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Ex 9.4, 3 (Optional) - In Fig, ABCD, DCFE and ABFE are parallelograms

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Question 3 In Fig. 9.31, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF). Given, ABCD, ABFE and DCFE are parallelograms. Now, In ∆ ADE and ∆ BCF AD = BC AE = BF DE = CF ∴ ∆ADE ≅ ∆BCF Hence, ar (ADE) = ar (BCF) Hence Proved (Opposite sides of a parallelogram ABCD are equal) (Opposite sides of a parallelogram ABFE are equal) (Opposite sides of a parallelogram DCFE are equal) (SSS Congruency) (Area of congruent triangles is equal)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.