How are triangles similar by the angle-angle (AA) similarity criterion.

Define the the corresponding sides of similar triangles

NCERT Books for Session 2022-2023 are based on CBSE Board.

Important NCERT Book, Exercise 8.2, Question no: 4, Page No: 150.

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In ΔABD,

E is mid-point of AD [∵ Given]

and EG ∥ AB [∵ Given]

Hence, G is mid-point of BD [∵ Converse of Mid-point Theorem]

Similarly,

In ΔBCD,

G is mid-point of BD [∵ Prove above]

and FG ∥ DC [∵ Given]

Hence, F is mid-point of BC [∵ Converse of Mid-point Theorem]