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Geometry 6-9a GeoGebra Primer: Isosceles Trapezoid Midpoint Proof

Last updated almost 4 years ago

4 questions

Explore the GeoGebra applet below before responding to the items that follow.

10

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?

10

10

10

Question 2

2.

Exploration: What type of quadrilateral is formed by the brown segments? Be as specific as possible.

Rectangle

Rhombus

Square

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.