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An isosceles trapezoid

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Q: What kind of trapezoid is special whose legs are congruent?
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Are diagonals always congruent?

In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.


Kind of quadrilaterals?

Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent


Does a trapezoid have one pair of parallel sides?

Yes, a trapezoid is a special kind of parallelogram with only ONE pair of parallel sides.


If a polygon is not a square then it is not a rectangle?

Correct. A square is a rectangle, a special kind that is 'regular'--all its angles are congruent, and all its sides are congruent.


Can you draw a rhombus with congruent sides and angles?

Sure ! -- The sides of every rhombus are always congruent. -- If you make the angles congruent, then you have a special kind of rhombus called a "square".


Can a retangle be congruent to a square?

Technically, yes, because technically, a square is just a special kind of rectangle. So, technically, any rectangle with its length and width the same size is congruent to any other rectangle whose length and width are that size, and they're also both squares.


Is quadrilateral can be a trapezoid?

Yes, because a trapezoid has 4 sides. A trapezoid is a special kind of quadrilateral, one in which two of the four sides are parallel. So all trapezoids are quadrilaterals, but there are also a lot of other quadrilaterals that are not trapezoids.


Can a quadrilateral be a trapezoid?

Yes, because a trapezoid has 4 sides. A trapezoid is a special kind of quadrilateral, one in which two of the four sides are parallel. So all trapezoids are quadrilaterals, but there are also a lot of other quadrilaterals that are not trapezoids.


Is an quadrilateral a trapezoid?

Some are, and some are not. A trapezoid is a special kind of quadrilateral ... one in which two of the four sides are parallel. So all trapezoids are quadrilaterals, but there are also a lot of other quadrilaterals that are not trapezoids.


Are all angles congruent in a quadrilateral or parallelogram or rectangle or rhombus or square?

Rectangle and square (which is a special kind of rectangle).


Why is a trapezoid a quadrilateral but a quadrilateral is not a trapezoid?

For the same reason that a cat is an animal but an animal is not always a cat. Because a trapezoid is a special kind of quadrilateral. A quadrilateral is anything with four sides. A trapezoid has four sides, and also two of them are parallel to each other. Therefore some quadrilaterals are trapezoids, but most of them aren't.


What kind of quadrangle is a trapezoid?

A trapezoid is a quadrangle with one pair of parallel sides.