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Are all trapezoids paralleograms?
No. Trapezoids are not parallelograms at all.
Are all paralleograms rectangles?
Some paralleograms are rectangles. A right paralleogram is a rectangle. In the case of a rectangle, all angles formed by the sides are right angles and opposite sides are parallel. The sum of adjacent angles in a parallelogram is 180 degrees.
What shape has 2 opposite identical faces and some other faces which are paralleograms?
A prism.
Are paralleograms a trapezoids?
Parallelograms and trapezoids have different geometrical properties but they are both 4 sided quadrilaterals.
Are adjacent sides congruent for all paralleograms?
Opposite sides are congruent in every parallelogram.Adjacent sides are congruent only if the parallelogramhappens to be a rhombus.
Can the diagonals of a parallelogram be the same length?
Yes, but only when the shape is a rectangle (or square). Other paralleograms will have one diagonal longer than the other. And yes, rectangles and squares ARE parallelograms.
Why don't the properties of paralleograms aplly to trapezoids?
Because a parallelogram has 2 pairs of opposite parallel sides whereas a trapezoid has only 1 pair of opposite parallel sides of different lengths but they are both 4 sided quadrilaterals.
What are false statements about quadrilaterals?
Probably the main one is that all quadrilaterals are rectangles. This isn't true- they can be paralleograms and trapezoids. A quadrilateral just means that something had four sides. So anything that adds to that, or takes away from it, is therefore false.
Can two paralleograms with different shapes have the same area?
Definitely. You can pick an area, and there are an infinite number of parallelograms, including an infinite number of rhombuses and an infinite number of rectangles, all with different shapes, that all have that same area. But there's only 1 square, and only 1 circle !
Are all quadrilaterals parallelograms?
It is a quadrilateral but not a parallelogram since it does not have two pair of parallel sides. no, but all parallelograms are quadrilaterals. Quadrilateral means four sides, paralleograms means the sides are parallel. The only quadrilateral parallelograms are Square, rectangle, rhombus. * * * * * ... and parallelograms themselves: 2 pairs of parallel sides which are also equal.
