Final answer:
The incorrect congruence statement is d. Segment AC ≅ Segment EG, because according to the correspondence between triangle ABC and triangle EFG, Segment AC should correspond to Segment FG, not EG.
Step-by-step explanation:
The question is asking which congruence statement is not true if it is given that triangle ABC is congruent to triangle EFG in corresponding order. This implies that each part of triangle ABC matches with a corresponding part of triangle EFG.
To determine if the statements are true, we can use the fact that the vertices of the triangles are listed in corresponding order. Therefore:
Vertex A corresponds to vertex E.
Vertex B corresponds to vertex F.
Vertex C corresponds to vertex G.
Now we can evaluate the four congruence statements:
a. Angle BAC ≅ Angle FEG: This statement is true because Angle BAC corresponds to Angle FEG.
b. Segment AB ≅ Segment EF: This statement is true because Segment AB corresponds to Segment EF.
c. Angle CBA ≅ Angle GEF: This statement is true because Angle CBA corresponds to Angle GEF.
d. Segment AC ≅ Segment EG: This statement is not true because Segment AC actually corresponds to Segment FG, not EG, according to the order given in triangleEFG.
The correct answer to which congruence statement is not true is d. Segment AC ≅ Segment EG.