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Asked: 2026-10-03T06:00:40+00:00 In:

In a parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig. 12.34). Show that APCQ is a parallelogram.

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Diagonals of parallelogram ABCD bisect at O, so OA = OC and OB = OD. Since DP = BQ, subtracting gives OP = OQ. With diagonals AC and PQ bisecting each other, APCQ is a parallelogram.

Class 9 Ganita Manjari Part 2 chapter 12 question answer
Class 9 Quadrilaterals Solutions – Ganita Manjari Part II Chapter 12

ganita manjari part 2 chapter 12 quadrilaterals solutionsganita manjari part 2 chapter 12 question answerquadrilaterals solutions – ganita manjari part ii chapter 12show that apcq is a parallelogramtwo points p and q are taken on diagonal bd
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    1. Let O be the intersection point of the diagonals AC and BD of parallelogram ABCD. Since the diagonals of a parallelogram bisect each other, OA = OC and OB = OD. Given that DP = BQ, we have OP = OD – DP = OB – BQ = OQ. The diagonals AC and PQ of quadrilateral APCQ bisect each other at O, which proves APCQ is a parallelogram.

       

      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/

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