Same chapter3 marksDifficulty: Medium
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
3 marksDifficulty: Medium
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.
Original Khojo Papers practice question — not from a past board paper.
Answer
12 cm
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Each side of DEF is half of the parallel side of ABC by the mid-point theorem, so the perimeter is halved.
Related questions
From the same topic and chapter, at a similar level.
Same chapter1 markDifficulty: Medium
D and E are the mid-points of AB and AC of triangle ABC. If DE = 5 cm, then BC is:
Mid-point Theorem
Same chapter3 marksDifficulty: Medium
In triangle ABC, D and E are the mid-points of AB and AC. If BC = 12 cm, find DE.
Mid-point Theorem
Same chapter4 marksDifficulty: Hard
Prove that the quadrilateral formed by joining the mid-points of the sides of any quadrilateral is a parallelogram.
Mid-point Theorem
Same chapter2 marksDifficulty: Easy
State the mid-point theorem and its converse.
Mid-point Theorem
Same chapter2 marksDifficulty: Easy
State the mid-point theorem.
Mid-point Theorem