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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

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

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 20CT: Use the drawing provided for the proof of the theorem The line segment that joins the midpoints of...
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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 D B G E H
Transcribed Image Text: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 D B G E H
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