In the adjacent figure, ΑΒΓΔ is a trapezoid (AB II ΓΔ) and EZ is its median. The non-parallel sides of AΔ and ΒΓ intersect at K. H, Θ are the means of ΚΑ and ΚΒ respectively. Prove that EZΗΘ is a trapezoid.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 41E
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In the adjacent figure, ΑΒΓΔ is a trapezoid (AB II ΓΔ) and EZ is its median. The non-parallel sides of AΔ and ΒΓ intersect at K. H, Θ are the means of ΚΑ and ΚΒ respectively. Prove that EZΗΘ is a trapezoid.
K,
H.
E
Transcribed Image Text:K, H. E
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