1. When constructing a congruent line segment to cd , the ray needed for the construction must be shorter than CD.
A) True
B) False
Is the answer false?
correct
No, the answer is not false. The correct answer is A) True.
When constructing a congruent line segment to CD, we need to use a ray that is longer than the length of CD, not shorter. This is because a ray is a half-line that starts at a point (in this case, C) and extends infinitely in one direction. To construct a congruent line segment, we need to extend the ray beyond the endpoint of CD and mark a point on it (let's say point E) that is at the same distance from C as point D is. Then, we can use line segment CE as the congruent line segment to CD.