Final answer:
The question pertains to the congruence of triangles ABC and DEF in geometry, where congruent triangles have equal corresponding angles and sides. To identify a false statement, it is necessary to compare these elements, as an untrue statement would contradict the fact that congruent triangles have identically matched parts.
Step-by-step explanation:
The question concerns the subject of congruent triangles in geometry, a topic typically covered in high school mathematics. The notation 'ABC ~= DEF' suggests that triangle ABC is congruent to triangle DEF, which means that the two triangles are identical in shape and size, though they may be mirrored or rotated. This implies that they have three pairs of equal angles and three pairs of equal sides.
Based on the congruence of triangles ABC and DEF, several statements can be considered about their angles and sides. For example, if one statement says that angle A is equal to angle D, then this statement is true. However, if a statement suggests that side AB is longer than side DE, this would be false as congruent triangles have sides of equal length corresponding to each other.
To determine which statement about the congruent triangles ABC and DEF is not true, one should compare corresponding angles and sides. For instance, if a statement claims that the perimeter of triangle ABC is greater than the perimeter of triangle DEF, this would be incorrect as congruent triangles have equal perimeters.