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anonymous

  • one year ago

Which set of shapes contains members that are always similar to one another?

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  1. anonymous
    • one year ago
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    trapezoids isosceles triangles equilateral triangles rectangles pentagons

  2. mathstudent55
    • one year ago
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    Use the angles. If two polygons are similar, then all the pairs of corresponding angles are congruent.

  3. mathstudent55
    • one year ago
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    Here are two trapezoids. They are drawn to scale. Are all pairs of corresponding angles congruent? |dw:1435246347755:dw|

  4. anonymous
    • one year ago
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    so it trapezoid

  5. mathstudent55
    • one year ago
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    No. Just answer my question above for the trapezoids I drew.

  6. mathstudent55
    • one year ago
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    When two polygons are similar, you can enlarge or reduce one of them to fit exactly on top of the the one. Do these two trapezoids look like with an enlargement or reduction on one of them, one would fit exactly on top of the other one?

  7. anonymous
    • one year ago
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    no

  8. anonymous
    • one year ago
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    so whats the answer

  9. anonymous
    • one year ago
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    Equilateral triangles.

  10. mathstudent55
    • one year ago
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    Right. That means my drawing shows an example of two trapezoids that are NOT similar. In other words, not all trapezoids are similar.

  11. anonymous
    • one year ago
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    thank you

  12. mathstudent55
    • one year ago
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    Now let's move on to isosceles triangles. |dw:1435246772609:dw| The two triangles are isosceles, but not similar.

  13. mathstudent55
    • one year ago
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    All equilateral triangles are similar.

  14. mathstudent55
    • one year ago
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    |dw:1435246848604:dw|

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