Question

Prove this Question under the theroems. I will make you brainliest +50 points​

Answer 1

Answer + Step-by-step explanation:

a.

The converse of the Theorem :

In a triangle ,a line that passes through the midpoint of one side and parallel to another side, bisects the third side.

b.

In the triangle PMR :

• T is the midpoint of the side PR.

• TU // MR

Then (according to The converse of the midpoint theorem)

PU = UM

In the triangle PNM :

• U is the midpoint of the side PM.

• US // MN

Then (according to The converse of the midpoint theorem)

PS = SN

In the triangle NMP :

• S is the midpoint of the side PN.

• QR // PM

Then (according to The converse of the midpoint theorem)

MR = RN

In the quadrilateral PQNP ,the two diagonals QR and PN bisects each other

Hence , PQNP is a parallelogram .