In rectangle ABCD, diagonals AC and BD meet at E. Angles BAC and DCA are alternate (since AB and DC are parallel) and are therefore equal. The same is true of angles ABD and CDB. Also, AB = DC, so that triangles ABE and CDE are congruent. Thus, |AE| = |EC| and |BE| = |ED|, that is, the point E bisects both AC and BD.
QED
The diagonals are equal and they bisect each other.
Yes.
Yes
yes
The diagonals of any parallelogram (square, rhombus, rectangle, rhomboid) bisect each other. The difference is the the diagonals are equal in length for a square and rectangle, and not equal for a rhombus or rhomboid (oblique diamond).
Yes it does - they bisect each other at the exact centre of the rectangle.
Diagonals never bisect sides. They join the ends of sides.In a rectangle, the diagonals always bisect each other.
The diagonals of a rectangle are congruent and they bisect each other.
The diagonals are equal and they bisect each other.
No but the diagonals of a square bisect each other at right angles
The diagonals of a square (which always bisect each other) are the same length.
Yes
Yes.
Yes
Yes, they do.
Yes
yes