They must be the same length.
The triangles must be congruent.
yes
True
yes it is ture
True.
True
If two line segments are congruent, it must be true that they have the same length. This means that if you measure both segments, they will be equal in distance from one endpoint to the other. Additionally, congruent segments can be superimposed on each other, matching perfectly in length and endpoints.
They are congruent.
true
True
If two line segments are congruent, it means they have the same length. This implies that both segments can be measured and found to be equal in distance from one endpoint to the other. Therefore, congruence in line segments indicates that they are identical in size, even if their positions or orientations differ in space.
If by "equal" you mean "equal in length", yes, that is the same as "congruent".
The triangles must be congruent.
If triangles ABC and DEF are congruent (ABC ≅ DEF), then corresponding parts of the triangles are congruent by the principle of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). This means that segments AB ≅ DE, BC ≅ EF, and AC ≅ DF, as well as angles ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F. All these congruences must be true if the triangles are indeed congruent.
It Separates BC (Line on top) into two congruent line segments.
False. They must be congruent.
If two line segments have the same length, they are considered congruent. This means that they can be positioned in such a way that they overlap perfectly, matching in size and shape. However, congruence does not imply that the segments are in the same location or orientation; they can exist in different positions or orientations in a plane.