41. Which THREE of the following are rays shown in the figure?
Answer: A,C,E
vec AC, vec AD, and vec BC are the rays shown in the figure.
Rays are defined as having a starting point and extending infinitely in one direction. In this context, vec AC, vec AD, and vec BC meet the criteria for rays.
A) vec AC
vec AC is a ray that starts at point A and extends infinitely in the direction of point C. This aligns with the definition of a ray since it has a defined starting point and continues indefinitely.
B) vec CA
vec CA is not a ray in the context given because it starts at point C and extends towards point A, which is the opposite direction. Rays must extend forward from their starting point, making this option incorrect.
C) vec AD
vec AD is a ray that begins at point A and extends indefinitely towards point D. This fulfills the definition of a ray, confirming its status as one of the correct options.
D) vec DA
vec DA is not considered a ray since it starts at point D and extends back towards point A. As rays must proceed from their starting point in one direction, this option does not qualify.
E) vec BC
vec BC is a ray that starts at point B and extends infinitely towards point C. This fits the criteria for a ray, making it one of the correct choices.
Conclusion
The rays identified as vec AC, vec AD, and vec BC correctly adhere to the definition of rays by having a specific starting point and extending infinitely in one direction. Options B and D do not qualify as rays because they do not extend from their respective starting points in the required manner, thereby confirming the accuracy of the chosen correct answers.