Quadrilateral with Squares on the Sides
Explore the relationship of the two line segments formed by connecting the centers of the squares on the opposite sides of the quadrilateral.
Author Archive for: corrill
Entries by InterMath
Quadrilateral with Maximum Area
Find a quadrilateral with maximum area given a fixed angle and two fixed line segments.
Maximum Quadrilateral
Given three fixed line segments, find a fourth line segment so that the resulting quadrilateral formed by the four segments has maximum area.
Inscribed Quadrilateral
Do the angle bisectors of the opposite sides of an inscribed quadrilateral meet at right angles?
Four Dogs
Explore the paths of four dogs who each start moving from a different vertex of a square.
Paper Folding
Fold a sheet of paper into three equal areas.
Inscribed Rectangle
Find the inscribed rectangle with maximum area for a given triangle.
Inscribed Square
Find inscribed squares for a given triangle.
Cutting the Cake
Cut a square cake into n pieces so that all the pieces have equal amounts of cake and equal amounts of frosting.
Equal Portions
Cut various quadrilaterals into equal portions.