A Fairy Tale

Brought to you by Moody Mathematics

1,1,1,1,1,1

(Ones Upon a Time…)

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Called Quadraterra

There was a land …

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All of the people of Quadraterra had 4 sides.

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They worked hard….

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….played games…. (like Scrabble and Checkers)

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… watched TV shows like “Sponge Bob Square Pants”…

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…and ate 3 square meals a day.

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Let me tell you about some of the special Quadraterrans, who we now call the Quadrilaterals….

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The Serfs

We would call them trapezoids today. They had exactly one pair of parallel sides which made them especially suited for building things.

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Like Houses…Moody Mathematics

The Royal Family

of Quadraterra

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The Queen, needed to have qualities greater than any serf or knight.

The Queen

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Her opposite sides were parallel which made her a fair and just Queen.

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Her opposite sides were congruent,

a mark of physical beauty

in Quadraterra.

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Her opposite angles were congruent too, indicating that she had great

integrity. Moody Mathematics

Her consecutive angles were supplementary,

a sign of intelligence.

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Not only did she have outer beauty, but inner peace, as her diagonals bisected each other.

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She was…Queen

Parallelogram Moody

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The Prince Naturally, the prince inherited all of his mother, (the Queen’s), fine qualities of justice, intelligence, and good looks .

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The Prince had even more qualities which would one day make him a good King.

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The Prince had congruent diagonals, indicating that he was loyal to the King.

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What really set him apart were his 4 right angles,

indicating that he had great physical strength.

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Prince Rectangle

He was…

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The Princess Naturally, the princess inherited all of her mother, (the Queen’s), beauty, integrity, and other fine qualities.

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However, the princess was even more beautiful than her mother. She was beautiful from all 4 of her congruent sides.

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Each of her diagonals showed off her symmetrical form, and bisected angles.

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Unlike the Prince whose strength was on the outside, The Princess had inner strength. Her right angles were formed where her diagonals intersected. Moody

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Princess Rhombus

She was

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The KnightIn order to serve the king, he had to be loyal. So, like the prince, the Knight had diagonals that were congruent.

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The Knight was fair and just, but not more than the Prince. Only one pair of his opposite sides were parallel.

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The Knight was also handsome, but again, not more than the Prince. He had a different pair of opposite sides that were congruent, (his legs, that he needed for riding horses).

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The knight needed integrity and intelligence to serve the King. He had 2 pairs of congruent angles and 2 pairs of supplementary angles.

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Sir Isosceles Trapezoid

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The Court Jester

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It was the Court Jester’s job to amuse the royal family. He needed to be able to capture the imagination and interest of each member.

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Queen Parallelogram was amused by the Court Jester because one pair of his opposite angles were congruent like her own, but the other pair was not. (Wow!)

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Prince Rectangle was amused by the Court Jester because one of his diagonals was bisected by the other, like his own, but the other one was not. (Crazy!)

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Princess Rhombus was delighted by the Court Jester the most of all. His diagonals were perpendicular like her very own!

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Neither her brother, the Prince, nor her mother the Queen had any consecutive sides congruent like she did. The Court Jester did, but his opposite sides were not congruent!! (Imagine!) Moody

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Each of Princess Rhombus’ diagonals was a line of symmetry, but only one of The Court Jester’s was!

(Oh my!)

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The Court Jester was…The Kite

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Finally, who was the King of Quadraterra?

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The King of QuadrilateralsThe

Square! Moody

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To be a good King, he must have more good qualities than anyone else in the kingdom.

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The King has all of the qualities that the Queen has…

1. His opposite sides were parallel which made him a fair and just King. Moody

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(2.) His opposite sides were congruent,a mark of physical attractiveness.

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(3). His opposite angles were congruent too, indicating that he had great integrity.

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(4). His consecutive angles were supplementary,a sign of intelligence.

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(5). And the King had inner peace, as his diagonals bisected each other.

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The King had all of the qualities that either of his children had.

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The King had congruent diagonals (loyalty) and outer strength (right angles) like his son the Prince.

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The King was especially good looking, with all 4 of his sides congruent, like his daughter the Princess.

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…With inner strength, and symmetry along his diagonals, also like his daughter the Princess.

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The King had every possible quality known to Quadraterrans, and yet he remained humble and approachable.

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He was known around the kingdom as just a “Regular Guy.”

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The End

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