1) In ΔRST, R = 5 cm, and ∠SRT = 45° and ∠RST = 45°. Which criterion can be used to construct ΔRST? a) S.A.S Criterion b) S.S.S Criterion c) A.S.A Criterion d) R.H.S Criterion 2) Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm. a) S.S.S Criterion b) A.S.A Criterion c) S.A.S Criterion d) R.H.S Criterion 3) The idea of equal alternate angles is used to construct which of the following? a) A line parallel to a given line b) A triangle c) A square d) Two triangles 4) A Given AB = 3 cm, AC = 5 cm,and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why? a) Two sides and included angle are given. b) The other two angles are not given. c) The vertex B cannot be uniquely located d) The vertex A coincides with the vertex C. 5) Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true? a) Δ PQR is equilateral. b) Δ PQR is acute angled. c) Both (a) & (b) d) Neither (a) nor (b) 6) Which vertex of ΔABC is right angled if AB = 8 cm, AC = 6 cm,and BC = 10 cm,? a) < C b) < A c) < B d) A or C 7) An isosceles triangle is constructed as shown in the figure. a) PR is the hypotenuse of ΔPQR. b) ΔPQR is an equilateral triangle. c) ΔPQR is a right angled triangle. d) If right angled ΔPQR has its equal angles measuring 45° each. 8) How many perpendicular lines can be drawn to a line from a point not on it? a) 1 b) 2 c) 0 d) Infinite 9) Which of the following is used to draw a line parallel to a given line? a) A Protector b) A set square c) A ruler & compasses d) A ruler 10) In which of the following cases can a triangle be constructed? a) Measures of three sides are given. b) Measures of two sides and an included angle are given. c) Measures of two angles and the side between them are given. d) All the above

Practical Geometry

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