This blog is the online extension of our intermediate classrooms. Our goal is to enhance and document our learning experience throughout the school year, and share this journey with teachers, parents and students. We welcome your constructive feedback, and we look forward to learning with you!
After looking at this, my brother and I decided to compare the area when adding the different four parts (individually) and the area of the "big triangle" (all of it together, ignoring the different sections). So, individually then adding all the sections together, we got the area of 32 unit square. But, when finding the area of the "big triangle", the area was 32.5 unit square. So, the sum of all the sections is not really equal to the area of the "big triangle", which made us decide that it is a quadrilateral. From this information, we assumed that when rearranging the different 4 sections, it results in one empty square unit or the "hole".
Wow, I am impressed by your strategy. Great job. This one was tricky and I am glad you found it so. There are other ways to explain this and possible reasons as to why this seems to be a "riddle". Can you think of any more reasons or explanations for the picture?
I found this a bit tricky. I did some research on it and it turns out that the two triangles aren't similar in any way. The slope (aka hypoteneuse) in both triangles are slightly different. They may appear same but are actually different. The image kind of messes with your eyes (like an illusion!) So because of the difference of hypoteneuse angles, this causes the image to turn out to be different! And also the images are different because of this. They are both quadrilaterals.
This one was a hard one!
ReplyDeleteAfter looking at this, my brother and I decided to compare the area when adding the different four parts (individually) and the area of the "big triangle" (all of it together, ignoring the different sections). So, individually then adding all the sections together, we got the area of 32 unit square. But, when finding the area of the "big triangle", the area was 32.5 unit square. So, the sum of all the sections is not really equal to the area of the "big triangle", which made us decide that it is a quadrilateral. From this information, we assumed that when rearranging the different 4 sections, it results in one empty square unit or the "hole".
-Rachel and Jonathan
Wow, I am impressed by your strategy. Great job. This one was tricky and I am glad you found it so. There are other ways to explain this and possible reasons as to why this seems to be a "riddle". Can you think of any more reasons or explanations for the picture?
DeleteAwww, too bad this one already finished.... I'll be sure to post on the next problem of the week
DeleteI found this a bit tricky. I did some research on it and it turns out that the two triangles aren't similar in any way. The slope (aka hypoteneuse) in both triangles are slightly different. They may appear same but are actually different. The image kind of messes with your eyes (like an illusion!) So because of the difference of hypoteneuse angles, this causes the image to turn out to be different! And also the images are different because of this. They are both quadrilaterals.
ReplyDelete-----Sophia------
You're right Sophia! This question was more of a riddle or illusion. The hypotenuse is different for both triangles.
Delete