Demonstrative Geometry


Math Class 9
1. The word "Geometry" has been devived from two Greek words "Geo" & (____________).




Math Class 9
2. The word Geometry means the measurement of _________________.




Math Class 9
3. ___________ were the pioneers of Geometry.




Math Class 9
4. The Greeks constructed the knowledge of Geometry on the basis of ______________.




Math Class 9
5. The most important work in Geometry was done by ______________.




6. In _______________ the proof of the theorems are based on logic.




Math Class 9
7. The diameter of a circle is such a diagonal which passes through the ______________.




Math Class 9
8. ______________ is a quadrilateral; that all of its four sides are congruent.




Math Class 9
9. ______________ is a quadrilateral, that all of its four sides are congruent but not all angles are congruent.




Math Class 9
10. Parallelogram is such a quadrilateral that its opposite sides are ______________ and congruent.




Math Class 9
11. The two rays with a common end point is called_______________.




Math Class 9
12. If two angles at a point have their middle arm common are called _________ angles.




Math Class 9
13. In demonstrative geometry statements are accepted true without reasons. These are called______________.




Math Class 9
14. The assumptions are of ___________ types.




Math Class 9
15. There is one and only one line that can pass through __________ points.




Math Class 9
16. ____________ numbers of lines can be drawn through one point.




Math Class 9
17. Two lines can __________ each others at one point only.




Math Class 9
18. A ____________ can be extended on both sides to a desired limit.




Math Class 9
19. A line segment can be __________ at one and only one point.




Math Class 9
20. an angle can be bisected by one & only one ______________.




Math Class 9
21. From a point, one & only one __________ can be drawn upon a line segment.




Math Class 9
22. If two adjacent angles are supplementary, then the uncommon arms are _________.




Math Class 9
23. If the uncommon arms of two adjacent angles are collinear, then these angles are called ____________ angles.




Math Class 9
24. Two intersecting lines are not parallel to a______________.



25. The sum of the measure of three angles of a triangle is _____________.




Math Class 9
26. Greeks were the pioneers of Geometry.


27. In demonstrative Geometry the proofs of the theorem are based on logic.


28. Greeks done the most important work in the field of Geometry.


29. The line passes through the centre of the circle is called radius.


30. Trapeziums a quadrilateral that all of it sides are parallel to each other.


31. Finite number of lines can be drawn through one point.


32. Two lines can intersect each other at two points.


33. A line segment has two end points.


34. If two adjacent angles are supplementary, then their uncommon arms are collinear.


35. Two intersecting lines are not parallel to a single line.


36. In deductive method, we reach the conclusion from general to a particular principal.


37. The condition to prove a theorem is called sound reasons.


38. The passage of describing geometrical theorem in words is called its statement.


39. The sum of the angles of quadrilateral is 360o .


40. If the two sides in a triangle are congruent, then , their opposite angles are not congruent.


41. Every theorem have its converse.


42. If two lines intersect each other, then the vertical angles are congruent.


43. To separate the elements of some thing is called analysis.


44. The use of the methods analytic and synthesis is called the Analysis - Synthesis method.


45. The side opposite to right angle is called perpendicular.


46. To prove the realities logically, we learn ________ methods of logical reasoning.




Math Class 9
47. In deductive reasons some realities are accepted without any ____________.




Math Class 9
48. The conditions to prove a theorem are called _______________ reasons.




Math Class 9
49. The theorems of geometry which are proved with the help of logical reasons are called ________ theorems.




Math Class 9
50. The results deducted directly from the theorems are called _____________.




Math Class 9
51. The passage of describing geometrical theorems in words is called its _____________.




Math Class 9
52. In the light of statement, the complete drawing of all geometrical concepts is called _________.




Math Class 9
53. Every theorem do not have its __________.




Math Class 9
54. If the two sides in a triangle are congruent, then there ______________ are also congruent.




Math Class 9
55. If the two angles in a triangle are congruent, then there ____________ are also congruent.




Math Class 9
56. The most important thing in demonstrative theorem is ______________.




Math Class 9
57. To separate the elements of some thing is called its ______________.




Math Class 9
58. Line-segment has ___________ end points.




Math Class 9
59. If the sum of two angles is 90o, they are called ___________ angles.




Math Class 9
60. In a right-angles triangle side opposite to a right angle is called _____________.




Math Class 9
61. Any triangle has _____________ elements.




Math Class 9
62. In theorems addition in figure is called _____________.




Math Class 9
63. Points which are not lie on a same line are called ______________.




Math Class 9
64. In an isosceles triangle _________ sides are congruent.




Math Class 9
65. Basic assumptions for numbers which are used in all the branches of mathematics are called _______________.







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