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Learning Math Home
Geometry Session 2, Part B: Linkage-Strip Constructions
 
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Session 2, Part B:
Linkage-Strip Constructions

In This Part: Constructing Triangles | Constructing Quadrilaterals | Properties of Triangles

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).

Problem B6

show answers  

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.

Side A

Side B

Side C

Side D

Is it a quadri-
lateral?

Can it be deformed?

4 units

4 units

4 units

4 units

4 units

3 units

2 units

2 units

3 units

2 units

1 unit

1 unit

4 units

1 unit

2 units

1 unit



Here is the table filled in for the quadrilaterals with given lengths and for other sample quadrilaterals.

Side A

Side B

Side C

Side D

Is it a quadri-
lateral?

Can it be deformed?

4

4

4

4

Yes

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

hide answers


 

Problem B7

Solution  

For some of the lengths above, can you connect them in a different order to make a different quadrilateral? If so, which ones? How is this different from building triangles?


 

Problem B8

Solution  

Come up with a rule that describes when four lengths will make a quadrilateral and when they will not. Write down the rule in your own words. (You may want to try some more cases to test your rule.)


 

Problem B9

Solution  

Can a set of four lengths make two different quadrilaterals?


 

Linkage-strip problems adapted from IMPACT Mathematics Course, 1, developed by Education Development Center, Inc. pp. 55-56, © 2000 Glencoe/McGraw-Hill. Used with permission. www.glencoe.com/sec/math

Next > Part B (Continued): Properties of Triangles

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