Q1. The two parallel lines are cut by two distinct transversals, then the quadrilateral formed by these four lines will always be
(a) A parallelogram
(b) A rhombus
(c) A square
(d) A trapezium
Sol. The quadrilateral obtained will always be a trapezium as it has two lines which are always parallel to each other.
Q2. The sum of the measures of the angles of regular polygon is 2160°. How many sides does it have?
Sol. Sum of all angles = (n – 2) × 180
⇒ 2160 = (n – 2) × 180
⇒ n = 14. Hence the polygon has 14 sides.
Q3. Find the length of the tangent from a point which is at a distance of 5 cm from the centre of the circle of radius 3 cm.
(d) None of these