Embarking on the Rome TripCurae the Fairy was going to Rome, and she didn’t want to forget all of her knowledge on Geometry theorems. So, she packed her travel journal with a promise to herself that she would study her flashcards. Little did Curae know, she only had to look around to find helpful Geometry concepts. As she put away her travel journal, she noticed a right angle on the corner of the book. She then remembered that if two angles form a right angle, then they are complementary angles. Curae laughed and figured out what she was going to wear when she landed.

First Day on the GroundCurae landed and folded up her wings. She put down her suitcase and looked around at the busy cobblestone streets in awe. She could hardly believe that she was actually in Rome! One of the most ancient cities in the world. In front of the restaurant Bellacarne with delicious smells of tagliata wafting out, which are strips of steak, Curae saw a pole and remembered that if two points existed, then they defined a line.

She picked up her suitcase again and entered the gate filled with many quadrilaterals. Curae speculated that all the corners were right angles, making the shape on the gate a rectangle. Since the shape was a rectangle, the lines bisected each other, and they were congruent! The gate squeaked to a close as she entered the courtyard of her hotel.

Entering her hotel room, Curae proceeded to place her clothes in the armoire. The bottom line of the mirror and the armoire door were parallel lines. That meant that if the lines were parallel, then the same side interior angles were supplementary angles. Curae decided to leave her same clothes on and not change into another outfit. Before she went out, she wanted to take a quick nap.

Curae laid down on the bed and noticed more parallel lines on the quilt. She also saw another transversal intersecting them. This made her remember that if two lines were parallel, then the opposite exterior angles were congruent. Curae groaned and rolled over onto her side. She wasn’t expecting so much Geometry!

Looking out the window, Curae saw the Capitoline museums and figured that she would visit them later. The lines in the window, besides looking like prison cell bars, formed right angles. They were also all parallel to their opposite sides on the quadrilateral. If all four of these angles were right angles, then Curae believed that she was looking at a square.

After a short walk, the fairy arrived at the Colosseum, and with much excitement she noticed the massiveness of the Colosseum and a circle in an arc. In this circle was an inscribed angle! Something that Curae had just learned how to find the measurement of. An inscribed angle’s measurement was found by the fact that its corresponding arc was twice its size. This led to the if- theorem, if the angle was an inscribed angle then the measure of the angle was ½ of its corresponding arc. Curae smiled and left the Colosseum. She walked a little ways to the Parthenon.

The Parthenon wasn’t busy at this time. It was spacious and airy. A woman stood in the center and sang a beautiful aria to a group of spectators. Curae wondered if this was allowed in the Parthenon. The top of the Parthenon was a perfect circle because it was the center of a dome. Curae drew chords with her eyes and speculated that if a line segment was drawn from the center of the circle to these chords, then it was perpendicular to them, hence forming right angles. Additionally, if these line segments were congruent, they were equidistant, and if the line segments were equidistant, then the corresponding chords were congruent.

Curae needed a break after the Parthenon, so she sat on the grass next to a human’s foot. The laces of the human’s shoes were particularly intriguing. They intersected and created crisscrossed sections. The angles formed by these cross sections were vertical angles. If angles are vertical angles, then they are congruent.

Feeling reenergized from her sit, Curae decided to fly to Pompeii. She put on a black shirt out of respect for those who lost their lives to Mt. Vesuvius erupting. On the way up the ramp that led into a mini museum of pictures of Pompeii, Curae noticed that the lines that formed the corners of the ramp were perpendicular. If lines were perpendicular, then they formed right angles. Curae liked right angles because they could form right triangles, which were her favorite shape because she could use Pythagorean Theorem on them!

Before she entered the memorial, Curae gasped when she saw the entranceway. The top and bottom of the doorway were parallel lines with one pair of opposite non parallel lines finishing the quadrilateral. If a quadrilateral had one set of opposite parallel lines and one set of opposite non parallel lines, then it was a trapezoid.

The amphitheater of Pompey formed a beautiful arc around the lowered stage. There was a chord in the perfect semicircle. Curae knew that if a line drawn through the center of a circle intersected a chord, then it was perpendicular to the chord, forming right angles.

Curae then went to the street lined with graves. She noticed another semicircle and remembered how to find the measurement of an arc. If it was an arc, then the measure of the arc was congruent to its corresponding central angle. Curae flitted away from the semicircle and to a burial site.

The burial site was similar to a mini house. There was an isosceles triangle on the top of the mini house. Curae knew it was a isosceles triangle because two lines that were not the base were congruent. She knew that if the sides were congruent, then the two opposite angles were congruent. Curae rested for a moment and carried on with tired wings.

Her last stop for her first day in Italy was another burial house. She saw along the top of the burial site was a pair of parallel lines, stretching on forever into infinity. She knew that if lines were parallel, then they never intersected. Curae was tired out for the day, so she returned to Rome and had a big bowl of carbonara at a restaurant called Emma’s. She then returned to her hotel and had a restful sleep.