Geometric Proof

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Jun 2, 2022.

1. nycmathguy

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Let me see.

To show the prove, I must find the distance or midpoint from (0, 0) to (a + b, c) and (b, c) to the point (a, 0). Yes?

nycmathguy, Jun 2, 2022
2. MathLover1

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"To show the prove"- you are not showing prove

you are proving or demonstrating that the diagonals intersecting at their midpoints

MathLover1, Jun 2, 2022
nycmathguy likes this.
3. nycmathguy

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The work that must be done here is the actual proof.
Must I find the distance or midpoint from (0, 0) to (a + b, c) and (b, c) to the point (a, 0)?

nycmathguy, Jun 2, 2022
4. nycmathguy

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Let big M = midpoint from (b, c) to (a, 0).

M = [(b + a)/2, (c + 0)/2]

M = [(a + b)/2, (c/2)]

Let little m = midpoint from (0, 0) to (a + b, c).

m = [(0 + a + b)/2, (0 + c)/2]

m = [(a + b)/2, (c/2)]

Correct?

nycmathguy, Jun 3, 2022