Pracatial Geometry

PRACATIAL GEOMETRY 1. Points that don’t lie on the same line are called _______ A) Collinear points B) Non-Collinear points C) Coplaner points D) Non-Coplanar points ANS : B 2. If two different lines in a plane have a point in common, then the lines are called A) Concurrent lines B) Intersecting lines C) Coplanar lines D) both (B) & (C) ANS : D 3. Which of the following statement is true? A) A line segment is a set of points B) A line segment is always a part of a line C) A line segment has two end points D) All of the above ANS : D 4. Of three collinear points A,B, and C), if AB + BC = AC, then we say that A) A is between B and C B) B is between A and C C) C is between A and B D) none of these ANS : B 5. If A, B and C are three collinear points then which of the following A) AB + BC + AC B) AC – BC = AB C) AC – AB = BC D) All of the above ANS : D 6. Which of the following statement is false _______ A) A ray is a part of a line B) A ray has two end points C) A ray is a set of points D) None of these ANS : B 7. During the rotation, at one stage two rays becomes opposite rays. Then the angle so formed is called A) Zero angle B) Straight angle C) Reflex angle D) No angle can form ANS : B 8. If the terminal ray coincide with the initial ray without any rotation then the angle formed is A) zero angle B) straight angle C) complete angle D) reflex angle ANS : A An angle whose measure is 900 is called A) An acute angle B) Obtuse angle C) ) Right angle D) Reflex angle ANS : C 9. An angle whose measure is 1800 is called A) Right angle B) Reflex angle ANS : C 10. C) Straight angle D) Obtuse angle 11. Two angles in a plane have the common vertex, a common side and their interiors do not have a common point. Such angles are called A) Congruent angles B) Adjacent angles C) Linear angles D) Supplementary angles ANS : C If the sum of the measure of two angles is equal to 900 they are called A) Adjacent angles B) Complementary angles C) Supplementary angles D) vertically opposite angles ANS : B 12. 13. If two complementary angles have equal measures, the measure of each angle is A) 900 B) 450 C) 600 D) 00 ANS : B 14. The measure of an angle is 200 more than the measure of its supplement s A) 800 B) 1000 C) 700 D) 1100 ANS : B 15. In the given figure, lines 1 and m intersect at a point. If a  500 , then the measure of l b c A) 500 ANS : A B) 300 a m d C) 600 D) 1400 c is 16. In the adjacent figure, SPM = 1100 & SPQ = 550 the measure of MPQ is M P Q S A) 450 ANS : C B) 1100 17. l  700 In the given figure C) 550 . If AB||CD then 2 D) 650 = B A A) 700 ANS : C 18. D 1 2 C B) 200 C) 1100 D) 900 If ||m and n is the transversal then the value of x is x l m A) 600 ANS : A B) 1200 n 600 C) 700 D) 1300 19. In the adjacent figure, AB||CD and value of BAC  ACE CEF is A) 1600 ANS : D 20. CD||EF . CD B) 2400 In the following figure . DE||AB is the bisector of . C) 1800 If A  600 & ACE If D) 3600 B  800 , then ACE  ACB  BCD C E A) 400 D A B) 1800 B C) 600 D) 800 ANS : B 21. I  450 In the adjacent figure a b and c is their transversal. If a then 8 = b 1 4 2 3 5 6 6 7 c A) 350 ANS : D B) 450 C) 1450 ACE  800 then D) 1350 is the 22. In the adjacent figure PQ||RS . If , QPR  600 then Q b  a = S b a A) 600 P R B) 1200 C) 1800 D) 300 C) No D) None of these ANS : A 23. A line has __________ end points A) One B) Two ANS : C 24. A line extends definitely in __________ directions. A) Both B) Only one direction C) Right D) Left ANS : A 25. A Name the given line : A) AB ANS : D B) BC B C D C) BC D) All of the above 26. Points lying on the same line are called __________ A) Collinear points B) Similar points C) Coplanar points D) All ANS : A 27. No. Of lines can be drawn passing through two different points in a plane is A) One B) Two C) Infinite D) No line ANS : A 28. No. Of curves that can be drawn passing through two points in a plane A) One B) Two C) Infinite D) Finite ANS : C 29. No. Of lines that can be drawn passing through three non collinear points taking two at a time A) One B) Two C) Three D) Six ANS : C 30. No. Of lines that can be drawn passing through three non collinear points taking two at a time A) One B) Two C) Three D) Six ANS : A 31. No. Of lines can we draw passing through three collinear points A) One B) Two C) Three ANS : B D) Infinite 32. The formula for the number of lines joining two points at a time