The statement below is followed by four options. Each option is related to the item in the statement, but only one is always true. Select the option that always holds and makes the statement true.
"A parallelogram always has ______."
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Two pairs of parallel sides
The answer must hold for every parallelogram, without exception. An option that is present in most cases but can be missing in even one case is not always true.
Option (1) Two pairs of parallel sides — a parallelogram is a quadrilateral whose opposite sides are parallel, both pairs; without this it is not a parallelogram, so this is always true.
Option (2) Four right angles — a slanting parallelogram with angles 60° and 120° has no right angle; only rectangles and squares have four.
Option (3) Four equal sides — a parallelogram with sides 6 cm and 4 cm does not have four equal sides; only a rhombus or a square does.
Option (4) A line of symmetry — that same slanting parallelogram with sides 6 cm and 4 cm has no line of symmetry; only special ones such as a rectangle or a rhombus have one.