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Session 2, Part B:
Linkage-Strip Constructions
In This Part: Constructing Triangles | Constructing Quadrilaterals | Properties of Triangles
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This activity requires the Flash plug-in, which you can download for free from Macromedia's Web site. For a non-interactive, hands-on version of this activity, use linkage strips (or make your own strips).
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Problem B6 |  |
Fill in the table below. Use this linkage-strip Interactive Activity (or the hands-on version) to try to build quadrilaterals with the given lengths. Write "yes" or "no" in the fifth column of the table to indicate whether or not you can make a quadrilateral from those four lengths. Experiment with different sets of lengths. When you build a quadrilateral, see if you can deform it into a different quadrilateral with the same side lengths. When you click "Show Answers," the filled-in table will appear below the problem. Scroll down the page to see it.
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Here is the table filled in for the quadrilaterals with given lengths and for other sample quadrilaterals.
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Side A |
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Side B |
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Side C |
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Side D |
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Is it a quadri-
lateral? |
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Can it be deformed? |
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4 |
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4 |
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4 |
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4 |
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Yes |
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Yes |
4 |
3 |
2 |
2 |
Yes |
Yes |
3 |
2 |
1 |
1 |
Yes |
Yes |
4 |
1 |
2 |
1 |
No |
N/A |
1 |
1 |
1 |
4 |
No |
N/A |
2 |
2 |
2 |
2 |
Yes |
Yes |
1 |
4 |
3 |
1 |
Yes |
Yes |
1 |
3 |
3 |
4 |
Yes |
Yes |
2 |
3 |
4 |
1 |
Yes |
Yes |
4 |
1 |
1 |
2 |
No |
N/A |
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hide answers |
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