With the help of a ruler and a compass it is not possible to construct an angle of:
The construction of a triangle ABC, given that BC = 6 cm, DB = 45° is not possible when difference of AB and AC is equal to:
The construction of a triangle ABC, given that BC = 3 cm, DC = 60° is possible when difference of AB and AC is equal to:
Write True or False in each of the following. Give reasons for your answer:
An angle of 52.5° can be constructed.
An angle of 42.5° can be constructed.
A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.
Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.
Draw a line segment AB of 4 cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?
Draw an angle of 80° with the help of a protractor. Then construct angles of
(i) 40° (ii)160° and (iii) 120°.
Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Construct a square of side 3 cm.
Construct a rectangle whose adjacent sides are of lengths 5 cm and 3.5 cm.
Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.
Construct each of the following and give justification:
A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.
A triangle PQR given that QR = 3cm, ∠PQR = 45° and QP – PR = 2 cm.
A right triangle when one side is 3.5 cm and sum of other side and the hypotenuse is 5.5 cm.
An equilateral triangle if its altitude is 3.2 cm.
A rhombus whose diagonals are 4 cm and 6 cm in lengths.