Find Perimeter of Quadrilateral with Midpoints of Sides

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The discussion focuses on calculating the perimeter of a quadrilateral formed by the midpoints of the sides of the original quadrilateral with vertices P(0,8), Q(-4,4), R(2,-2), and S(6,4). The midpoints of the sides are determined, and the perimeter of the resulting figure is calculated to be 20.2. The user initially struggled with the problem but ultimately clarified their understanding and successfully solved it.

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  • Familiarity with basic algebraic operations
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  • Study the properties of quadrilaterals and their midpoints
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Students in geometry, educators teaching coordinate geometry, and anyone interested in understanding the properties of quadrilaterals and their midpoints.

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I don't know how to tackle this question as I was absent from class the day it was taught but I need to know:

A quadrilateral has vertices P(0,8) Q(-4,4) R(2,-2) and S(6,4). Find the perimeter of the figure whose vertices are the midpoints of the sides of the quadrilateral.
 
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Firstly, this belongs in the homework section. Do you know how to start the question? Can you find the midpoints of the sides of the quadrilateral to start with?
 
Yes, I think I got it now. I had them figured out all along I just found the question wordy and didn't know where to go from next. I think I have it now, you get the midpoints, connect the dots with lines (in my head) and figure the perimeter of the new object.
 
Yeah I got the answer, it was 20.2. Sorry for the useless thread.
 

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