if segment ab is congruent to segment CD then segment ac is congruent to segment bd (only if points a, b, c, and d are all collinear)
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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
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
It's Pythagoras...*gives a hurt look*... Anyway, Pythagoras was a Greek philosopher/mathematician (this was common in those times) who pioneered geometry in more ways than one, but is most notably known for discovering the relationships among the sides of a right triangle, thus the Pythagorean Theorem: a2+b2=c2.