Investigating Mathematics with GeoGebra

Henrico County Public Schools

How are kites, rhombi and squares related?

READ the instructions on the right and INTERACT with the GeoGebra applet below.
Click on the reset icon icon to reset the diagram.

Sorry, the GeoGebra Applet could not be started. Please install Java 1.4 (or later) to use this page.

Investigation Steps

 Step 1 Close 
  1. Move points A and B, what changes in the figure?

  2. Move sliders a, b, or c. Observe the figure. What do you notice?

  3. Compare segments AC and AD, what do you notice?

  4. Compare segments AC and CB, what do you notice?

  5. What relationships are true all the time?
 Step 2 Close 
  1. Control Click on each segment AE, DE, CE, and BE and change the properties to show their value.

  2. Observe the measures of AE, DE, CE, and BE.

  3. What can you say about the diagonals AB and CD? Move sliders a, b, and c.

  4. Do your observations hold true for all figures?
 Step 3 Close 
  1. Move sliders a, b, and c. Observe the angles. What do you notice?

  2. What changes? What does not change?

  3. Do your observations hold true for all figures?

 QuestionsClose 
    Submit your written response to the following questions to your instructor.

  1. When is the figure considered a kite, a rhombus, a square? Explain.

  2. When can a figure can be classified as two? Which two? Explain.

  3. When can a figure can be classified as all three? Explain.