0
No. Even in the non-US use of the term (a quadrilateral with at least one set of parallel lines), the lengths of the parallel lines may not be the same, and/or the angles formed by each adjacent side may be different (as in a rhomboid), resulting in diagonals of extremely different lengths.
Only in rectangles are diagonals "always" of equal length.
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
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
Properties of a square?
Four sided figure. All sides are the same length. All angles are equal. Four right angles. Both diagonals are equal.
A shape are the diagonals equal?
not in all shapes.
Is a square sometimes a rhombus?
By definition, a rhombus is a parallelogram with all its sides equal in length and is symmetrical about each of its diagonals..A square is a rectangle with all its sides equal in length and is symmetrical about its diagonals and the axes perpendicularly bisecting each pair of opposite sides.Consequently, a square can never be a rhombus but it could be argued that a rhombus whose vertex angles all become 90° then becomes a square.
What are the properties of the diagonals of a rectangle?
A Rectangle is a quadrilateral (four sided polygon) with two pairs of equal and parallel sides (opposite sides are parallel and equal, one pair is usually a different length from the other pair but if they are equal it is called a square), and all angles are right angles (90°). It has two diagonals which have the properties:The diagonals are always congruent (of equal length);The diagonals bisect each other (cut each other into two equal parts);The diagonals do not bisect the angles (unless the rectangle is a square when they do);The diagonals are not perpendicular (unless the rectangle is a square when they do).PROOF of the diagonals congruent:Take a rectangle ABCD with diagonals AC and BD.Using Pythagoras on the triangles ACD and BCD:AC² = AD² + CD²BD² = BC² + CD²But as ABCD is a rectangle AD = BC since they are opposite and parallel; thus:AC² = AD² + CD² = BC² + CD² = BD²Thus, as AC and BD are the diagonals, they are equal.Therefore the diagonals of a rectangle are congruent.
Do all parallelogram have diagonals of equal length?
yes
Which quadrilateral has All sides are the same length the diagonals are not equal in length?
rhombus
Which quadrilaterals have diagonals that are not equal in length?
All but the square and rectangle.
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 quadrilateral always a kite?
No, all quadrilaterals are trapeziums. I kite must have 2 pairs of adjacent sides equal in length.
Are the diagonals of a rectangle equal in length all the time?
it depends on if all the sides of the rectangle, like a square, fall under CPCTC. if that is accurate, then the diagonals will all be the same :) hopefully this helps! :)
Properties of a square?
Four sided figure. All sides are the same length. All angles are equal. Four right angles. Both diagonals are equal.
How does a square differ from a rhombus?
A square is a rhombus with all angles 90o. When the angles of a rhombus are not all 90o, it differs from the square in this respect, and the diagonals are not of equal length unlike those of a square. A rhombus is like a square in that all its sides are equal in length, opposite sides are parallel and the diagonals are perpendicular and bisect each other.
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.
A shape are the diagonals equal?
not in all shapes.
Is a square sometimes a rhombus?
By definition, a rhombus is a parallelogram with all its sides equal in length and is symmetrical about each of its diagonals..A square is a rectangle with all its sides equal in length and is symmetrical about its diagonals and the axes perpendicularly bisecting each pair of opposite sides.Consequently, a square can never be a rhombus but it could be argued that a rhombus whose vertex angles all become 90° then becomes a square.
Is the diagonals of rhombus congruent?
"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.
