bases of the trapezoid. 5. Select "Discover One Property" and "Slide Me". What can you conclude about the median and the two bases? Explain your reasoning. 6. Select "Discover Another Property" and "Slide Me" twice. How are the lengths of the median related to the length of the two bases? Explain your reasoning.