A Fairy Tale Brought to you by Moody Mathematics
1,1,1,1,1,1 (Ones Upon a Time…) Moody Mathematics
Called Quadraterra There was a land … Moody Mathematics
All of the people of Quadraterra had 4 sides. Moody Mathematics
They worked hard…. Moody Mathematics
….played games…. (like Scrabble and Checkers) Moody Mathematics
… watched TV shows like “Sponge Bob Square Pants”… Moody Mathematics
…and ate 3 square meals a day. Moody Mathematics
Let me tell you about some of the special Quadraterrans, who we now call the Quadrilaterals…. Moody Mathematics
The Serfs We would call them trapezoids today. They had exactly one pair of parallel sides which made them especially suited for building things. Moody Mathematics
Like Houses… Moody Mathematics
The Royal Family of Quadraterra Moody Mathematics
The Queen, needed to have qualities greater than any serf or knight. The Queen Moody Mathematics
Her opposite sides were parallel which made her a fair and just Queen. Moody Mathematics
Her opposite sides were congruent, a mark of physical beauty in Quadraterra. Moody Mathematics
Her opposite angles were congruent too, indicating that she had great integrity. Moody Mathematics
Her consecutive angles were supplementary, a sign of intelligence. Moody Mathematics
Not only did she have outer beauty, but inner peace, as her diagonals bisected each other. Moody Mathematics
She was… Queen Parallelogram Moody Mathematics
The Prince Naturally, the prince inherited all of his mother, (the Queen’s), fine qualities of justice, intelligence, and good looks. Moody Mathematics
The Prince had even more qualities which would one day make him a good King. Moody Mathematics
The Prince had congruent diagonals, indicating that he was loyal to the King. Moody Mathematics
What really set him apart were his 4 right angles, indicating that he had great physical strength. Moody Mathematics
Prince Rectangle He was… Moody Mathematics
The Princess Naturally, the princess inherited all of her mother, (the Queen’s), beauty, integrity, and other fine qualities. Moody Mathematics
However, the princess was even more beautiful than her mother. She was beautiful from all 4 of her congruent sides. Moody Mathematics
Each of her diagonals showed off her symmetrical form, and bisected angles. Moody Mathematics
Unlike the Prince whose strength was on the outside, The Princess had inner strength. Her right angles were formed where her diagonals intersected. Moody Mathematics
Princess Rhombus She was Moody Mathematics
The Knight In order to serve the king, he had to be loyal. So, like the prince, the Knight had diagonals that were congruent. Moody Mathematics
The Knight was fair and just, but not more than the Prince. Only one pair of his opposite sides were parallel. Moody Mathematics
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). Moody Mathematics
The knight needed integrity and intelligence to serve the King. He had 2 pairs of congruent angles and 2 pairs of supplementary angles. Moody Mathematics
Sir Isosceles Trapezoid Moody Mathematics
The Court Jester Moody Mathematics
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. Moody Mathematics
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!) Moody Mathematics
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!) Moody Mathematics
Princess Rhombus was delighted by the Court Jester the most of all. His diagonals were perpendicular like her very own! Moody Mathematics
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 Mathematics
Each of Princess Rhombus’ diagonals was a line of symmetry, but only one of The Court Jester’s was! (Oh my!) Moody Mathematics
The Court Jester was… The Kite Moody Mathematics
Finally, who was the King of Quadraterra? Moody Mathematics
The King of Quadrilaterals The Square! Moody Mathematics
To be a good King, he must have more good qualities than anyone else in the kingdom. Moody Mathematics
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 Mathematics
(2.) His opposite sides were congruent, a mark of physical attractiveness. Moody Mathematics
(3). His opposite angles were congruent too, indicating that he had great integrity. Moody Mathematics
(4). His consecutive angles were supplementary, a sign of intelligence. Moody Mathematics
(5). And the King had inner peace, as his diagonals bisected each other. Moody Mathematics
The King had all of the qualities that either of his children had. Moody Mathematics
The King had congruent diagonals (loyalty) and outer strength (right angles) like his son the Prince. Moody Mathematics
The King was especially good looking, with all 4 of his sides congruent, like his daughter the Princess. Moody Mathematics
…With inner strength, and symmetry along his diagonals, also like his daughter the Princess. Moody Mathematics
The King had every possible quality known to Quadraterrans, and yet he remained humble and approachable. Moody Mathematics
He was known around the kingdom as just a “Regular Guy.” Moody Mathematics
The End Moody Mathematics