No.
Draw a rect. with dimensions of 1" by 2''. Note the angle formed by the diagonals.
Now lengthen the rect. to 1'" by 10". The angle formed by the base and the diag. has to be reduced in order for the diagonal to travel to the new corner (with the same rect. height).
This is not an actual proof. You can calculate the angle but I am not certain you can do it with geometry--need trig. With trig., knowing the two sides (you know the hypotenuse with geometry too so you could use any of the trig functions), you can calculate the tangent of the angle in the 1"x2" rect, it is 0.5000. The length of the base increases by 8" for the second rect., which changes the value of the tangent (0.10000) which in turn changes the degree of the angle. The diag. of a square bisects the vertex but no so with rectangles.
The diagonals are equal and they bisect each other.
The diagonals will not always bisect opposite angles in the rectangle.
Yes.
Yes
yes
Yes
The diagonals of a rectangle bisect the angles only if the rectangle is a square.
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.
No, a rectangle's diagonals do not bisect opposite angles.
The diagonals of a rectangle are congruent and they bisect each other.
No, but in a square they do bisect the angles
The diagonals will not always bisect opposite angles in a rectangle.
The diagonals are equal and they bisect each other.
No but the diagonals of a square bisect each other at right angles
The diagonals will not always bisect opposite angles in the rectangle.
Not unless the rectangle is square.