Two triangles are on the same base and between the same parallels. Prove that the sides or sides produced intercept equal segments on any straight line parallel to the base. Let ABC, DBC be the triangles. Draw GEHF parallel to BC meeting AB, AC, DB, DC produced in E, F, G, H respectively. EF will be equal to GH. CONSTRUCTION : Through F draw FLK || AB; through G draw GNM || CD. Produce BC to L, N and AD to M, K. Join BF, GC A B G E H

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