Demonstrative Geometry

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




2. The word Geometry means the measurement of _________________.




3. ___________ were the pioneers of Geometry.




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




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




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




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




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




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




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




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




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




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




14. The assumptions are of ___________ types.




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




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




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




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




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




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




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




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




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




24. Two intersecting lines are not parallel to a______________.



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




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.




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




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




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




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




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




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




53. Every theorem do not have its __________.




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




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




56. The most important thing in demonstrative theorem is ______________.




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




58. Line-segment has ___________ end points.




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




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




61. Any triangle has _____________ elements.




62. In theorems addition in figure is called _____________.




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




64. In an isosceles triangle _________ sides are congruent.




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




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