The statement that when constructing a congruent line segment to cd the ray needed for the construction must be shorter than cd is false
How to determine the truth value of the statement?
The statement implies that:
- A congruent line is to be constructed
- A ray is needed for the construction
Congruent lines have equal lengths
This means that the ray needed for the construction must have the same length as the line segment cd
Hence, the statement that when constructing a congruent line segment to cd the ray needed for the construction must be shorter than cd is false
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