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Discover Properties of Parallelograms

The applet below contains a quadrilateral that ALWAYS remains a parallelogram. The purpose of this applet is to help you understand many of the geometric properties a parallelogram has. Some of these properties are unique and only hold true for a parallelogram (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 parallelogram congruent?

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  • A
  • B
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If so, how many pairs?

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  • A
  • B
  • C
  • D
  • E
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2) Are OPPOSITE sides of a parallelogram parallel?

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  • A
  • B
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If so, how many pairs?

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  • A
  • B
  • C
  • D
  • E
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3) Are OPPOSITE angles of a parallelogram congruent?

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  • A
  • B
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If so, how many pairs?

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  • A
  • B
  • C
  • D
  • E
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4) Do you notice anything about CONSECUTIVE angles?

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  • A
  • B
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5) Find the sum of

6) Find the sum of

7) Find the sum of

8) Find the sum of

Important Property!

The consecutive angles (2 angles in a row) are Supplementary!

9) Are the diagonals of a parallelogram congruent?

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  • A
  • B
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10) Are the diagonals of a parallelogram perpendicular?

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  • A
  • B
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11) Do the diagonals of a parallelogram bisect each other?

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  • A
  • B
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12) Does a diagonal of a parallelogram bisect a pair of opposite angles?

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  • A
  • B
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If so, how many diagonals do?

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  • A
  • B
  • C
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Write down in your Notes any important property you observe to be true!!