File:Varignon parallelogram.svg

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	20:23, 24 September 2020		512 × 683 (4 KB)	Cmglee	{{Information \|description ={{en\|1=Proof without words of Varignon's theorem by CMG Lee. 1. An arbitrary quadrilateral and its diagonals. 2. Bases of similar triangles are parallel to the blue diagonal. 3. Ditto for the red diagonal. 4. The base pairs form a parallelogram with half the area of the quadrilateral, ''A<sub>q</sub>'', as the sum of the areas of the four large triangles, ''A<sub>l</sub>'' is 2 ''A<sub>q</sub>'' (each of the two pairs reconstructs the quadrilateral) while tha...

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Short title	Varignon parallelogram
Image title	Proof without words of Varignon's theorem by CMG Lee. 1. An arbitrary quadrilateral and its diagonals. 2. Bases of similar triangles are parallel to the blue diagonal. 3. Ditto for the red diagonal. 4. The base pairs form a parallelogram with half the area of the quadrilateral, Aq, as the sum of the areas of the four large triangles, Al is 2 Aq (each of the two pairs reconstructs the quadrilateral) while that of the small triangles, As is a quarter of Al (half linear dimensions yields quarter area), and the area of the parallelogram is Aq minus As.
Width	100%
Height	100%