Investigating Geometry: Quadrilaterals

Henrico County Public Schools

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May 2006

Lesson 6-5: Trapezoids and Kites

Objective:

SOL G.9: The student will verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems.

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  1. Segment AB is parallel to segment CD.

  2. Construct a segment whose length is the average of AB and CD.
 Hint: Close 
  1. The icon is the midpoint tool. Use it!

  2. Challenge:
    Find the solution without using the midpoint tool!

  Hands-On Activity Close 
  1. Discovering Kite Properties
  2. Discovering Trapezoid Properties
  3. Construct a Trapezoid C.a.R.
  4. Quadrilateral Properties Review (pdf)
  Other Web Sites web Close 
  1. Glencoe: On Line Quiz
 Puzzle & Problems tangram Close 

Design a logo in the shape of a kite. The measure of one angle of the kite is 90°. The measure of another angle is 30°.
Sketch a kite using GeoGebra that matches this description. Give the measures of all the angles and mark any congruent sides.