--> Question: Can you determine which type of Shape Makers they are? Is there a strategy that works all the time?
- Open
shapemakers.gsp in Geometer's Sketchpad.
- You should see this:
Each of these squares is a unique shape maker whose names are listed below.
| Square Maker |
Trapezoid Maker |
| Rectangle Maker |
Kite Maker |
| Parallelogram Maker |
Quadrilateral Maker |
| Rhombus Maker |
|
- Unfortunately, their name tags have been replaced with letters so we can't tell which is which.
- Figure out the real name of each Shape Maker:
For example, here is how you figure out which one shape A is:
| I. |
Click on shape A and drag it away form the others. |  |
| II. |
Drag the upper left hand vertex of the shape to the left, up and to the right. What do you notice? |  |
| III. |
Do the same with the lower left hand vertex. |  |
| IV. |
Repeat with the upper right hand vertex. |  |
| V. |
And the lower right vertex. No matter how you move each of the vertices the resulting shape always has the same name. What name is that?
(It's a parallelogram. Because the opposite sides are always parallel no matter how you twist or stretch it.) |  |
- Do the same with B, C, D, E, F, and G and then fill in the chart below. Describe how you figured out the true identity of each Shape Maker.
|
Letter
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Real Name
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How did you figure it out?
|
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A
|
Parallelogram |
Opposite sides are always
parallel.
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B
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C
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D
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E
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F
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G
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(Hint: if you're not sure why, look up the definitions of each of the shape makers.)
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shapemakers.gsp