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Euclid's Postulates. 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line.3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.4.All right angles are congruent. 5.uclid's Postulates. 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line.
We have learned that triangles are congruent if their corresponding sides and angles are congruent. However, there are excessive requirements that need to be met in order for this claim to hold. In this section, we will learn two postulates that prove triangles congruent with less information required. These postulates are useful because they only require three corresponding parts of triangles to be congruent (rather than six corresponding parts like with CPCTC). Let's take a look at the first postulate.