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GeoGebra

Discovering Properties of Kites

Author:Kristin Massey, Tim Brzezinski, Julian Ornelas
Topic:Kite
The applet below contains a quadrilateral that ALWAYS remains a kite. The purpose of this applet is to help you understand many of the geometric properties a kite has. Some of these properties are unique and only hold true for a kite (and not just any quadrilateral). The questions you need to answer are displayed below this applet.

Use the features within this GeoGebra applet to investigate the answers to the following questions:

1) Are OPPOSITE SIDES of a kite congruent?

Select all that apply
  • A
  • B
Check my answer (3)

If so, how many pairs?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

2) Are ADJACENT SIDES of a kite congruent?

Select all that apply
  • A
  • B
Check my answer (3)

If so, how many pairs?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

3) Are any pairs of OPPOSITE angles of a kite congruent?

Select all that apply
  • A
  • B
Check my answer (3)

If so, how many pairs?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

4) Are any pairs of ADJACENT angles of a kite congruent?

Select all that apply
  • A
  • B
Check my answer (3)

If so, how many pairs?

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

5) Are the diagonals of a kite congruent?

Select all that apply
  • A
  • B
Check my answer (3)

6) Do the diagonals of a kite bisect EACH OTHER?

Select all that apply
  • A
  • B
Check my answer (3)

7) Does either diagonal of a kite get bisected by the other diagonal?

Select all that apply
  • A
  • B
Check my answer (3)

If so, which diagonal gets bisected?

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

8) Does any diagonal of a kite bisect a pair of opposite angles?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

If so, which diagonal(s)?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

9) Are the diagonals of a kite perpendicular?

Select all that apply
  • A
  • B
Check my answer (3)

What do you observe about the triangles created by the diagonals?

Check my answer

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