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

S1. Ans.(d)

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?

(a) 10

(b) 12

(c) 14

(d) 15

S2. Ans.(c)

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.

(a) 3

(b) 4

(c) 2

(d) None of these

Q15. For the given perimeter, which of the following has the largest area?

(a) Triangle

(b) Square

(c) Hexagon

(d) Circle

S15. Ans.(d)

Sol. For the given perimeter, circle has the largest area.