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Kriti
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Asked: 2026-09-28T10:14:22+00:00 In:

In a quadrilateral ABCD, suppose AB ∥ DC. Can ABCD be non-convex? What if we instead assume AB = CD? What if we instead assume ∠A = ∠C?

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If AB ∥ DC, ABCD cannot be non-convex because consecutive interior angles sum to 180°, preventing reflex angles. If AB = CD or ∠A = ∠C, it can be non-convex, such as in an arrowhead shape.

Class 9 Ganita Manjari Part 2 chapter 12 question answer
Class 9 Ganita Manjari Part 2 chapter 12 Quadrilaterals solutions

chapter 12 quadrilaterals solutionsganita manjari part 2 solutions available!if we instead assume ab = cdquadrilateral abcdsuppose ab ∥ dcwhat if we instead assume ∠a = ∠c
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    1. When AB ∥ DC, consecutive interior angles along transversals add up to 180°, so every internal angle is strictly less than 180°, making it strictly convex. However, if we only assume AB = CD or ∠A = ∠C, ABCD can be non-convex. An example is a symmetric arrowhead dart, where opposite side lengths or opposite base angles match while one vertex indents inward beyond 180°.

       

      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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