The Closure Property of Positive Real Numbers Under Addition

The closure property under a certain operation tells us that if we the operations between the two members of the set, the result is still a member of that set. In this post, we show that the set of positive real numbers is closed under addition. That is, if we add two real numbers and […]
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Proving the Perpendicular Bisector Theorem Using SAS Congruence

In the previous post, we have proved the Perpendicular Bisector Theorem using reflection. In this post, we prove the same theorem using SAS Congruence. Theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
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