(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

CoolStuffYT Mar 22, 2020

#1**+2 **

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.

tertre Mar 23, 2020

#2**+2 **

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?

CalculatorUser Mar 23, 2020