Home/ Questions/Q 551071
Next
In Process
Piyush365
  • 1
Asked: 2026-10-05T07:29:21+00:00 In:

(i) Suppose ABCD is a parallelogram and M, N are midpoints of AB and CD respectively. Show that segments DM and BN trisect segment AC. (ii) Use part (i) to find a procedure to trisect any given segment PQ. Find two other ways to trisect PQ, one using Exercise 11 above and a third using the Centroid Theorem.

  • 1

(i) MBND is a parallelogram, so MD ∥ BN. Applying Theorem 7 to △ABY and △CDX proves the intercepts along AC are equal. (ii) Construct a parallelogram with diagonal PQ, draw parallel lines dividing an auxiliary ray into three parts or construct a triangle where PQ serves as a median.

Class 9 Ganita Manjari part 2 Chapter 12 Solutions
Class 9 Ganita Manjari Part 2 Chapter 12 Page 79 Question Answer

abcd is a parallelogramcbse class 9 maths ganita manjari part 2 solutionsclass 9 maths ganita manjari part 2 chapter 12 question answerexercise 11 above and a third using the centroid theoremganita manjari part 2 chapter 12 quadrilaterals solutionsto find a procedure to trisect any given segment pq
Share

    1 Answer

    1. (i) Since MB = DN and MB ∥ DN, MBND is a parallelogram, making MD ∥ BN. Let DM and BN intersect AC at X and Y. In △ABY, MX ∥ BY through midpoint M gives AX = XY. In △CDX, NY ∥ DX through midpoint N gives XY = YC, proving trisection: AX = XY = YC. (ii) 1. Complete a parallelogram on diagonal PQ. 2. Intercept three equal segments using parallel lines. 3. Construct a triangle with median PQ; the centroid trisects it in a 2:1 ratio.

       

      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/

      • 0
    Leave an answer

    Leave an answer

    Browse