Assignment 7

course Mth 151

I could never get the program to go past question one.

x_òЛӉâüðºñ»Ûcz¶x–éê±nåÎ÷assignment #007

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007. Triangular, Square, Pentagonal Numbers

Liberal Arts Mathematics I

02-15-2007

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21:57:24

`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?

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RESPONSE -->

6

confidence assessment: 3

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21:57:41

The original triangle had the three points A, B and C. When you extended the two sides you marked the new endpoints, then you marked the point in the middle of the third side. So you've got 6 points marked.

Click on 'Next Picture' to see the construction. The original points A, B and C are shown in red. The line segments from A to B and from A to C have been extended in green and points marked at the ends of these segments. The new endpoints have been connected to form the third side of a larger triangle, and an equally spaced point has been constructed at the midpoint of that side. Your figure should contain the three original points, plus the three points added when the new side was completed.

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RESPONSE -->

Ok.

self critique assessment: 3

Unfortunately I can't check the program from this location. However don't worry too much about it; you're doing well and I think you'll be OK on this assignment.