Mid-point theorem states that:

The line segment joining the mid-points of two sides of a triangle is not parallel to the third side and equal to half the length of the third side.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
Mid-point theorem states that
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
Hence, option D is correct.

Suggest Corrections

Similar questions

Q. Prove that the line segment joining the mid point of the two sides of a triangle is parallel to the third side and equal to half the third side.

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

Match the following table:

$\begin{matrix} Theorem Statement & Theorem Name (a) The line segment joining the mid-points of & (i) Basics proportionality theorem two sides of a triangle is parallel to the third side (b) A line parallel to one side of a triangle divides & (ii) Mid point theorem the other two sides into parts of equal poportion (c) If a line divides the any tw o sides of a triangle & (iii) Converse of Basic porpotionality theorem in the same ratio, then the line must be parallel to the third side. \end{matrix}$

Q. Prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side.

Q. Assertion : ABCD and PQRC are rectangles and Q is mid - point of AC. Then DP = PC.

Reason : The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it.
Which of the following is correct?

Join BYJU'S Learning Program