Question

Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.

Answer 1

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 2

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.