anonymous
  • anonymous
Which set of shapes contains members that are always similar to one another?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
trapezoids isosceles triangles equilateral triangles rectangles pentagons
mathstudent55
  • mathstudent55
Use the angles. If two polygons are similar, then all the pairs of corresponding angles are congruent.
mathstudent55
  • mathstudent55
Here are two trapezoids. They are drawn to scale. Are all pairs of corresponding angles congruent? |dw:1435246347755:dw|

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anonymous
  • anonymous
so it trapezoid
mathstudent55
  • mathstudent55
No. Just answer my question above for the trapezoids I drew.
mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
no
anonymous
  • anonymous
so whats the answer
anonymous
  • anonymous
Equilateral triangles.
mathstudent55
  • mathstudent55
Right. That means my drawing shows an example of two trapezoids that are NOT similar. In other words, not all trapezoids are similar.
anonymous
  • anonymous
thank you
mathstudent55
  • mathstudent55
Now let's move on to isosceles triangles. |dw:1435246772609:dw| The two triangles are isosceles, but not similar.
mathstudent55
  • mathstudent55
All equilateral triangles are similar.
mathstudent55
  • mathstudent55
|dw:1435246848604:dw|

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