AIR MATH

Math Question

5 Points
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram \( A B C D \) 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 \( D ? \)
A. \( (a-b)^{2}+(b-b)^{2}=a^{2} \)
B. \( (a-0)^{2}+(0-0)^{2}=a^{2} \)
C. \( \sqrt{(a-0)^{2}+(b-b)^{2}}=\sqrt{a^{2}}=a \)
D. \( \sqrt{(a-0)^{2}+(0-0)^{2}}=\sqrt{a^{2}}=\partial \)

Solution

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