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Ex 8.1, 12 - ABCD is a trapezium in which AB || CD and AD = BC - Ex 8.1

Ex 8.1, 12 - Chapter 8 Class 9 Quadrilaterals - Part 2

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Ex 8.1, 12 - Chapter 8 Class 9 Quadrilaterals - Part 3

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Ex 8.1, 12 - Chapter 8 Class 9 Quadrilaterals - Part 4

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Ex 8.1, 12 - Chapter 8 Class 9 Quadrilaterals - Part 5

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Transcript

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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.