Quadrilaterals

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Quadrilaterals

• Presented by The Mathematics and Science Center

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What is a Quadrilateral?

• A quadrilateral is a polygon with four sides. In
  other words a four sided shape.

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Where can quadrilaterals be found?

• Art
• Architecture
• All around us

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What shapes do you see?
The Aleph by Marjorie Mikasen
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Switzerland Architecture
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Richmond, Virginia
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Complete the Quadrilateral Hunt

• How many quadrilaterals can you find?
• What different types of quadrilaterals can you
  find?
• Make sure you include all of the quadrilaterals.

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• Turn to page two in your packet and complete the
  chart as you follow along.

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What is a parallelogram?
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A parallelogram is

• A quadrilateral with opposite sides parallel and
  equal

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What is a Rectangle?
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A Rectangle is

• A parallelogram with four right angles.

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What is a rhombus?
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A Rhombus is

• A parallelogram with four equal sides.

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What is a Square?
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A Square is

• A parallelogram with four right angles and four
  equal sides.

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What is a Trapezoid?
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A Trapezoid is

• A quadrilateral with only two sides parallel.

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Group Work

• Directions
• Given a set of quadrilaterals, first match each
  quadrilateral to its correct name.
• Next, measure the lengths of the sides and the
  angles of all of the quadrilaterals and record
  your findings in the Property Table (p.3 packet).
• Using your Property Chart match each specific
  quadrilateral with one property.
• Write your findings on the Property Match Up
  worksheet (p.4 packet), and be prepared to also
  place your findings on a class chart.

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Property Match Up
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Venn Diagram

• Directions
• Complete the Venn Diagram located on p.5 of your
  packet.
• Write the name of each quadrilateral in one
  section of the diagram (excluding trapezoid).
• Please write in pencil in case you need to change
  your answer.
• Think about which shapes have the most properties
  while you are deciding where the shapes belong.

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Quadrilateral Venn Diagram
PARALLELOGRAM
S Q U A R E
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Directions for Artwork

• Tie three pieces of yarn end-to end.
  Short-Medium-Long.
• Tie one end of the yarn around one stick closest
  to the middle.
• In a clockwise direction,wrap the yarn around the
  next stick once, then go to another stick and
  repeat.
• When you are out of yarn or out of space, tie the
  end of the yarn to a piece of yarn that is
  already secure.
• After your artwork is complete, answer the
  questions on the Exploring Your Artwork worksheet
  (p. 5 packet)

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Wrapping it up!
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Is a square a rectangle?
YES
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Is a rectangle a rhombus?
NO
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Is a rhombus a square?
NO
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Is a rectangle a square?
NO
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Is a rhombus a rectangle?
NO
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Is a square a rhombus?
YES
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Is a square a parallelogram?
YES
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Is a trapezoid a parallelogram?
NO
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References

• Quadrilateral lesson plan from
• http//www.teach.virginia.edu/teacherlink
• The Aleph by Marjorie Mikasen
• http//chem-mgriep2.unl.edu/MikPages
• Definitions from Websters Dictionary
• http//www.webster.com
• Properties of Quadrilaterals lesson plan from
• http//www.iit.edu/smile/ma8917.html
• Switzerland Architecture from
• http//www.bamjam.net/Switc/Archi.html