Question

Write the converse of mid point theorem.

Answer 1

Define the converse of the midpoint theorem.

• "The line segment in a triangle connecting the midpoints of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side," according to the midpoint theorem.
• The converse of the midpoint theorem states that a line drawn through the midpoint of one of a triangle's sides and parallel to the other side bisects the triangle's third side.
• The midpoint theorem and the converse of the midpoint theorem are used to determine particular information about the lengths of triangle sides.

Hence, the converse of the midpoint theorem states that a line drawn through the midpoint of one of a triangle's sides and parallel to the other side bisects the triangle's third side.