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Asked: 2026-09-30T07:13:04+00:00 In:

(i) If P, Q, R are the midpoints of sides AB, AC, BC respectively of △ABC, show that △PQR is congruent to △QPA and to two other triangles which you should identify. (ii) Suppose someone erases △ABC, leaving only △PQR on the paper. Can you reconstruct △ABC from △PQR?

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(i) By the Midpoint Theorem, PQ = BC/2 = BR = RC, QR = AB/2 = AP = PB and PR = AC/2 = AQ = QC, so △PQR ≅ △QPA ≅ △RPB ≅ △CQR by SSS.
(ii) Yes, construct lines through each vertex parallel to the opposite side.

Ganita Manjari part 2 Chapter 12.3 Solutions
Class 9 Ganita Manjari Part 2 Chapter 12 Page 67 Question Answer

acbccbse released class 9 ganita manjari part 2 bookclass 9 maths ganita manjari part 2 chapter 12 question answerganita manjari part 2 chapter 12 quadrilaterals solutionsif pqr are the midpoints of sides abtwo other triangles which you should identify
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    1. (i) By the Midpoint Theorem, each segment connecting two midpoints equals half the opposite third side and is parallel to it. Therefore, PQ = RC = BR, QR = AP = PB and RP = AQ = QC. By SSS congruence, △PQR ≅ △QPA ≅ △RPB ≅ △CQR.
      (ii) Yes. Through points P, Q and R, draw lines parallel to QR, PR and PQ respectively. Their intersections form the vertices C, B and A of △ABC.

       

      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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