Ex 9.4, 3 (Optional) 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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.

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