Answer:
i. The diagonals are congruent.
iii. Both pairs of opposite sides are parallel.
iv. The diagonals are perpendicular bisectors of each other.
Step-by-step explanation:
Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)
The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.
Note: A rectangle, therefore, has all the properties of a parallelogram:
Parallel opposite sides
Same length for opposite sides
The intersection of diagonals in the middle
A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.
A rectangle has a center of symmetry, which is the point of intersection of its diagonals.
Answer:
The diagonals are congruent.
Both pairs of opposite sides are parallel.
The diagonals are perpendicular bisectors of each other.
