Art of Problem Solving

Isosceles trapezoid: Difference between revisions

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An '''isosceles trapezoid''' is a geometric figure that lies in a [[plane]].  It is a specific type of [[trapezoid]], and its properties include:
An '''isosceles trapezoid''' is a geometric figure that lies in a [[plane]].  It is a specific type of [[trapezoid]] in which the legs have the same length.  Its properties include:


* congruent diagonals
* congruent diagonals


* 2 pairs of congruent angles
* 2 pairs of congruent angles
* properties of a [[trapezoid]]


* one pair of congruent sides
* one pair of congruent sides


* opposite angles are supplementary
* opposite angles are supplementary
* the segment joining the midpoints of the bases is perpendicular to the bases
* properties of a [[trapezoid]]

Revision as of 09:47, 12 July 2006

An isosceles trapezoid is a geometric figure that lies in a plane. It is a specific type of trapezoid in which the legs have the same length. Its properties include:

  • congruent diagonals
  • 2 pairs of congruent angles
  • one pair of congruent sides
  • opposite angles are supplementary
  • the segment joining the midpoints of the bases is perpendicular to the bases