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INTRODUCTION TO EUCLID’S GEOMETRY
1. Euclid stated that all right angles are equal to each other in the form of:
a. Definition b. Proof c.Postulate d.Axiom
2. ‘Lines are parallel if they do not intersect’ is stated in the form of
a. Definition b. Proof c.Postulate d.Axiom
3. Thales belongs to which country?
a. Babylonia b. Rome c. Greece d. Egypt
4. In Indus Valley Civilization (about 300BC) the bricks used for construction work were
having dimension in the ratio:
a. 1:3:4 b. 4:4:1 c. 4:2:1 d. 4:3:2
5. The number of dimensions of a solid are
a. 1 b. 2 c. 3 d. 4
6. The number of dimensions of a surface are
a. 1 b. 2 c. 3 d. 4
7. The number of dimensions of a point are
a. 1 b. 2 c. 3 d. 4
8. Which of the following statements are true?
a. Only one line can pass through a single point
b. There is an infinite number of lines that pass through two distinct points
c. A terminated line can be produced indefinitely on both sides
d. If two circles are equal, then their radii are unequal.
9. Two circle are congruent if
a. They have same radii
b. They have same diameter
c. Both (a) and (b)
d. None if the above
10. Which of the following is an axiom?
a. Theorems b. Definitions c. The universal truth in all branches of
Mathematics d. Universal truth specific to geometry
11. The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is :
a. 7 b. 8 c. 9 d. 11
12. In Indus valley civilization (about 3000 B.C.). The brick used for construction work were
having dimensions in the ratio :-
a. 1:3:4 b. 4:2:1 c. 4:4:1 d. 4:3:2
13. The edges of the surface are :
a. Points b. Curves c. Lines d. None of the above
14. If AB = x+3, BC = 2x and AC = 4x-5, then for what value of x, B lies on AC?
a. 2 b. 3 c. 5 d. 8
15. If a point Z lies between two points X and Y such that XZ = YZ, then prove that 2XZ =
XY. Explain by drawing the figure.
16. If AC = BD then prove that AB = CD
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17. If a point C lies between two points A and B such that AC = BC, then prove that AC =
1
2
AB. Explain by drawing the figure.
18. Write 3 Postulates of Euclid’s geometry.
19. If a point C lies between two points A and B such that AC = AB, then prove that AC = ½
AB.
20. Solve the equation x-5=15 and state the Euclid’s axiom that you use here.
21. Write 5 postulates of Euclid’s geometry and explain it with figures.
22. In the given figure, C is the mid point of AB and D is the mid point of AC. Prove that AD
= AB.
1
4
23. If a point C lies between two points A and B such that AC = BC, then prove that AC =
1
2
AB.
