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How do you prove two points are equidistant to a line if the line goes through the midpoint of the two points?
Wiki User
∙ 14y ago
The line goes through the midpoint, which is halfway between points. The distances are equal to each other, and proves that they are equidistant.
Wiki User
∙ 14y ago
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Prove the mid-line theorem?
Let ABC be a triangle. Let D and E be the mid points of AB and AC respectively. Then the mid-line theorem states that DEBC and DE = BC/2.Extend DE beyond E to F such that DE = EF. Since AE = CE, triangles ADE and CEF are equal, making CFAB (or CFBD, which is the same) because, for the transversal AC, the alternating angles DAE and ECF are equal. Also,CF = AD = BD, such that BDFC is a parallelogram. It follows that BC = DF = 2·DE which is what we set out to prove.Conversely, let D be on AB, E on AC, DEBC and DE = BC/2. Prove that AD = DB and AE = CE.This is because the condition DEBC makes triangles ADE and ABC similar, with implied proportion,AB/AD = AC/AE = BC/DE = 2.It thus follows that AB is twice as long as AD so that D is the midpoint of AB; similarly, E is the midpoint of AC.
How many points required to immigrate to Canada?
You will need 67 points in the online quiz and must be able to prove that you have everything you said. You also need at least $10, 000.00 in cash to support yourself and an additional $10, 000 for each family member you are bringing across the border.
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Prove that if it were true then there must be a contradiction.
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You cannot prove that because it's false
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94 to be exact
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Guide for maths class 9th CBSE?
prove that mid-point of the hypotenuse of a right angle is equidistant from its tree vertices p(-2,5),q(1,3) and r(-1,0).
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Shays's rebellion helped to prove which of the following points?
The Articles of Confederation did not work
