Tile by rotating adjacent copies 180° around edge midpoints or by mapping copies onto a Varignon parallelogram grid. The half-turn rotation method is preferred because it requires no initial background grid. Ganita Manjari Part 2 chapter 12 Quadrilaterals solutions Class 9 ...
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(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 ...
(i) By Varignon’s Theorem, PQRS is a parallelogram, so its diagonals PR and QS bisect each other. (ii) PQ = RS = AC/2 and QR = SP = BD/2. If AC = BD, PQRS is a rhombus, having perpendicular diagonals. Yes, ...
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 ...
By the Midpoint Theorem in △ABC, MN ∥ BC, so MN ∥ BD. In △ABD, line MN passes through the midpoint M of AB parallel to BD, so by Theorem 7 it bisects AD. Cbse Class 9 Maths Ganita Manjari Part ...