Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram ABCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).

What formula can he use to determine the distance from point C to point D?

The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = [tex] \sqrt{( x_{1}- x_{0}) ^{2}+ ( y_{1}- y_{0}) ^{2} } [/tex]
CD = [tex] \sqrt{(a-0)^{2}+ (b-b)^{2} } [/tex]

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taylorsharp225 taylorsharp225 · Answer 2 · 2018-08-01T18:35:33+02:00

taylorsharp225 taylorsharp225

01-08-2018

Wrong on apex is is a-0+(b-b)2=a2=a

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Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram ABCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b). What formula can he use to determine the distance from point C to point D?

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Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram ABCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).

What formula can he use to determine the distance from point C to point D?