Question

use the picture to name four rays. incorrect 2 tries left. please try again. options: a) $overrightarrow{st}$, $overrightarrow{sw}$, $overrightarrow{su}$, $overrightarrow{uv}$; b) $overrightarrow{vt}$, $overrightarrow{vw}$, $overrightarrow{wu}$, $overrightarrow{vs}$; c) $overrightarrow{st}$, $overrightarrow{tu}$, $overrightarrow{tv}$, $overrightarrow{tw}$; d) $overrightarrow{ws}$, $overrightarrow{wt}$, $overrightarrow{wu}$, $overrightarrow{vw}$

Explanation:

To identify rays, a ray has a starting point and extends infinitely in one direction (indicated by the arrow). Let's analyze each option:

• Option A: $\overrightarrow{ST}$ (starts at S, goes to T and beyond? Wait, no, the arrow direction matters. Wait, looking at the diagram (from the image, the points are S, V, T, W, U on a line? Wait, the diagram has arrows. Let's re - examine the options. A ray is named with the starting point first, then another point in the direction of the ray.
• Option C: $\overrightarrow{ST}$ (starts at S, direction? Wait, $\overrightarrow{TU}$: starts at T, goes to U. $\overrightarrow{TV}$: starts at T, goes to V? No, direction. Wait, let's check the correct ray naming. A ray has an endpoint (the first letter) and then a point along the ray's direction.

Looking at the diagram (the bridge with points S, V, T, W, U and arrows), let's consider the rays:
For option C: $\overrightarrow{ST}$ (starts at S, goes towards T? Wait, no, maybe the arrows. Wait, the correct rays should have the starting point and then a point in the direction of the arrow. Let's check each option's rays:

• Option A: $\overrightarrow{ST}$ (if arrow is from S to T), $\overrightarrow{SW}$ (S to W? But W is not on that line? Wait, maybe the diagram has two sets of rays. Wait, the correct option should have four rays where each ray has a starting point and extends in the direction of the arrow.

Option C: $\overrightarrow{ST}$ (starts at S, direction T), $\overrightarrow{TU}$ (starts at T, direction U), $\overrightarrow{TV}$ (starts at T, direction V), $\overrightarrow{TW}$ (starts at T, direction W)? Wait, no, maybe the diagram's arrows. Wait, the key is that a ray is named by its endpoint (first letter) and a point on the ray (second letter), with the arrow indicating direction.
After analyzing, option C has rays that are correctly named as per the ray definition (each has a starting point and a point in the direction of the ray).

Answer:

C. $\overrightarrow{ST}$, $\overrightarrow{TU}$, $\overrightarrow{TV}$, $\overrightarrow{TW}$