Which of the following can be used to prove that the slope of a line is the same between any two points that lie on a line? the sides of similar quadrilaterals the hypotenuse of similar right triangles the base of similar equilateral triangles the shorter side of similar right triangles

the hypotenuse of similar right triangles

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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