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avatar+1180 

(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

 Mar 22, 2020
 #1
avatar+4593 
+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.

 Mar 23, 2020
 #2
avatar+2856 
+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?

 Mar 23, 2020

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