Given triangle ABC.Line l contains vertex A and is parallel to BC,line k contains vertex C and is parallel to AB,line m contains vertex B and is parallel to AC.Lines l,k,m form triangle QRM .How to show that the triangle ABC is medial to the QRM.
Given triangle ABC.Line l contains vertex A and is parallel to BC,line k contains vertex C and is parallel to AB,line m contains vertex B and is parallel to AC.Lines l,k,m form triangle QRM .How to show that the triangle ABC is medial to the QRM.
Ok, let suppose that in front of A is Q, in front of B is P and in front of C is R.
ABCQ is parallelogram. So, AB=CQ
ABCP is parallelogram too, so AB=PC
AB=CQ+PC/2 so AB is the medial line of the triangle PQR.
The same for the other legs of the triangles.