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Q: Common Segments Theorem

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Polygon

No. They form an angle.

Pythagoras developed the 27th proposition of Euclid, which proves the relationships between the three sides of a right triangle, and has been simplified into the common "pythagorean theorem" which is commonly stated as a^2+b^2=c^2

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Triangles, trapezoids, and rectangles have these qualities in common:They are all polygonsThey all have exterior angles that add up to 360 degreesThey will tessellateThey all have a perimeterThey all have a surface areaThey are all constructed from line segments

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it is made of segments

No, they need not.

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It is an angle.

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what is a ray

An angle.

Arachnids and insects both have segments. Arachnids have two segments- a head-chest region called the cephalothorax and also an abdomen. Insects have three segments- a head, a thorax, and a abdomen. The second thing they have in common is joints. If you need more information you can go to Animal Diversity Web.

When a theorem bears the name of a person, such as the Kepler conjecture or the Pythagorean theorem, they are proper nouns. Other theorems that are named by their own description are common nouns.

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