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  2. Varignon's theorem - Wikipedia

    en.wikipedia.org/wiki/Varignon's_theorem

    An arbitrary quadrilateral and its diagonals. Bases of similar triangles are parallel to the blue diagonal. Ditto for the red diagonal. The base pairs form a parallelogram with half the area of the quadrilateral, A q, as the sum of the areas of the four large triangles, A l is 2 A q (each of the two pairs reconstructs the quadrilateral) while that of the small triangles, A s is a quarter of A ...

  3. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram. The base × height area formula can also be derived using the figure to the right. The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the ...

  4. Midpoint polygon - Wikipedia

    en.wikipedia.org/wiki/Midpoint_polygon

    The perimeter of the medial triangle equals the semiperimeter of the original triangle, and the area is one quarter of the area of the original triangle. This can be proven by the midpoint theorem of triangles and Heron's formula. The orthocenter of the medial triangle coincides with the circumcenter of the original triangle.

  5. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    The perimeter of the Varignon parallelogram equals the sum of the diagonals of the original quadrilateral. The diagonals of the Varignon parallelogram are the bimedians of the original quadrilateral. The two bimedians in a quadrilateral and the line segment joining the midpoints of the diagonals in that quadrilateral are concurrent and are all ...

  6. Man allegedly called 911 a total of 17 times and demanded a ...

    www.aol.com/man-allegedly-called-911-total...

    This guy gave new meaning to the slogan “Gottahava Wawa.” Police in East Windsor, N.J., arrested a 24-year-old man on Dec. 23, and charged him with misusing the town’s 911 system for ...

  7. Dry January: What is it and how beneficial can giving up ...

    www.aol.com/dry-january-beneficial-giving...

    A standard drink is 12 ounces of a regular beer, 8 ounces of a malt liquor, 5 ounces of a glass of wine, and 1.5 ounces of a spirit, according to the Centers for Disease Control and Prevention.

  8. Minnesota Parents Who Locked Their Kids in Cages for ‘Their ...

    www.aol.com/minnesota-parents-locked-kids-cages...

    A Minnesota couple has reportedly been sentenced to four years after they locked their children in cages for "their safety." The couple was arrested and charged with 16 counts in June 2023. They ...

  9. Perimeter of an ellipse - Wikipedia

    en.wikipedia.org/wiki/Perimeter_of_an_ellipse

    In more recent years, computer programs have been used to find and calculate more precise approximations of the perimeter of an ellipse. In an online video about the perimeter of an ellipse, recreational mathematician and YouTuber Matt Parker, using a computer program, calculated numerous approximations for the perimeter of an ellipse. [4]