Let K be the midpoint of AD. By the Midpoint Theorem, KH ∥ AB and KG ∥ CD. Since AB ∥ CD, K, H, G are collinear, making GH ∥ AB. If AB = CD, ABCD is a parallelogram where G and H coincide.
Ganita Manjari Part 2 chapter 12 question answer
Quadrilaterals Solutions – Ganita Manjari Part II Chapter 12
Let K be the midpoint of AD. In △DAB, KH joins midpoints, so KH ∥ AB. In △ADC, KG joins midpoints, so KG ∥ DC ∥ AB. By Euclid’s parallel postulate, points K, H, G lie on the same straight line, so line GH ∥ AB. We assume AB ≠ CD because if AB = CD, ABCD is a parallelogram whose diagonals bisect each other, making G and H the exact same point.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 12 Quadrilaterals Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-12/