1. Which of the following statements are true and which are false? Give reasons for your answers. | |

2. Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them? | |

3. Consider two ‘postulates’ given below: | |

4. If a point C lies between two points A and B such that AC = BC, then prove that AC =1/2AB. Explain by drawing the figure. | |

5. In Question 4, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point. | |

6. In Fig. 5.10, if AC = BD, then prove that AB = CD. | |

7. Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.) | |