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Geometry please help!!!?

The coordinates for a rhombus are given as (2a, 0), (0, 2b), (–2a, 0), and (0, –2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry.

1 Answers

J
Jace Toy DDS

Feb 20, 2025

Side1: (2a,0) to (0, 2b)midpt: (a,b)Side2: (0, 2b) to (-2a, 0)midpoint: (-a,b)Side3: (-2a, 0) to (0, -2b)midpt: (-a, -b)Side4: (0, -2b) to (2a, 0)midpt: (a, -b)So the mid points form a rectangle from -a to a in X, and from -b to b in Y.Hope this helps!:)... Show More

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