anonymous
  • anonymous
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. Be sure to include the formulas.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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radar
  • radar
Your diagram is excellent, and shows that indeed the rectangle is formed. The width being 2a and the height being 2b.
anonymous
  • anonymous
Thanks! Can you help me with the formulas?:)

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radar
  • radar
Using the diagram and connecting the dots. The top horizontal line segment is y=b and the segment is the distance of the endpoints which is a-(-a) = 2a, the same goes for the bottom horizontal segment. The bottom is y=-b The vertical segments on the left and right would be x=-a (left side) and x=a on the right. The distance from the endpoints is b-(-b)=2b
radar
  • radar
So the rectangle formed has the dimensions of 2a X 2b
radar
  • radar
Since the lines are horizontal and vertical they form 90 degrees angles where they intersect. A characteristic of rectangle.
radar
  • radar
Thats all that I can come up with, hope it is enough.
anonymous
  • anonymous
Yes, thank you so much!:) You've been such as big help!:)
radar
  • radar
NP, good luck with your studies.

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