Question

(A) A rhombus with 4 acute angles.
(B) A parallelogram with 4 angles of equal measure.
(C) A rhombus with sides that measures 4 cm, 4cm, 8 cm, and 8 cm.
(D) A parallelogram with sides that measures 2 cm, 4 cm, 6 cm and 8 cm.
Which of these shapes mentioned above is possible?

• A. A rhombus with 4 acute angles.
• B. A parallelogram with 4 angles of equal measure.
• C. A rhombus with sides that measures 4 cm, 4cm, 8 cm, and 8 cm.
• D. A parallelogram with sides that measures 2 cm, 4 cm, 6 cm and 8 cm.

Answer 1

The correct option is B A parallelogram with 4 angles of equal measure.

(1) Not possible ; because in a rhombus 4 angles either 90${}^{\circ }$ or both obtuse and acute.

(2) Possible ; If parallelogram is of type square or rectangle then all the angle are of equal measure.

(3) Not possible ; In rhombus all four sides are of equal measure.

(4) Not possible; In parallelogram pair of opposite sides are equal and parallel.