Transforming Rectangles into Parallelograms
Transforming Rectangles into Parallelograms
Discover how the area of a parallelogram relates to the area of a rectangle with the same base and height.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Pergunta aberta 1
Move the slider to the right, and observe the resulting geometric figure. How do we know that this figure is a parallelogram?
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Pergunta aberta 2
While the slider is in the left-most position, count the number of squares you see. Move the corner points to adjust the size of the rectangle and count the squares again. What does the number of squares represent?
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Pergunta aberta 3
Change the shape to a parallelogram with non-right angles using the slider. Count the number of squares again. What do you notice? Try the same thing with a different shaped parallelogram by moving the points that are not corner points before you slide the slider to the right. How is the area of the parallelogram affected?
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Pergunta aberta 4
How does the area of the rectangle compare to the area of the parallelogram that results from sliding the slider to the right?
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Pergunta aberta 5
How can you find the area of any parallelogram?
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