Geometry and Mensuration Worksheet-6

Geometry and Mensuration Worksheet-6

1. Each angle of a square is of measure

(a) 30º               (b) 45 º              (c) 60º               (d) 90º

2. Which of the following statement is false?

(a) Using protector, angle of any measure between 0º and 180º can be drawn

(b) A line has two end points

(c) An angle whose measure is greater than 90º is an obtuse angle

(d) Two coinciding rays with a common end point form an angle of measure 0º

3. The angle between two perpendicular lines is

(a) 30º               (b) 60º               (c) 90º               (d) 180º

4. If two lines are perpendicular to the third line those two lines are ______

(a) Parallel                                    (b) Perpendicular

(c) Cannot be determined         (d) None of these

5. Chose the pair of complementary angles.

(a) 30º, 150º    (b) 76º, 14º       (c) 65º, 65º       (d) 120º, 30º

6. Number of interior angles formed in the triangle are

(a) 1                    (b) 2                    (c) 3                   (d) 4

7. The measure of ∠POQ in the following figure is

(a) 90º               (b) 70º               (c) 20º               (d) 110º

8. The measure of ∠AOB in the following figure is

(a) 90º               (b) 44º               (c) 224º             (d) 134º

9. In the following adjoining figure, it is given that ∠A = 60º, CE || BA, and ∠ECD = 65º then ∠ADB = _______

(a) 60°                (b) 55º                (c) 70º                (d) 90º

10. In the adjoining figure, it is given that AB || CD. ∠BAO = 180º and ∠OCD = 20º then ∠AOC = ____

(a) 120º             (b) 52º               (c) 132º              (d) 150º

11. In the adjoining figure, it is given that l || m, is a transversal. Then the value of x is.

(a) 130º             (b) 50º               (c) 120º              (d) None

12. In the adjoining figure, it is given that D and E are the mid points of AB and AC respectively. If ∠A = 80º ∠C = 35º then ∠EDB = _____

(a) 120º             (b) 160º             (c) 70º                (d) 115º

13. In the adjoining figure, a ΔABC has been given in which AD is its median, E is the midpoint of AD, BE produced meets AC in F and DG || EF meets AC at G. If AC = 5.4 cm then the length of AF is

(a) 3.6 cm         (b) 2.7 cm          (c) 1.8 cm           (d) 10.8 cm

14. In the adjoining figure, ABC is a triangle in which D and E are the mid points of AB and AC respectively. If BC = 4.6 cm then DE =____

(a) 9.2 cm         (b) 2.3 cm         (c) 5.0 cm           (d) 6.4 cm

15. In a ΔABC, D is any point on AB and DE || BC meets AC at E, If AD = 2.5 cm, DB = 6 cm and AE = 3 cm then AC =

(a) 8.5 cm         (b) 10.2 cm       (c) 5 cm              (d) 12 cm

16. If lines AB, AC, AD and AE are parallel to a line l, then ______

(a) A,B,C,D,E are collinear points

(b) A,B,C,D,E are non-collinear points

(c) AB & AC are parallel and AD & AE are perpendicular

(d) None of these

17. If two lines are perpendicular to the third line, then those two lines are

(a) Perpendicular to each other

(b) Parallel to each other

(c) Either parallel or perpendicular

(d) Neither parallel nor perpendicular

18. If ABCD is a quadrilateral and E,F,G,H are the midpoints of AB, BC, CD and DA respectively, then EFGH is a

(a) Rectangle    (b) Square         (c) Rhombus     (d) Parallelogram

Answer Key:

(1)-(d); (2)-(b); (3)-(c); (4)-(a); (5)-(b); (6)-(c); (7)-(d); (8)-(b); (9)-(b); (10)-(b); (11)-(a); (12)-(d); (13)-(c); (14)-(b); (15)-(b); (16)-(a); (17)-(b); (18)-(d)