Which of the following statements are true (T) and which are false (F) ?
(i) In a parallelogram, the diagonals are equal.
(ii) In a parallelogram, the diagonals bisect each other.
(iii) In a parallelogram, the diagonals bisect each other at right angles.
(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
(v) If all the angles of a quadrilateral are equal, it is a parallelogram.
(vi) If three sides of a quadrilateral are equal, it is a parallelogram.
(vii) If three angles of a quadrilateral are equal, it is a parallelogram
(viii) If all the sides of a quadrilateral are equal it is a parallelogram.
(1) | Rectangle | (p) | A quadrilateral having its opposite sides equal and parallel. |
(2) | Square | (q) | A parallelogram having its opposite sides equal and each of the angle is a right angle. |
(3) | Parallelogram | (r) | A parallelogram having all sides equal and each of the angle is a right angle. |
(4) | Rhombus | (s) | A quadrilateral in which a pair of opposite sides are parallel. |
(5) | Trapezium | (t) | A parallelogram having all sides equal. |
(1) Rectangle | (p) A quadrilateral having its opposite sides equal and parallel. |
(2) Square | (q) A parallelogram having its opposite sides equal and each of the angle is a right angle. |
(3) Parallelogram | (r) A parallelogram having all sides equal and each of the angle is a right angle. |
(4) Rhombus | (s) A quadrilateral in which a pair of opposite sides are parallel. |
(5) Trapezium | (t) A parallelogram having all sides equal. |
Which of the following statements are true., (T) and which are false (F)?
(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures 90∘.
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure 90∘.