Euclid Geometry Model Paper Of CBSE NCERT Class IXth

M.M: 38 marks                                                                         Dated: 01/07/2011

Time: 1 hour

Q 1: Fill in the blanks (1 mark per question x 15 = 15 marks)

1. Two distinct ______________ lines cannot be parallel to the same line.
2. According to Euclid’s fourth postulate, all _____________ angles are equal to one another.
3. A terminated _____________ can be produced indefinitely.
4. According to Euclid’s seventh axiom, things which are ____________ of the same things are equal to one another.
5. According to Euclid’s fourth axiom, things which ______________ with one another are ___________ to one another.
6. According to Euclid’s third axiom, if equals are ______________ from equals, the _______________ are equal.
7. ______________ are statements which are proved using definitions, axioms, previously proved statements and deductive reasoning.
8. ______________ or ____________ are the assumptions which are obvious universal truths and hence are not proved.
9. The terms which are taken as undefined by mathematicians are __________, __________ and ____________.
10. Two distinct points in a plane determine a ______________ line.
11. Two distinct ______________ in a plane cannot have more than one point in common.
12. In _____________ geometry, lines are not straight.
13. Euclidean Geometry fails on the _____________ surfaces.
14. Euclid used the term _____________ for the assumptions that were specific to geometry.
15. _______________ means measuring Earth.

Q 2:  Write True or False for the following statements. Also write the correct statements for the false statements.                                                    (1 mark per question x 6 = 6 marks)

1. Two distinct points always determine a line –
2. Every ray has a finite length –
3. A segment has one end-point only –
4. The ray BC is same as ray CB –
5. Only a single line can pass through a given point –
6. Two lines are coincident if they have only one point in common –

Q 3: What is Playfair’s axiom? How can it be stated in other form? Make a diagram to explain it.                                                                                                         (2 marks)

Q 4: If A, B and C are three points on a line and B lies in between A and C, then prove that AB + BC = AC.                                                                                                (2 marks)

Q 5: Give a definition for each of the following terms.               (1 mark each x 6 = 6 marks)

1. Parallel lines
2. Line segment
3. Radius
4. Straight line
5. Plane surface
6. Square

Q 6: In the following figure, if PR= QS, then prove that PQ = RS.                       (2 marks)

Q 7: Write Euclid fifth postulate and explain it with the help of a diagram.             (3 marks)

Q 8: What is Euclid’s fifth axiom? Explain it.                                                       (2 marks)