Difference between revisions of "Similarity Worksheet"

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(New page: {{k12}} Two figures are similar if they have the same shape, but one may be drawn at a larger scale. 500px In the figure above, P1 and P8 are similar. They...)
 
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[[Image:Similar-figures.svg|500px]]
 
[[Image:Similar-figures.svg|500px]]
  
In the figure above, P1 and P8 are similar. They are both triangles and the only difference is that the sides of P1 are about twice as long as the sides of P8. The fact that P8 is turned around does not change the fact that they are similar.
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In the figure above, P1 and P2 are similar. They are both triangles and the only difference is that the sides of P2 are about 1 1/2 times as long as the sides of P1.
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P1 and P8 are interesting. They are actually congruent! We also say they are similar.  
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1. Is P1 similar to P4?    YES    NO
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2. Is P2 similar to P8?    YES    NO
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3. Is P1 similar to P4?    YES    NO
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4. Is P5 similar to P6?    YES    NO
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5. Is P5 similar to P7?    YES    NO
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6. Is P5 similar to P3?    YES    NO
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7. Is P3 similar to P7?    YES    NO

Revision as of 09:02, 6 May 2009

K-12: Materials at high school level.



Two figures are similar if they have the same shape, but one may be drawn at a larger scale.

Similar-figures.svg

In the figure above, P1 and P2 are similar. They are both triangles and the only difference is that the sides of P2 are about 1 1/2 times as long as the sides of P1. P1 and P8 are interesting. They are actually congruent! We also say they are similar.

1. Is P1 similar to P4? YES NO

2. Is P2 similar to P8? YES NO

3. Is P1 similar to P4? YES NO

4. Is P5 similar to P6? YES NO

5. Is P5 similar to P7? YES NO

6. Is P5 similar to P3? YES NO

7. Is P3 similar to P7? YES NO