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.
No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
Four sided figure. All sides are the same length. All angles are equal. Four right angles. Both diagonals are equal.
not in all shapes.
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.
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.
yes
rhombus
All but the square and rectangle.
No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
No, all quadrilaterals are trapeziums. I kite must have 2 pairs of adjacent sides equal in length.
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! :)
Four sided figure. All sides are the same length. All angles are equal. Four right angles. Both diagonals are equal.
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.
If the parallelogram happens to also be a rhombus (i.e. has all sides equal in length) then yes, otherwise no.
not in all shapes.
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.
"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.