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If the diagonals of a rhombus are 12 and 20, then what is the area of the quadrilateral formed by joining midpoints of consecutive sides of the rhombus? Sketch a diagram, identify the quadrilateral, prove that your identification is correct, and then find the area.

If the diagonals of a rhombus are 12 and 20, then what is the area of the quadrilateral formed by joining midpoints of consecutive sides of the rhombus? Sketch a diagram, identify the quadrilateral, prove that your identification is correct, and then find the area.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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If the diagonals of a rhombus are 12 and 20, then what is the area of the quadrilateral formed by joining midpoints of consecutive sides of the rhombus? Sketch a diagram, identify the quadrilateral, prove that your identification is correct, and then find the area.
Transcribed Image Text:If the diagonals of a rhombus are 12 and 20, then what is the area of the quadrilateral formed by joining midpoints of consecutive sides of the rhombus? Sketch a diagram, identify the quadrilateral, prove that your identification is correct, and then find the area.
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