Theorem 8.2 - Chapter 8 Class 9 Quadrilaterals

Last updated at Dec. 16, 2024 by

Theorem 8.2 - Class 9 - In parallelogram, opposite sides are equal - Theorems

 

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Theorem 8.2: In a parallelogram, opposite sides are equal. Given: A parallelogram ABCD with AC as its diagonal To prove: ΔABC ≅ ΔADC Proof: Opposite sides of parallelogram is parallel So, AB ∥ DC and AD‖∥ BC In Δ ABC & Δ ADC ∠ BAC = ∠ DCA AC = AC ∠ DAC = ∠ BCA ∴ ΔABC ≅ ΔADC Hence, AB = CD & AD = BC Hence proved

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo