Evan would like to be a writer after he graduates from college. Even though he's only a sophomore in high school, he has already self-published two novellas, and he's working on his first full-length book. Like many other people who really enjoy writing, Evan does NOT enjoy math. He finds geometry especially difficult because it doesn't allow him to express his creativity. However, his most recent assignment was intriguing.
Evan's teacher asked the class to write a report about parallelograms. Students could use any writing style to discuss the topic as long as they were accurate and thorough. The report also had to include examples, problems, and proofs. Evan got excited! He could actually use his creativity to make this assignment fun. He decided to write a detective story. Read the story that Evan wrote in the slide show below.
|
Detective Reese was assigned the lead role in a major investigation.
In order to build a strong case, he needed evidence and lots of proof about his target. The subject of his investigation-- the parallelogram. The first step of Reese's investigation was to determine the target's modus operandi by locating parallelograms in several different places. Reese received a tip that parallelograms were spotted at the community pool. So he travel there, and, sure enough, the pattern in the pool tile contained several parallelograms.
Next, an informant told the detective about parallelograms at the park. Upon Reese's arrival, he spotted parallelograms in a picnic blanket.
Then, an anonymous source told Reese that parallelograms were hanging out right outside several buildings. He examined the buildings closely and found the shape of the bricks to be parallelograms.
Based on the evidence Detective Reese had gathered up to that point, he concluded that parallelograms are convex quadrilaterals with opposite sides that are parallel. (Remember that a quadrilateral has four straight sides and four vertices, and the quadrilateral is convex if every interior angle is 180° or less.) Furthermore, the rectangle is a special parallelogram. But what else could Reese determine from the evidence? He wanted to fully understand the target of his investigation. |
 |
Question
Why is the rectangle a parallogram?
