course Mth 151
6/19 11
Question: `q001. Note that there are 7 questions in this assignment. Sketch three points A, B and C forming an equilateral triangle on a piece of paper, with point A at the lower left-hand corner, point B at the lower right-hand corner and point C at the top. Sketch the segments AB and AC.
Now double the lengths of AB and AC, and place a point at each of the endpoints of these segments. Connect these new endpoints to form a new equilateral triangle. Two sides of this triangle will have three points marked while the new side will only have its two endpoints marked. Fix that by marking that middle point, so all three sides of your new triangle are marked the same.
How many marked points were there in the original triangle, and how many are there in the new triangle?
Your solution:
You start with 3 dot and then end with 6 because the extended lines add two and the midpoint of the third side adds one
3
Ok
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Question: `q002. Extend the two sides that meet at A by distances equal to the original lengths AC and AB and mark the endpoints of the newly extended segments. Each of the newly extended sides will have 4 marked points. Now connect the new endpoints to form a new right triangle. Mark points along the new side at the same intervals that occur on the other two sides. How many marked points are on your new triangle, and how many in the whole figure?
Your solution:
9 on the new triangle and 10 on the new figure because we added four dots to the 6 already there
3
Ok
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Question: `q003. Continue the process for another step-extend each side by a distance equal to the original point-to-point distance. How many points do you have in the new triangle?
Your solution:
You add two new endpoints and place points from each interval on old side so that will give you a total of 15 point
3
Ok
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Question: `q004. Continue the process for one more step. How many points do you have in the new triangle?
Your solution:
2 new endpoints and 4 interval points for a total of 21
3
Ok
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Question: `q005. The sequence of marked points is 3, 6, 10, 15, 21. What do expect will be the next number in this sequence?
Your solution:
28 because 3+3=6 6+4=10 10+5=15 15+6=21 21+7=28
3
Ok
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Question: `q006. How can you tell, in terms of the process you used to construct these triangles, that the next number should be 7 greater?
Your solution:
When you extend it again you will have 7 points per side
3
Ok
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Question: `q007. How do you know this sequence will continue in this manner?
Your solution:
Because each side increased by 1 each time you extend it
3
Ok
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&#I need to see the questions so I can be sure what your answers mean. Most of the time I can tell, but I'm dealing with information that comes in from over 1000 different files, containing a total of about 10 000 questions. While I'm familiar with the content and sequencing of the questions, having written them all, and know what I'm looking for, different students will answer these questions in different ways and I need to be able to relate your answers to the specific wording of each question.
When reviewing my responses you will also need to be able to relate your answers and my comments to the specifics of the original document.
So it will be important for you on future documents to insert your responses into a copy of the original document, according to instructions, without otherwise changing any of the content of the original document.
This will ensure you of the best possible feedback on your work. &#
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