Question

2. State and proof the following theorems with figure.
i. THEOREM 1 (Midpoint Theorem) The line segment joining the
midpoints of two sides of a triangle is parallel to
the third side and equal to half of it.


Given :
A triangle ABC in which D and E are the
midpoints of AB and AC respectively.

To prove :. DE || BC and DE = 1/2 BC.

Construction : Draw CFI BA such that CF meets DE produced at F. Join DC. ​

Answer 1

Answer:

A triangle ABC in which D and E are the

midpoints of AB and AC respectively.

To prove :. DE || BC and DE = 1/2 BC.

Construction : Draw CFI BA such that CF meets DE produced at F. Join DC.