Question

if p and q are points of a trisection of a parellogram ABCD,prove that CQ||AP

Answer 1

Answer:

Step-by-step explanation:

In triangles DPC and BQA,

DP = BQ (Given)

AB = CD (ABCD is a parallelogram)

Therefore, CP = AQ

Similarly, AP = CQ

 

Thus, APCQ is a parallelogram.

Hence, PQ and AC bisect each other.