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How do isosceles trapezoids relate to parallelograms?

Answer 1

Ella Armstrong

An isosceles trapezoid is a parallelogram for which all four sides have the same length.

In general the definition of a parallelogram only requires that opposite sides be the same length.

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Answer 2

Ella Armstrong

Isosceles trapezoids are a type of trapezoid where the non-parallel sides (legs) are congruent. Parallelograms are quadrilaterals with opposite sides that are parallel and congruent. Isosceles trapezoids can be considered a special case of parallelograms where one pair of opposite sides is parallel, and the other pair is not only parallel but also congruent. Therefore, isosceles trapezoids share some properties with parallelograms, such as opposite angles being congruent and consecutive angles being supplementary. However, unlike parallelograms, isosceles trapezoids do not necessarily have opposite sides that are equal in length.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.