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Virat
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Asked: 2026-10-03T06:00:27+00:00 In:

Using a fact about parallelograms, show how to tile the plane using any given triangle. (Hint: Can you use the parallelogram tiling in the introduction?)

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Joining two congruent copies of any triangle along a shared edge forms a parallelogram. Since identical parallelograms tile the plane continuously, splitting each parallelogram into its two constituent triangles tiles the entire plane.

Class 9 Ganita Manjari Part 2 chapter 12 Quadrilaterals solutions
Class 9 New Ganita Manjari Part 2 Book Solutions

cbse class 9 maths ganita manjari part 2 solutionsclass 9 maths ganita manjari part 2 chapter 12 question answerfact about parallelogramsganita manjari part 2 chapter 12 quadrilaterals solutionsparallelogram tiling in the introduction
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    1. Rotate a copy of the triangle by 180° and join it with the original along an equal side to form a parallelogram. As established, identical parallelograms can tile the plane seamlessly without overlaps or gaps. By decomposing every parallelogram in that grid into the two original congruent triangles along their diagonals, we obtain a complete tiling of the plane using copies of the triangle.

       

      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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