Page 2 - Worksheet-Euclid's Geometry Ch-5 (Introduction to Euclid's Geometry)
P. 2
(a) Theorems (b) Axiom (c) Definition (d) Postulate
11. 2
In the adjoining figure, if AB = BC and BX = BY, then show that AX = CY.
12. In the adjoining figure, we have ∠1 = ∠2 and ∠2= ∠3. Show that ∠1 = ∠3. 2
13. Read the following two statements which are taken as axioms: 2
(i) If two lines intersect each other, then the vertically opposite angles are not
equal.
(ii) If a ray stands on a line, then the sum of two adjacent angles, so formed is
equal to 180°.
Is this system of axioms consistent ? Justify your answer.
14. In the adjoining figure, we have ∠ABC = ∠ACB and ∠3 = ∠4. Show that BD = 3
DC.
2
