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Is a rectangle a special case of parallelogram why?
yes it is it is a parallelogram of its angles is right or The two diagonals are equal in length
A quadrilateral with equal diagonals and no right angles?
An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.
What are names of quadrilaterals which there diagonals do not bisect?
they are called parallelogram in which diagonals are equal
Is t he two diagonals connecting opposite corners of a rhomboid must always be equal?
This is false for all rhomboids (a distinct parallelogram such that 4 sides are equal, and has non-right angles), since by congruency, a parallelogram can be flipped on its axis (with 2 closer vertices), producing 2 unequal length diagonals.
Which is the best classification for a parallelogram with perpendicular diagonals?
It is a rhombus. All four sides have the same length and the diagonals are therefore perpendicular.
If a parallelogram is a rectangle then it's diagonals are what?
Its diagonals are equal in length
The diagonals of a parallelogram must be what?
The diagonals of a parallelogram are congruent (equal in length) and bisect each other.
Do all parallelogram have diagonals of equal length?
yes
What is true of the diagonals of a rectangle that isn't true of the diagonals of a parallelogram?
They are of equal length.
Are the diagonals of a parallelogram always equal in length?
No. They are equal in only a few circumstances.
Is every property of parallelogram also a property of all rectangles?
No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
Is a rectangle a special case of parallelogram why?
yes it is it is a parallelogram of its angles is right or The two diagonals are equal in length
Relationship of the diagonals of parallelogram?
The diagonals of a parallelogram are parallel and the same length.
A quadrilateral with equal diagonals and no right angles?
An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.
What kind of quadrilateral do you get from diagonals that are not equal in length bisect each other and are not perpendicular?
A parallelogram.
Is a parallelogram's diagonals perpendicular?
If the parallelogram happens to also be a rhombus (i.e. has all sides equal in length) then yes, otherwise no.
Do the diagonals of parallelogram bisect each other?
Yes. Other things about parallelograms: -opposite sides are equal in length. -opposite angles are equal in length. -diagonals bisect each other.