is n  n  1 n  n  1 n n  3 n  n  3 2 2 2 2 A) B) C) D) ANS : A 33. A flat surface extending indefinitely in all directions is called A) Plane B) Line C) Parallelogram ANS : C A plane is a flat surface extending indefinitely in directions A) One B) Two C) All ANS : A D) Triangle 34. D) None 35. No. Of lines can be drawn passing through a given point in a plane. A) An Unlimited B) Only one C) Finite D) None of these ANS : B 36. Two lines are in the same plane and they are not intersecting. Such lines are calleD) A) Intersecting lines B) Parallel lines C) Non- parallel lines D) None of these ANS : B 37. Points belonging to the same plane are called A) Collinear points B) Co-planar points C) Non collinear points D) Intersecting points ANS : D 38. Lines belonging to the same plane are called A) Parallel lines B) Non - intersecting lines C) Intersecting lines D) Co-planar lines ANS : B 39. The point through which the concurrent lines pass is called the A) Intersecting point B) Point of concurrence C) Collinear point D) All of the above ANS : B 40. The set of all points is called A) Plane B) Space ____________ C) Surface D) All ANS : B 41. Space is set of points. A) Finite C) Collection of ANS : B Lines and planes are subsets of A) Plane B) Space ANS : D B) An Infinite D) None of the above 42. C) Surface Area D) All 43. Two segments having the same length are called A) Equal segments B) Similar Segments C) Congruent segments D) All of the above ANS : D 44. If AB = 4.5cm and CD = 2.5cm then the value of 2AB – 3CD is A) 2.5cm B) 2cm C) 1cm ANS : C If AB = 8cm and CD = 4.2cm then the value of 4AB + CD/3 is A) 3,4cm B) 16.2cm C) 18.2cm ANS : C D) 1.5cm 45. The line divided into two parts called A) Line B) Line segment C) Rays ANS : A D) 33.4cm 46. A ray has ________ end point(s) A) One B) Two ANS : B D) All 47. C) No end points D) Infinite 48. Two rays are extending indefinitely in the opposite directions of the same line. Such rays are called A) Intersecting rays B) Opposite rays C) Such type of rays does not exist D) None of these ANS : C An angle whose measure is greater than 900 and less than 1800 is called A) An acute angle B) An Obtuse angle C) Right angle D) Reflex angle ANS : B 49. 50. One complete angle = ––––––– Right angles A) 2 B) 4 C) 3 ANS : B D) 5 51. The magnitude of the angle between the hands of a clock when the time is 3’0 clock A) 1200 B) 1500 C) 1800 D) 900 ANS : D 52. A ray which divides an angle into two congruent angles is called of the angle A) Bisector B) Congruent C) Measure D) None ANS : A 53. The pair of adjacent angles, whose non common arms are opposite rays is called A) A linear pair B) Adjacent angles C) Complementary angles D) Supplementary angles ANS : A 54. If two lines intersect, then the angles formed having no common side are called angles A) Adjacent angles B) Complementary angles C) Vertically opposite D) Supplementary ANS : C 55. The supplementary angle of 31° is A) 590 B) 1390 C) 1490 D) 690 C) 1400 D) 500 ANS : C 34. The complementary angle of 30° is A) 600 B) 1500 ANS : A 56. Angle between two parallel lines is A)00 B)900 C) 1800 D)3600 ANS : A 57. Angle between two perpendicular lines is A) 00 B) 900 C) 2700 D) 1800 ANS : B 58. The coplanar lines which do not intersect are called A) Pa rallel lines B) Perpendicular lines C) Non Intersecting lines D) none ANS : A 59. A line which intersects two or more given lines at different points is called to the given lines. A) Parallel B) Perpendicular C) Transversal D) Equal ANS : C 60. 1, m and n are lines n a plane if A) l ||n B) n||l ANS : D If l  n and then A) l  n B) ANS : B l ||m and m||n C) then l ||n||m D) All 61. l m C) Both 1 & 2 D) None 62. In a triangle ABC, and AB = AC then the triangle ABC is ________ A) Equilateral B) Isosceles C) Both a & b D) None ANS : A 63 A simple closed figure bounded by line segment is called a A)) SegmentB) polygon C) line ANS : B A polygon with three sides is called A) Parallelogram C) decagon ANS : D D) ray 64. B) pentagon D) triangle 65. A point lies on a triangle if it lies on any one of its A) Sides B) angles C) both (A) and (B) ANS : A 66. A triangle divides a plane in A) Two B) three ANS : B sets of points C) four A triangle has six components namely A) 4 sides, 4 angles C) 5 sides, 5 angles ANS : D D) neither (A) or (B) D) one 67. 