A Fairy Tale

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A Fairy Tale
Brought to you by Moody Mathematics
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(Ones Upon a Time)
1,1,1,1,1,1
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There was a land
Called Quadraterra
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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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We would call them trapezoids today. They had
exactly one pair of parallel sides which made
them especially suited for building things.
The Serfs
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Like Houses
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The Royal Family of Quadraterra
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The Queen
The Queen, needed to have qualities greater than
any serf or knight.
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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.
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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
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The Prince
Naturally, the prince inherited all of his
mother, (the Queens), 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 st
rength.
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He was
Prince Rectangle
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The Princess
Naturally, the princess inherited all of her
mother, (the Queens), 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.
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She was
Princess Rhombus
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The Knight
In 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 Jesters 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!)

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Each of Princess Rhombus diagonals was a line of
symmetry, but only one of The Court Jesters 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 Quadrilaterals
The Square!
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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 m
ade him a fair and just King.
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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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