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  2. Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Isosceles_trapezoid

    Note that a non-rectangular parallelogram is not an isosceles trapezoid because of the second condition, or because it has no line of symmetry. In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram), and the diagonals have equal ...

  3. Antiparallelogram - Wikipedia

    en.wikipedia.org/wiki/Antiparallelogram

    [6] [7] The convex hull of an antiparallelogram is an isosceles trapezoid, and every antiparallelogram may be formed from an isosceles trapezoid (or its special cases, the rectangles and squares) by replacing two parallel sides by the two diagonals of the trapezoid. [4]

  4. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    An isosceles trapezoid is a trapezoid where the base angles have the same measure. As a consequence the two legs are also of equal length and it has reflection symmetry . This is possible for acute trapezoids or right trapezoids (as rectangles).

  5. Antiparallel lines - Wikipedia

    en.wikipedia.org/wiki/Antiparallel_lines

    The tangent to a triangle's circumcircle at a vertex is antiparallel to the opposite side. The radius of the circumcircle at a vertex is perpendicular to all lines antiparallel to the opposite sides. red angles are of equal size, ED and the tangent in B are antiparallel to AC and are perpendicular to MB

  6. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    (since these are angles that a transversal makes with parallel lines AB and DC). Also, side AB is equal in length to side DC, since opposite sides of a parallelogram are equal in length. Therefore, triangles ABE and CDE are congruent (ASA postulate, two corresponding angles and the included side). Therefore, =

  7. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Isosceles trapezium (UK) or isosceles trapezoid (US): one pair of opposite sides are parallel and the base angles are equal in measure. Alternative definitions are a quadrilateral with an axis of symmetry bisecting one pair of opposite sides, or a trapezoid with diagonals of equal length. Parallelogram: a quadrilateral with two pairs of ...

  8. British flag theorem - Wikipedia

    en.wikipedia.org/wiki/British_flag_theorem

    2 Isosceles trapezoid. 3 Naming. 4 See also. ... with parallel sides and and interior point the following ... together with the perpendicular lines used in the proof, ...

  9. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    A kite and its dual isosceles trapezoid. Kites and isosceles trapezoids are dual to each other, meaning that there is a correspondence between them that reverses the dimension of their parts, taking vertices to sides and sides to vertices. From any kite, the inscribed circle is tangent to its four sides at the four vertices of an isosceles ...