# Class 9 – Introduction To Euclid’s Geometry – Important Questions

Important Questions**Introduction To Euclid’s Geometry – Important Questions**

**The number of dimension that a point has is**:**0****1****2****3**

**What are the five postulates of Euclid’s Geometry?****Consider two ‘postulates’ given below:****Given any two distinct points A and B, there exists a third point C which is in between A and B.****There exist at least three points that are not on the same line.****(i) Do these postulates contain any undefined terms? Are these postulates consistent?****(ii) Do they follow from Euclid’s postulates? Explain.**

**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.****Why is axiom 5, in the list of Euclid’s axioms, considered as a ‘universal truth’ ?(Note that****the question is not about the fifth postulate.)****What is a minimum number of lines required to make a closed figure?****It is known that x + y = 10 and that x = z. Show that z + y = 10?****Consider the following statement : There exists a pair of straight lines that are everywhere equidistant from one another. Is this statement a direct consequence of Euclid’s fifth postulate? Explain.****‘Lines are parallel if they do not intersect’ is stated in the form of:****an axiom****a definition****a postulate****a proof**

**How many dimension does a solid has?****What do you call a figure formed by three line segments?****Line PQ is such that it acts as a transversal for two non-parallel lines AB and CD such that****∠**APQ +**∠**PQC<180°. So, lines AB and CD, if produced will intersect on the left of PQ. This is an example of which postulate of Euclid?

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