Isosceles Trapezoids
1. Base angles are congruent2. Legs are congruent3. Diagonals are congruent
An isosceles trapezoid is defined as a quadrilateral with two parallel sides (the bases) of unequal length, and two non-parallel sides (the legs) of equal length. Here are some important properties of isosceles trapezoids:
1. Base Angles: The base angles of an isosceles trapezoid are congruent.
2. Diagonals: The diagonals of an isosceles trapezoid are congruent.
3. Median: The median of an isosceles trapezoid is parallel to the bases and is equal to the average of the bases.
4. Height: The height of an isosceles trapezoid is the perpendicular distance between the bases. It is also equal to the distance between the midpoints of the legs.
5. Area: The area of an isosceles trapezoid can be calculated using the formula: A = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the bases and h is the height.
6. Symmetry: An isosceles trapezoid has line symmetry through its median.
7. Angles: The sum of the interior angles of an isosceles trapezoid is 360 degrees.
It is important to note that not all trapezoids are isosceles, and those that are not have different properties. Therefore, it is important to carefully identify the properties of a specific trapezoid before applying them in calculations or proofs.
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