In a trapezium ABCD AB||DC if P is the midpoint of AD then prove that

1.	In a trapezium ABCD AB\|\|DC if P is the midpoint of AD then prove that the line drawn through P and parallel to AB bisects BC.
Answer» Step-by-step explanation: In triangle ADC, P is midpoint of AD. (Given) PR\|\|DC (Given) So, R is midpoint of AC (By mid point theorem) Now, In triangle ACB, R is midpoint of AC (PROVED above) AB \|\| RQ ( Given) So, Q is midpoint of BC ( By midpoint theorem) Therefore, BQ=QC Please mark as brainliest :-)

In a trapezium ABCD AB||DC if P is the midpoint of AD then prove that the line drawn through P and parallel to AB bisects BC.

Answer»

Step-by-step explanation:

In triangle ADC,

P is midpoint of AD. (Given)

PR||DC (Given)

So,

R is midpoint of AC (By mid point theorem)

Now,

In triangle ACB,

R is midpoint of AC (PROVED above)

AB || RQ ( Given)

So,

Q is midpoint of BC ( By midpoint theorem)

Therefore,

BQ=QC