Prologue
US Air Flight 427 was a scheduled flight from Chicago's O'Hare International Airport to Pittsburgh, with a final destination of West Palm Beach, Florida. The flight crashed on Thursday, September 8, 1994, killing everyone on board. The Boeing 737-3B7 flying the route... see more
-Wikipedia
One normal school day, my class was preparing for EQAO so our teacher showed some previous questions on her SMART board. We were learning about transformations and there were 2 multiple choice questions. We all thought, Wow, this seems easy! [question on bottom]
For me, it took a few seconds to do the multiple choice questions. For question 26, it was c, and for question 16, it was d. In fact, everyone took a few seconds. After a bit of time, we all began to compare our answers. As we were comparing, I noticed that my answer for question 26 was different! Not a single person got the same answer as me. They all chose d, which seemed strange to me. I asked them to explain, and they all answered so confidently. They all thought that if A is translated 3 units to the right, and translated over where the two shapes met, then A will reach B. Inside, I laughed at their thinking and I tried to explain that they need to reflect over line l and not wherever they want. Malheureusement, they wouldn’t listen − or even try to. Only 2 of my friends seemed to trust me and they changed their answers. The others were pretty rude as they all told me that I was incorrect and I should change my answer before Mme checked. Even after all this, I never had a thought to change my answer.
And I’m glad I didn’t. Our discussions ended when Mme began to take up the questions. She asked someone to show the answer and one boy went up gladly. He circled d and people started nodding their heads in agreement. Mme asked if everyone was ok with the answer, and I quickly raised my hand. Then, I walked to the board and circled my answer. Outcries of “Contre-argument!” filled the classroom. Mme said that I was correct and she asked me to explain. I said what I said to them before but they didn’t understand. When Mme did though all their light bulbs lit. I guess I’ll need to work on my explanations.
This is where they were wrong. They didn’t read the answer carefully and sort of made their own answer up. The answer said to translate 3 units to the right, and then reflect over line l. They just reflected it wherever they wanted so that it would work. According to the answer that they choose, parallelogram A would end up on the left side of line l. In math, it’s important to be very precise and careful with the question/situation; a lot of times, they’re trick questions. It’s ok to not be careful in math during school − if you want to lose marks. But dans la vie, consequences may happen.
26. Look at the figures below.
Which of the following describes how Parallelogram A was moved to create Parallelogram B?
a a reflection over line l
b a translation 3 units to the right
c a translation 3 units to the left, then a reflection over line l
d a translation 3 units to the right, then a reflection over line l
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