Question

prove the midpoint theorem​

Answer 1

Answer:

Objective:

This topic gives an overview of Mid-point Theorem.

The Mid-point Theorem

You have studied many properties of a triangle as well as a quadrilateral. Now let us study yet another result which is related to the mid-point of sides of a triangle. Perform the following activity.

Draw a triangle and mark the mid-points Eand F of two sides of the triangle. Join the points E and F.

Measure EF and BC. Measure ∠ AEF and ∠ ABC.

You will find that :

 so, 

Repeat this activity with some more triangles. So, you arrive at the following theorem

Theorem 1



The line segment joining the mid-points of two sides of a triangle is parallel to the third side.

You can prove this theorem using the following clue:

Observe the figure in which E and F are mid-points of AB and AC respectively and CD || BA.

∆ AEF ≅ ∆ CDF (ASA Rule)

So, EF = DF and BE = AE = DC. Therefore, BCDE is a parallelogram. This gives EF || BC.

In this case, also note that  

You will see that converse of the above theorem is also true which is stated as below:

Step-by-step explanation:

Hope it will help you

please mark as brainliest plz.plz.plz

Answer 2

Answer:

Step-by-step explanation:

class 9 ki theorm