The segments joining the midpoints of consecutive sides of an isosceles trapezoid HOME form a rhombus, with HE congruent OM. P, Q, R, and S are the midpoints of the sides of the trapezoid. Prove:Quadrilateral PQRS is a rhombusr

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 37E: In Exercises 32 to 37, write a formal proof of each theorem. If the midpoints of the sides of a...
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The segments joining the midpoints of consecutive sides of an isosceles trapezoid HOME form a rhombus, with HE congruent OM. P, Q, R, and S are the midpoints of the sides of the trapezoid.
Prove:Quadrilateral PQRS is a rhombusr

 

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