68. Sum of the angles of a triangle. A) 3600 B) 1800 B) 2 sides, 2 angles D) 3 sides, 3 angles C) 5400 ANS : B 69. A triangle in which all sides are equal A) E equilateral B) Isosceles C) scalene D) none of these ANS : A D)10800 70. A Triangle in which two sides are equal is called an A) Equilateral B) Isosceles C) scalene ANS : B D) none of these 71. In isosceles triangle the unequal side is called _____ of triangle A) Base B) angle C) both (A) and (B) ANS : A The base angles of a Isosceles triangle are A) congruent B) not congruent C) both (A) & (B) ANS : A D) height 72. 73. If each angle of a triangle is less than 90° it is called A) Acute B) obtuse C) right ANS : A D) unequal angled triangle D) none 74. In a triangle if one of the angles is 90° it is called angled triangle A) acute B) Right C) obtuse ANS : B 75. In triangle ABC , , = ? A) 300 B) 400 D) none C) 200 D)500 C) Three D) Four ANS : A 76. No. of obtuse angles can triangle have A) one B) two ANS : A 77. Can a triangle have two right angles? A) No B) Yes C) both ANS : A A triangle having 900, 450 angles, then the triangle is A) Right angled isosceles triangle B) acute angled C) obtuse angled D) None ANS : A 78. A triangle having 1000.600.200 angles then the triangle is A) obtuse angled B) Right angled C) acute angled D) None ANS : A 79. 80. A Triangle having 450,550,800 angles is called A) Acute angled B) obtuse angled C) Right angled D) None D) None ANS : A 81. The sides are 15cm, 8crn, 4cm. can you form a triangle? A) No B) Yes C) both ANS : A D) None 82. Sum of any two sides in a triangle is ___________ than third side A) greater B) less C) equal ANS : A D) both (A)&(B) 83. If two sides of a triangle are unequal the measure of the angle opposite to the longer side is then the measure of an angle opposite to the shorter side A) greater B) bigger C) both (A) and (B) D) smaller ANS : C 84. If two angle of a triangle are unequal, then the side opposite to the greater angle is then the side opposite to smaller angle. A) longer B) shorter C) smaller D) both (B) & (C) ANS : A 85. Each angle of an equilateral triangle is ___________ A) Congruent B) equal C) unequal ANS : B The side opposite to right angle is called _________ A) hypotenuse B) adjacent side C) opposite side ANS : A D) both (A) & (B) 86. In the triangle PQR then the triangle PQR is A) scalene B) isosceles C) acute angled ANS : D D) small side 87. The sum of lengths of sides is called its A) perimeter B) volume ANS : A D) equilateral 88. Perimeter of a triangle ABC is A) BC+CD+AB B) a+b+c ANS : D C) area D) both a & b C) both a & b D) a b c 89. 90. If measure of three angles of a triangle are X – 2, X + 6, x + 8 then the angles are A) 540, 620, 640 B) 530, 630, 660 C) 530, 360, 640 ANS : A D) 570, 630, 600 91. Which of the following are false? I) Every equilateral triangle is an Isosceles Triangle II) A triangle can have two obtuse angles III) A triangle must have three acute angles A) I & II B) II & III C) III & I ANS : B 92. If 2x, x 3x are angles of a triangle, then the angles are A) 600, 300, 800 B) 600, 300, 900 C) 500, 400, 90 ANS : B 93. D) I, II, III D) 600,600,600 If 3x – 5, x + 10 4x + 5 are angles, find the angles ? A) C) ANS : A 58 30 10 ,31 ,900 4 4 900 ,10 ,900 B) D) 580 ,320 ,900 490 ,710 ,600 94 . Into what type of parts is a figure divided by bisecting it? A) Unequal B) Equal C) Triangular D) Perpendicular Ans: B 95. Identify the instruments used to bisect a given line segment. A) A scale and a protractor B) Scale and compasses C) Scale and setsquares D) A scale Ans : B 96. What do you call two lines intersecting at a point? A) Perpendicular lines B) Parallel lines C) Bisectors lines Ans: D D) Intersecting lines 97. An angle of 15 ∘ is drawn using a pair of compasses and a ruler. How is it done? A) Bisecting 60 ∘ angle. B) Bisecting 60 ∘ and 120 ∘ angles. C) Bisecting 60 ∘ and then bisecting it again. D) Bisecting a 60 ∘ and 180 ∘ angles. Ans: C 98. Which of the following is an angle that can be constructed using compasses and a ruler? A) 20 ∘ B) 80 ∘ C) 60 ∘ D) 110 ∘ Ans: C 99. How do you draw a 90 ∘ angle? A) By drawing a perpendicular to a line from a point lying on it. B) By bisecting a 120 ∘ angle. C) By bisecting a 60 ∘ angle. D) By drawing multiples of 45 ∘ angle. Ans: A 100. An angle ∠XYZ=75 ∘ is bisected by an angular bisector YU−→−−. Then what is the measure of∠UYZ? A) 37 ∘ B) 37.5 ∘ C) 47.5 ∘ D) 47 ∘ Ans: B