9th Maths-II, Ch-4: Construction of triangles
ABACulUS Coaching Classes
Question paper:
Q2. Construct a triangle ABC whose perimeter is 12 cm, angle B = 60°, and angle C = 45°. (4M)
Q3. In a triangle, ABC, BC = 2 cm, AB = 6 cm, and angle B = 90° draw triangle ABC. (4M)
Q4. Construct a triangle if its perimeter is 10.4 cm and two angles are 45° and 120°. (4M)
Q5. Multiple Choice Questions: (1M each)
i) With the help of a ruler and a compass it is not possible to construct an angle of:
(A) 37.5° (B) 40° (C) 22.5° (D) 67.5°
ii) The construction of a triangle ABC, given that BC = 6 cm, angle B = 45° is not possible when the difference of seg AB and seg AC is equal to:
(A) 6.9 cm (B) 5.2 cm (C) 5.0 cm (D) 4.0 cm
iii) The construction of a triangle ABC, given that BC= 3 cm, angle C = 60° is possible when the difference of seg AB and seg AC is equal to
(A) 3.2 cm (B) 3.1 cm (C) 3.0 cm (D) 2.8 cm
Q6. Write True or False in each of the following and give reasons for your answers: (2M each)
i). An angle of 52.5° can be constructed.
ii). An angle of 42.5° can be constructed.
iii). A triangle ABC can be constructed in which AB = 5 cm, angle A = 45°, and BC + AC = 5 cm.
iv). A triangle ABC can be constructed in which BC = 6 cm, angle C = 30°, and AC - AB = 4 cm.
v). A triangle ABC can be constructed in which angle B = 105°, C= 90°, and AB + BC + AC = 10 cm.
vi). A triangle ABC can be constructed in which angle B=60°, angle C= 45°, and AB+BC+AC= 12 cm.
vii). Every point on the perpendicular bisector of a segment is equidistant from its endpoints.
Q7. Fill in the blanks: (1M each)
i). Addition of measure of all three angles of a triangle is ......
ii). If two remote interior angles in a triangle are respectively 30° and 45° then ......is the measure of the (remote) exterior angle.
iii). Angle opposite to equal sides of an isosceles triangle are ........
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