(i) Reconstruct corner △A’PS ≅ △APS, then extend A’P through P to get B’ and continue similarly for C’, D’. (ii) Point reflections across midpoints ensure collinearity and matching lengths. (iii) A square has equal, perpendicular sides; since sides equal AC/2, BD/2 and are parallel to diagonals, AC = BD and AC ⟂ BD.
Cbse Class 9 Maths Ganita Manjari Part 2 Solutions
class 9 maths ganita manjari part 2 chapter 12 question answer
(i) Reconstruct △A’PS congruent to △APS. Extend A’P past P by length A’P to locate B’, extend B’Q through Q by length B’Q to find C’ and extend C’R through R by length C’R to find D’.
(ii) Successive point reflections across midpoints P, Q, R, S guarantee each segment is straight and preserved in length, yielding △SDR ≅ △SD’R and making A’B’C’D’ ≅ ABCD.
(iii) In PQRS, sides are parallel to diagonals AC, BD and equal half their lengths. If PQRS is a square, its sides are equal and perpendicular, forcing AC = BD and AC ⟂ BD. Conversely, perpendicular and equal diagonals create four equal sides with right angles, forming a square.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 12 Quadrilaterals Question Answer (2026-27)
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