Q. Name each of the following parallelograms.
(i) The diagonals are equal and the adjacent sides are unequal.
(ii) The diagonals are equal and the adjacent sides are equal.
(iii) The diagonals are unequal and the adjacent sides are equal.
(iv) All the sides are equal and one angle is 60°.
(v) All the sides are equal and one angle is 90°.
(vi) All the angles are equal and the adjacent sides are unequal.
Ans: (i) rectangle (ii) square (iii) rhombus (iv) rhombus (v) square (vi) rectangle
Q. State whether True or False.
a) All rectangles are squares
Answer: All squares are rectangles but all rectangles can’t be squares, so this statement is false.
(b) All kites are rhombuses.
Answer: All rhombuses are kites but all kites can’t be rhombus
(c) All rhombuses are parallelograms
(d) All rhombuses are kites.
(e) All squares are rhombuses and also rectangles
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.
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.
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