Question

Which of the following statement is true ?
a) All the rhombuses are squares
b) each square is a parallelogram
c) each parallelogram is a square
d) each trapezium is a parallelogram​

Answer 1

Answer: True; squares fulfill all criteria of being a rectangle because all angles are right angle and opposite sides are equal. Similarly, they fulfill all criteria of a rhombus, as all sides are equal and their diagonals bisect each other.

(f) All parallelograms are trapeziums.

Answer: False; All trapeziums are parallelograms, but all parallelograms can’t be trapezoid.

(g) All squares are not parallelograms.

Answer: False; all squares are parallelograms

(h) All squares are trapeziums.

Answer: True

Answer 2

Answer:

a) All the rhombuses are squares

Step-by-step explanation:

• In contrast to a square, the lengths of all four sides of a rhombus are equal, the diagonals of a rhombus bisect each other, and all four angles of a rhombus are not equal to 90 degrees.

• Parallelograms are not all squares. Parallelograms have equal length opposite sides, hence squares with all sides equal are parallelograms. Rhombuses are the only kites that fly.

• Because a parallelogram contains two pairs of parallel sides, a trapezium is not a parallelogram. A trapezium, on the other hand, has only one pair of parallel sides.