What's a coordinate proof? I need to write a coordinate proof to show that the diagonals of a rectangle have the same measure.
2007-02-04 05:31:08 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Coordinate proofs use formulas to prove their correctness.
Label the shorter legs of the rectangle as a and a' (a prime) and the longer legs as b and b' (b prime). Draw the diagonals and label them as c and c' (c prime).
State that opposite sides of a rectangle are equal length by definition of a rectangle.
State that the hypotenuse of a triangle can be found by squaring the base and the height of a triangle, adding them together, and taking the square root by Pythagorean theorem.
State that c and c' are equal by writing:
sq. rt. (a^2 +b^2) = c, sq. rt. (a'^2 + b'^2) = c'
That's it.
2007-02-04 05:40:43 · answer #1 · answered by Mikey C 5 · 1⤊ 0⤋
Well, I've studied linear mathematics to a reasonable degree but I've never heard of a "coordinate proof" before. Maybe it's a new fangled thing!
2007-02-04 13:35:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋
draw the rectangle , draw one diagonal , use similarity of two triangles thm .then draw other diagonal and again show two triangles are similar.you will get the result as two diagonals are of same measure.
2007-02-04 13:42:05 · answer #3 · answered by jchampak 1 · 0⤊ 0⤋
you use theroems and formulas to proove that the diagonals of the rectangle are equal.
Wikipedia almost always helps me!
2007-02-04 13:35:08 · answer #4 · answered by Anonymous · 0⤊ 1⤋