Definition of Iso trapezoid
An isosceles trapezoid, also known as an isosceles trapezium, is a quadrilateral with two parallel sides that are of equal length
An isosceles trapezoid, also known as an isosceles trapezium, is a quadrilateral with two parallel sides that are of equal length. It has two non-parallel sides, which are also referred to as legs. The two legs are typically of unequal length, while the parallel sides are called bases.
In an isosceles trapezoid, the angles formed by the legs and the bases are not necessarily right angles, and they can vary in size. However, the angles formed by each base and the adjacent leg are always congruent, which means they have the same measure.
The diagonals of an isosceles trapezoid are also of equal length. One diagonal connects the midpoints of the two legs, while the other diagonal connects the midpoints of the bases.
Some properties of an isosceles trapezoid include:
1. The base angles, formed by each base and the adjacent leg, are congruent.
2. The diagonals are of equal length.
3. The opposite angles, formed by each leg and the non-parallel side, are supplementary (their measures add up to 180 degrees).
4. The sum of any two consecutive angles in an isosceles trapezoid is always 180 degrees.
By understanding the definition and properties of an isosceles trapezoid, you can use them to solve various problems and proofs in geometry.
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