Explore the GeoGebra applet below before responding to the items that follow.
Question 1
1.
Exploration: What is the relationship between the endpoints of the four congruent brown segments and the isosceles trapezoid? How do you know?
Question 2
2.
Question 3
3.
Extension: Reset the applet and run it once more. Are your results the same? Do you think the relationship applies to all isosceles trapezoids? Explain.
Question 4
4.
Extension: Make a conjecture based on your findings in this activity.
Exploration: What type of quadrilateral is formed by the brown segments? Be as specific as possible.