Question

What is the Converse of the mid point theorem?

Answer 1

The converse of the midpoint theoremstates that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”.

Answer 2

Answer:

The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”.

Midpoint Theorem Example

The example is given below to understand the midpoint theorem.

Example:

In a triangle ABC, the midpoints of BC, CA, AB are D, E, and F respectively. Find the value of EF, if the value of BC = 14 cm

Solution:

Given: BC = 14 cm

To find the value of EF.

Midpoint Theorem Example

If F is the midpoint of AB and E is the midpoint of AC, then we can write it as:

EF = 1/2 (BC)

Now, substitute the value of BC

EF = 1/2(14)

EF = 7 cm

Therefore, the value of EF = 7cm.