Find Perimeter of Quadrilateral with Midpoints of Sides

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In summary, the conversation discusses finding the perimeter of a figure formed by connecting the midpoints of the sides of a given quadrilateral. The conversation starts with the question being asked by someone who missed the lesson, and then progresses to them figuring out the solution with the help of the other person. The final answer is determined to be 20.2.
  • #1
w3tw1lly
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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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  • #2
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?
 
  • #3
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.
 
  • #4
Yeah I got the answer, it was 20.2. Sorry for the useless thread.
 

1. What is a quadrilateral?

A quadrilateral is a polygon with four sides and four angles.

2. How do you find the perimeter of a quadrilateral?

To find the perimeter of a quadrilateral, you add the lengths of all four sides together.

3. What are the midpoints of sides in a quadrilateral?

The midpoints of sides in a quadrilateral are the points that divide each side into two equal parts.

4. How do you use the midpoints of sides to find the perimeter of a quadrilateral?

To find the perimeter of a quadrilateral using the midpoints of sides, you first find the lengths of the four sides using the distance formula. Then, you add these lengths together to get the perimeter.

5. Can you find the perimeter of a quadrilateral if you only know the midpoints of the sides?

Yes, you can find the perimeter of a quadrilateral if you only know the midpoints of the sides. As long as you use the distance formula to find the lengths of the sides, you can then add them together to get the perimeter.

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