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a.) Find the coordinates of point Q in terms of  a, b, and c

 

B.) Since PQRS is a parallelogram, SQ and PR bisect each other. Use the coordinates to verify that SQ and PR bisect each other.   Respond with a justification 

 

 

Guest Mar 22, 2018

Best Answer 

 #1
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a) Q(2a + 2b, 2c)

 

b) if PR and QS bisect each other then T, which is the point of intersection of PR and QS is also the midpoint of both PR and QS.

 

midpoint PR, T((2a + 2b )/2,(0 + 2c)/2)

 

therefore T(a+b,c)

 

similarly midpoint QS is ((2a+2b+0)/2,(2c+0)/2)

 

ie also (a+b,c)

 

hope that helps

Guest Mar 23, 2018
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1+0 Answers

 #1
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+1
Best Answer

a) Q(2a + 2b, 2c)

 

b) if PR and QS bisect each other then T, which is the point of intersection of PR and QS is also the midpoint of both PR and QS.

 

midpoint PR, T((2a + 2b )/2,(0 + 2c)/2)

 

therefore T(a+b,c)

 

similarly midpoint QS is ((2a+2b+0)/2,(2c+0)/2)

 

ie also (a+b,c)

 

hope that helps

Guest Mar 23, 2018

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