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Unit 12 Brain Teaser | Construction Of Quadrilaterals | Class-8 DAV Secondary Mathematics
1. Tick (✓) the correct options.
(i) The number of parts required to construct a quadrilateral is
(a) 5 (b) 4 (c) 3 (d) 2
(ii) To construct a parallelogram, the minimum number of dimensions needed is
(a) 2 (b) 3 (c) 4 (d) 1
(iii) The minimum number of dimensions needed to construct a square is
(a) 1 (b) 2 (e) 3 (d) 4
(iv) To construct a rectangle, the minimum number of dimensions needed is
(a) 1 (b) 4 (c) 3 (d) 2
(v) Which of the fifth dimension needed to construct the given quadrilateral?
(a) BD (c) angle C
(c) DC (d) cannot be constructed
2. Construct the following quadrilaterals if possible. Justify your answer if construction is not possible.
(a) Construct a quadrilateral ABCD in which AB = CD = BC = AD = 5 cm and diagonal AC = 6.5 cm.
(b) Construct a quadrilateral PQRS in which PQ = QR = RS = 5 cm, diagonals PR = QS = 7.5 cm.
(c) Construct a quadrilateral ABCD in which AB = CD = 5 cm, BC = 4 cm, diagonals AC = 9 cm, BD = 8 cm.
(d) Construct a quadrilateral ABCD in which AB = BC = CD = DA = 5cm and ∠A =120°. What type of quadrilateral is it?
(e) Construct a quadrilateral PQRS in which PQ = RQ = 4 cm, and ∠P = ∠Q = ∠S = 90. What type of quadrilateral is it?
(f) Construct a quadrilateral ABCD in which AB = BC = CD = AD = 5cm . Diagonal AC = 7 cm and diagonals bisect each other at right angles. What type of quadrilateral is it?
(g) Construct a quadrilateral ABCD in which AB = CD = 3 cm, BC = AD = 4 cm and diagonals are 5 cm each. What type of quadrilateral is it?
(h) Construct a quadrilateral ABCD in which all sides are 5 cm each and ∠A = ∠B = 90°.
