![]() $(h',k')$ and to the angle $(h'',k'')$, then the angle We expressĮvery angle is congruent to itself that is,į the angle $(h,k)$ is congruent to the angle $(h',k')$ lie upon the given side of $a'$. $(h,k)$, or $(k,h)$, is congruent to the angle $(h',k')$Īnd at the same time all interior points of the angle Is one and only one half-ray $k'$ such that the angle Half-ray of the straight line $a'$ emanating from a Suppose also that, in the plane $\alpha$, a definite side $\alpha$ and let a straight line $a'$ be given in a plane $\alpha'$. Let an angle $(h,k)$ be given in the plane Then, if $AB \equiv A'B'$ and $BC \equiv B'C'$, Line $a'$ having, likewise, no point other than $B'$ inĬommon. The point $B$, and, furthermore, let $A'B'$ and $B'C'$īe two segments of the same or of another straight Line $a$ which have no points in common aside from Let $AB$ and $BC$ be two segments of a straight Is, if $AB \equiv A'B$ and $AB \equiv A''B''$, then $A'B'$ is congruent to the segment $A''B''$ that $A'B'$ and also to the segment $A''B''$, then the segment If a segment $AB$ is congruent to the segment This relation by writing $AB\equiv A'B'$. Only one point $B'$ so that the segment $AB$ (or $BA$) The straight line $a'$, we can always find one and Straight line $a'$, then, upon a given side of $A'$ on If $A$, $B$ are two points on a straight line $a$,Īnd if $A'$ is a point upon the same or another Which is described by the word congruent. Segments stand in a certain relation to one another The axioms of this group define the idea of congruence This straight line is called the parallel to Only one straight line which does not intersect the Point $A$, lying outside of a straight line $a$, one and ![]()
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