(Please ignore the scribbles on right.)
I was relatively sure it was D, since all we know is BQ=QP but not that DQ=QC or anything.
However, the answer was C.
Can someone explain why?
Thank you very much!
:P
I have a hunch, but it probably makes no sense.
Maybe the use of Mass Points works here.
Set a mass of two of point Q, one for M and one for P.
If B has a mass of one, then point A must have a different mass, and the two masses add to some number.
However, both mass A and mass C add to point P, which has a mass of one.
D has a mass greater than one.
Finally, that means the ACD triangle area is greater than that of ABP triangle.
I'm sure that there is a way better explanation.
these triangles in area are equal
ABQ = AQP
BCQ = PCQ
but BDQ is NOT equal to BQC
after some imagination, I could determine with confidence BDQ is less than PQC
can you prove that?