# Recommended for; Pakistan Customs(Constable, ASI, SI, Assistant, DEO,)

1. Fundamental agreements which are related to geometrical figures.
1. Axioms
2. Postulates
3. both of these
4. None of these
2. Identify the property of equation:    x = x, ∀ x ∈ R
1. Transitive
2. Reflexive
3. Symmetric
3. Identify the property of equation:   x = y, ⇔ y = x, ∀ x, y ∈ R
1. Transitive
2. Reflexive
3. Symmetric
4. Identify the property of equation:   x = y and y = z ⇒ x = z, ∀ x, y, z ∈ R
1. Transitive
2. Reflexive
3. Symmetric
5. Identify the property of equation:  x = y ⇒ x + z = y + z, ∀ x, y, z ∈ R
1. Transitive
3. Subtraction
4. Multiplication
6. Identify the property of equation:  x = y ⇒ x – z = y – z, ∀ x, y, z ∈ R
1. Transitive
3. Subtraction
4. Multiplication
7. Identify the property of equation:  x = y ⇒ xz = yz, ∀ x, y, z ∈ R
1. Transitive
3. Subtraction
4. Multiplication
8. It is a proposition in which some geometrical tact is stated.
1. Corollary
2. Theorem
3. Hypothesis
4. All of these
9. It is a fact which readily follows from a proved theorem.
1. Corollary
2. Theorem
3. Hypothesis
4. Conclusion
10. Three non-collinear points determine a __________________.
1. linear
2. plane
3. slope
4. line
11. Two distinct points determines a __________-.
1. Linea
2. Plane
3. slope
4. line
12. One & only one____________ can be drawn from a point not on the line.
1. point
2. Parallel
3. perpendicular
4. slope
13. If a line cuts two parallel lines, then each pair of_________________ angles and each pair of______________ angles are congruent.
1. alternate, corresponding
2. alternate, supplementary
3. corresponding, complementary
4. supplementary, complementary
14. Measure of an exterior angle of the triangle is equal to___________ of the measure of the non-adjacent interior angles of the triangle.
1. Product
2. difference
3. sum
4. none of these
15. In a plane, if a line is perpendicular to each of the two lines, then two lines are________________
1. distinct
2. parallel
3. perpendicular
4. None of these
16. If a transversal intersect two_______________ lines, the alternate angles so formed are congruent.
1.  parallel
2. distinct
3. perpendicular
4. None of these
17. In_______________ triangle, the bisector of the angle at the vertex is the right bisector of the base.
1.  equilateral
2. Isosceles
3. scalene
4. right angled
18. If a straight line stands on another straight line, the sum of the measure of the two angles so formed is equal to two________________ angles.
1. acute
2. obtuse
3. right
4. equal
19. If the sum of measure of two adjacent angles is equal to two right angles, the external arms of the angles are in_____________ line.
1. intersect
2. parallel
3. perpendicular
4. straight
20. If two line intersect each other, then the opposite vertical angles are ________________.
1. congruent
2. different
3. right angles
4. straight
21. If two sides of a triangle are concurrent, then the angles opposite to these sides are:
1. congruent
2. different
3. right angles
4. straight
22. An exterior angle of a triangle is___________________ in measure than either of its opposite interior angles.
1. equal
2. less
3. greater
4. none of these
23. If a transversal intersects two coplanar Ines such that the pair of alternate angles are congruent, then the lines are ________________.
1. equal
2. parallel
3. perpendicular
4. straight
24. If a transversal intersect two parallel lines, the alternate angles so formed are________________
1. different
2.  straight
3. congruent
4. right angles
25. The sum of the measure of the three angles of a triangle is ___________________.
1. 180°
2. 100°
3. 90°
4. 360°
26. In_____________ reasoning we deduce particular results from general results
1. inductive
2. deductive
3. demonstrative
4. subjective
27. The whole framework of deductive reasoning is based on the__________________ elements known as Basics of Reasoning.
1. 6
2. 5
3. 4
4. 3
28. Fundamental Agreements or Assumptions are of______________ kinds.
1. 5
2. 4
3. 3
4. 2
29. A proposition (Theorem or Rider) consists of_______________ parts.
1. 5
2. 4
3. 3
4. 2
30. One theorem Is said to be the converse of another theorem when the_________ is the conclusion of the other.
1. Corollary
2. Theorem
3. Hypothesis
4. All of these
31. _________________ is the general statement of a geometrical truth which we are going to prove.
1. Enunciation
2. construction
3. Proof
4. Given or Data
32. Particular statement of the hypothesis according to the figure which we have drawn.
1. Enunciation
2. construction
3. Proof
4. Given or Data
33. Which statement is true?
1. If two lines intersect, then vertical adjacent angles are congruent
2. Through a point not on a line, one & only one line can be drawn parallel to the line.
3. Sum of the measures of three angles of a triangles may be equal to 180
4. In a right angled triangle the acute angles are supplementary,
34. In a right angled triangle the acute angles are____________ .
1. supplementary
2. complementary
3. obtuse
4. straight
35. If two lines intersect, the sum of the measures of the four angles is equal to____________ right angle / angles.
1. one
2. two
3. three
4. four
36. If a number of straight lines meet at a point, the sum of the measures of the all the angles between successive lines is equal to____________ right angle / angles.
1. one
2. two
3. three
4. four
37. Bisectors of the two adjacent supplementary angles are__________________- to each other.
1. parallel
2. perpendicular
3. straight
4. equal
38. The symbol__________ is used for one-one correspondence.
1. =
39. _______________ triangle is also equiangular.
1. Equilateral
2. Isosceles
3. Scalene
4. right angled
40. In a triangle, If one angle is right angle, then other angles are_________ angles.
1. acute
2. obtuse
3. right
4. equal
41. From a point not on the line,____________ perpendicular/s can be drawn to the line.
1. finite
2. four
3. two
4. one & only one
42. In a plane, if a line is perpendicular to each of two lines, then the two lines are______________ .
1. equal
2. parallel
3. perpendicular
4. none of these
43. Every triangle has at least__________ acute angles.
1. infinite
2. 3
3. 2
4. 1