1. Embarking on the Rome Trip
Curae 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.
2. First Day on the Ground
Curae 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.
3. 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.
4. 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.
5. 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!
6. 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.
7. 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.
8. 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.
9. 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.
10. 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!
11. 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.
12. 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.
13. 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.
14. 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.
15. 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.
