When discuss the congruence relation of triangles, we do not want to discuss the +- of an angle in many occasion. SAS AAS ASA implies congruence when A is only equality of abs of angle value.
As a solution, we can do:
congruence : \cong = \cong\+ \or \cong\-
orientation-preserving congruence: \cong\+
orientation-reversing congruence: \cong\-
AbsValue of an angle (which is abs of .value.toReal), ang\1.AbsValue = ang\1'.AbsValue if and only if, their value are equal or adds to zero.
With the A in their SAS criterion being
congruence : ang\1.AbsValue = ang\1'.AbsValue (which is abs of .value.toReal)
orientation-preserving congruence: ang\1.value = ang\1'.value
orientation-reversing congruence: ang\1.value = -ang\1.value
When discuss the congruence relation of triangles, we do not want to discuss the +- of an angle in many occasion. SAS AAS ASA implies congruence when A is only equality of abs of angle value.
As a solution, we can do:
congruence :
\cong=\cong\+ \or \cong\-orientation-preserving congruence:
\cong\+orientation-reversing congruence:
\cong\-AbsValue of an angle (which is abs of .value.toReal),
ang\1.AbsValue = ang\1'.AbsValueif and only if, their value are equal or adds to zero.With the A in their SAS criterion being
congruence :
ang\1.AbsValue = ang\1'.AbsValue(which is abs of .value.toReal)orientation-preserving congruence:
ang\1.value = ang\1'.valueorientation-reversing congruence:
ang\1.value = -ang\1.value