Use the diagram to answer the question which of the following are opposite rays
A TV and TS
B TX and TL
C TS and TX
D TL and TV
Opposite rays are two rays that have the same endpoint and extend in opposite directions.
Looking at the diagram, we can see that TL and TV are opposite rays because they have the same endpoint at T and extend in opposite directions.
So, the correct answer is D) TL and TV.
To determine which of the following are opposite rays, let's refer to the given diagram.
```
T
/|\
/ | \
/ | \
/ | \
V----|---X
L
```
From the diagram, we can see that Opposite Rays are the ones that share a common vertex and form a straight line.
Let's evaluate each given option:
A) TV and TS: These rays share a common vertex (T), but they do not form a straight line and are not on the same side of the common vertex.
Therefore, TV and TS are not opposite rays.
B) TX and TL: These rays share a common vertex (T) and form a straight line. They are on the same side of the common vertex (T).
Therefore, TX and TL are not opposite rays.
C) TS and TX: These rays share a common vertex (T) and form a straight line. They are on the same side of the common vertex (T).
Therefore, TS and TX are not opposite rays.
D) TL and TV: These rays share a common vertex (T) and form a straight line. They are on opposite sides of the common vertex (T).
Therefore, TL and TV are opposite rays.
Hence, the correct answer is option D) TL and TV are opposite rays.