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
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
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
