State the mid-point theorem and its converse.
Mid-point Theorem
Original Khojo Papers practice question — not from a past board paper.
The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Its converse states that a line drawn through the mid-point of one side parallel to another side bisects the third side.
From the same topic and chapter, at a similar level.
State the mid-point theorem and its converse.
Mid-point Theorem
In a trapezium ABCD with AB parallel to DC, E and F are the mid-points of the non-parallel sides AD and BC. Prove that EF is parallel to AB and equal to half the sum of AB and DC.
Mid-point Theorem
Prove that the quadrilateral formed by joining the mid-points of the sides of any quadrilateral is a parallelogram.
Mid-point Theorem
In triangle ABC, D and E are the mid-points of AB and AC. If BC = 12 cm, find DE.
Mid-point Theorem
In triangle ABC, D, E and F are the mid-points of BC, CA and AB. If the perimeter of ABC is 24 cm, find the perimeter of triangle DEF.
Mid-point Theorem
D and E are the mid-points of AB and AC of triangle ABC. If DE = 5 cm, then BC is:
Mid-point Theorem