Isosceles Trapezoid
A quadrilateral with one set of parallel sides and the other two sides are congruent
An isosceles trapezoid is a quadrilateral with two parallel sides and two non-parallel sides that are of equal length. Here are some key properties of an isosceles trapezoid:
1. The opposite angles are congruent. This means that the measure of angle A is equal to the measure of angle B, and the measure of angle C is equal to the measure of angle D.
2. The two non-parallel sides are congruent. This means that segment AB is equal to segment DC.
3. The diagonals are congruent. This means that segment AC is equal to segment BD.
4. The midsegment is congruent to each of the non-parallel sides. The midsegment of an isosceles trapezoid is the line segment that connects the midpoints of the non-parallel sides. It is parallel to both of the parallel sides, and its length is equal to half the sum of the lengths of the parallel sides.
5. The area of an isosceles trapezoid can be found using the formula A = ((b1 + b2) * h) / 2, where b1 and b2 are the lengths of the parallel sides, and h is the height of the trapezoid.
Examples of isosceles trapezoids include a kite, which is a type of quadrilateral with two pairs of adjacent sides that are congruent, and a parallelogram, which is a quadrilateral with two pairs of parallel sides.
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