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

#1**+1 **

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

#1**+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