In the figure X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg `PQ||` set DE, set `QR||` set EF. Fill in the blanks to prove that set `PR||` seg DF.

In the figure X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg PQ|| Seg DE, Seg QR|| Seg EF. Prove that Seg PR|| Seg DF.

In the adjoining figure X id any point in interior of triangle . Point X is joined to vertices of traingle. "seg "PQ||DE, "seg "QR||"seg"EF . Then fill in the blanks to prove that , "seg "PR||"seg " DF .

Take any point O in the interior of a triangle PQR. Is OQ+OR>QR?

Take any point O in the interior of a triangle PQR. Is OP+OQ>PQ?

If Q is a point on the side SR of a triangle Delta PSR such that PQ = PR then prove that PS > PQ

Take any point O in the interior of a triangle PQR. Is OP+OQ>PQ? ? (ii) OQ+OR>QR? (iii) OR+OP>RP?

In Fig. , PQR is a triangle, S is any point in its interior, show that . SQ + SR < PQ + PR .

In Fig. , PQR is a triangle, S is any point in its interior, show that . SQ + SR < PQ + PR .

In the figure, a point O inside triangleABC is joined to its vertices. From a point D on AO, DE is drawn parallel to AB and from a point E on BO, EF is drawn parallel to BC. Prove that DF || AC.