Question

name the figure below in two different ways.
symbol:
and

Explanation:

Step1: Identify the figure type

The figure is a ray, which starts at a point and extends infinitely in one direction. The starting point here can be considered, and also we can name it using the points on it.

Step2: Name using starting point and another point

A ray can be named by its starting point and another point on it, with the starting point first. So one way is $\overrightarrow{QB}$ (starting at Q, going through B infinitely). Another way is to use the starting point and a point in between, like $\overrightarrow{QE}$ (but wait, actually, since the ray goes through E and B, the correct naming should be with the starting point and a point along the direction. Wait, the ray starts at Q? Wait, no, looking at the arrow, the arrow is at B, so the ray starts at Q and goes through E to B and beyond? Wait, no, the arrow is pointing down at B, so the ray is from Q through E to B, and extending infinitely beyond B? Wait, no, the notation for a ray is with the starting point first, then another point on the ray. So if the ray starts at Q and passes through E and B, then one name is $\overrightarrow{QB}$ (starting at Q, direction towards B, infinite beyond B). Another way: sometimes rays can be named by the starting point and a point in the middle, but actually, the standard is starting point and any point on the ray. Also, wait, maybe the ray is from Q, through E, to B, so the two names can be $\overrightarrow{QB}$ (using the starting point Q and the point B on the ray) and $\overrightarrow{QE}$? No, wait, no, because E is between Q and B. Wait, no, the ray's direction is from Q towards B (since the arrow is at B, meaning it's going past B). So the ray starts at Q, goes through E, then B, and beyond. So the two ways to name it are: 1. Using the starting point Q and the point B: $\overrightarrow{QB}$. 2. Using the starting point Q and the point E: $\overrightarrow{QE}$? Wait, no, that's not correct. Wait, actually, a ray is defined by its initial point and a direction. So if the ray has initial point Q and passes through E and B, then the ray can be named as $\overrightarrow{QB}$ (since B is on the ray, in the direction from Q) and also, since E is on the ray, can we name it $\overrightarrow{QE}$? Wait, but $\overrightarrow{QE}$ would be a ray starting at Q, going through E, but in the figure, the arrow is at B, so the ray is going beyond B, so $\overrightarrow{QE}$ is part of $\overrightarrow{QB}$. Wait, maybe the correct two names are: 1. Ray QB (written as $\overrightarrow{QB}$) and 2. Ray QE (written as $\overrightarrow{QE}$)? No, that doesn't seem right. Wait, maybe the ray is from Q, so the initial point is Q, and the other points are E and B. So the two ways to name the ray are $\overrightarrow{QB}$ (using the initial point Q and the point B on the ray) and $\overrightarrow{QE}$ (using the initial point Q and the point E on the ray). But actually, the standard is that a ray is named by its endpoint (starting point) and any other point on the ray, so both $\overrightarrow{QB}$ and $\overrightarrow{QE}$ are correct, but also, wait, maybe the ray is considered as starting at Q and going through B, so another way: sometimes rays are named with the endpoint first, then a point in the direction. So the two names are $\overrightarrow{QB}$ and $\overrightarrow{QE}$? Wait, no, let's recall: a ray has a fixed starting point and extends infinitely in one direction. So if the starting point is Q, and the ray passes through E and B (with the arrow at B, indicating the direction is towards B and beyond), then the ray can be named as $\overrightarrow{QB}$ (starting at Q, going through B, infinite beyond B) and also, since E is on the ray, $\overrightarrow{QE}$ (starting at Q, going through E, infinite beyond E, which is the same as $\overrightarrow{QB}$ because E is between Q and B). But maybe the problem expects using the endpoint and another point, so the two names are $\overrightarrow{QB}$ and $\overrightarrow{QE}$? Wait, no, maybe the ray is from Q, so the endpoint is Q, and the other points are E and B. So the two ways to name the ray are: 1. Ray QB (symbol: $\overrightarrow{QB}$) and 2. Ray QE (symbol: $\overrightarrow{QE}$). But actually, the correct notation is that the ray is named by its initial point (Q) and a point on the ray (either E or B), so the two names are $\overrightarrow{QB}$ and $\overrightarrow{QE}$. Wait, but let's check the figure again. The figure has points Q (top), E (middle), B (bottom with arrow). So the ray starts at Q, goes through E, then B, and beyond B (since the arrow is at B, pointing down). So the ray is $\overrightarrow{QB}$ (starting at Q, direction towards B, infinite beyond B) and also, since E is on the ray, $\overrightarrow{QE}$ (starting at Q, direction towards E, but since E is between Q and B, $\overrightarrow{QE}$ is the same ray as $\overrightarrow{QB}$, just named with a different point on it). So the two names are $\overrightarrow{QB}$ and $\overrightarrow{QE}$. Wait, but maybe the problem considers that the ray is from Q, so the two names are Ray QB and Ray QE, or using the endpoint and the direction. Alternatively, maybe the ray is named as $\overrightarrow{QB}$ and $\overrightarrow{BQ}$? No, $\overrightarrow{BQ}$ would be a ray starting at B, going through E to Q, which is the opposite direction. So that's not correct. So the correct two names are $\overrightarrow{QB}$ (starting at Q, going through B) and $\overrightarrow{QE}$ (starting at Q, going through E). But actually, the standard is that a ray is named by its initial point and a point in the direction of the ray. So since the ray starts at Q and goes through E and B (with the arrow at B, indicating the direction is past B), the two names are $\overrightarrow{QB}$ (using Q and B) and $\overrightarrow{QE}$ (using Q and E).

Answer:

$\overrightarrow{QB}$ and $\overrightarrow{QE}$ (or alternatively, if the ray is considered to start at Q and the direction is towards B, another way could be named as Ray QB and Ray QE, but in symbol form, $\overrightarrow{QB}$ and $\overrightarrow{QE}$)