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2. Isosceles trapezoid - Wikipedia

   en.wikipedia.org/wiki/Isosceles_trapezoid

   Dual polygon. Kite. In Euclidean geometry, an isosceles trapezoid (isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. It is a special case of a trapezoid. Alternatively, it can be defined as a trapezoid in which both legs and both base angles are of equal measure, [1 ...

3. British flag theorem - Wikipedia

   en.wikipedia.org/wiki/British_flag_theorem

   The British flag theorem can be generalized into a statement about (convex) isosceles trapezoids.More precisely for a trapezoid with parallel sides and and interior point the following equation holds:

4. Reflection symmetry - Wikipedia

   en.wikipedia.org/wiki/Reflection_symmetry

   Triangles with reflection symmetry are isosceles. Quadrilaterals with reflection symmetry are kites, (concave) deltoids, rhombi, [2] and isosceles trapezoids.All even-sided polygons have two simple reflective forms, one with lines of reflections through vertices, and one through edges.

5. Trapezoid - Wikipedia

   en.wikipedia.org/wiki/Trapezoid

   The midsegment of a trapezoid is one of the two bimedians (the other bimedian divides the trapezoid into equal areas). The height (or altitude) is the perpendicular distance between the bases. In the case that the two bases have different lengths (a ≠ b), the height of a trapezoid h can be determined by the length of its four sides using the ...

6. Cyclic quadrilateral - Wikipedia

   en.wikipedia.org/wiki/Cyclic_quadrilateral

   Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic. A kite is cyclic if and only if it has two right angles – a right kite.A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.

7. Isosceles triangle - Wikipedia

   en.wikipedia.org/wiki/Isosceles_triangle

   Properties. convex, cyclic. Dual polygon. Self-dual. In geometry, an isosceles triangle (/ aɪˈsɒsəliːz /) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral ...

8. Pappus's centroid theorem - Wikipedia

   en.wikipedia.org/wiki/Pappus's_centroid_theorem

   The second theorem states that the volume V of a solid of revolution generated by rotating a plane figure F about an external axis is equal to the product of the area A of F and the distance d traveled by the geometric centroid of F. (The centroid of F is usually different from the centroid of its boundary curve C.) That is: =.

9. Rhind Mathematical Papyrus - Wikipedia

   en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus

   An isosceles triangle (a tract of land, say) has a base equal to 4 1/2 khet, and an altitude equal to 14 khet. Two line segments parallel to the base further partition the triangle into three sectors, being a bottom trapezoid, a middle trapezoid, and a top (similar) smaller triangle.