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Last updated at May 29, 2018 by Teachoo

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Ex 8.1, 12 ABCD is a trapezium in which AB CD and AD = BC . Show that A = B [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E. Given: ABCD is a trapezium where AB CD and AD = BC To prove: A = B Construction: Extend AB and draw a line through C parallel to DA intersecting AB produced at E Proof: AD CE & AE DC In AECD, both pair of opposite sides are parallel, AECD is a parallelogram AD = CE But AD = BC BC = CE So, CEB = CBE From (2) & (3) A = B Hence proved Ex 8.1, 12 ABCD is a trapezium in which AB CD and AD = BC . Show that (ii) C = D From (1) & (2) D = C Hence proved Ex 8.1, 12 ABCD is a trapezium in which AB CD and AD = BC . Show that (iii) ABC BAD In ABC and BAD, AB = BA B = A BC = AD ABC BAD Ex 8.1, 12 ABCD is a trapezium in which AB CD and AD = BC . Show that (iv) diagonal AC = diagonal BD In the last part we proved that ABC BAD AC = BD

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.