Question

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

Explanation:

Step1: Identify the figure type

The figure is a ray, which has a starting point and extends infinitely in one direction. The starting point here can be considered as R, and it passes through F and T, with the arrow at T indicating the direction of extension.

Step2: Name the ray using different points

One way to name a ray is by using its starting point and another point on the ray. So, we can name it as $\overrightarrow{RT}$ (starting at R, going through T) and also, since F is on the ray between R and T, we can also name it as $\overrightarrow{RF}$ (starting at R, going through F) or $\overrightarrow{RT}$ and $\overrightarrow{RF}$? Wait, no, actually, the ray starts at R and goes through F and T, so the two ways should be using the starting point (R) and different points on the ray. So first, using R and T: $\overrightarrow{RT}$, and using R and F: $\overrightarrow{RF}$? Wait, but the arrow is at T, so the ray is from R through F to T (extending beyond T). So the two names can be $\overrightarrow{RT}$ (using the starting point R and the point T in the direction) and $\overrightarrow{RF}$ (using starting point R and point F in the direction). But actually, the standard way is to use the initial point and any other point on the ray. So the ray has initial point R, and passes through F and T, so two names are $\overrightarrow{RT}$ and $\overrightarrow{RF}$? Wait, no, maybe the first box has "I" which is maybe a typo, but looking at the figure, the ray starts at R, goes through F, then T, with the arrow at T. So the ray can be named as $\overrightarrow{RT}$ (starting at R, direction towards T) and also, since F is on the ray, $\overrightarrow{RF}$ (starting at R, direction towards F, but since it's a ray, it extends beyond F to T and further). Wait, but actually, the correct way is that a ray is named by its endpoint (initial point) and any other point on the ray, in the order of endpoint first, then the other point. So the endpoint here is R, and the other points are F and T. So two names are $\overrightarrow{RT}$ (endpoint R, point T) and $\overrightarrow{RF}$ (endpoint R, point F). But looking at the figure, the arrow is at T, so the ray is R -> F -> T (with arrow at T, meaning it goes from R through F to T and beyond). So the two names should be $\overrightarrow{RT}$ and $\overrightarrow{RF}$? Wait, maybe the first box is $\overrightarrow{RT}$ and the second is $\overrightarrow{RF}$? Or maybe the first is $\overrightarrow{TR}$? No, no, the ray starts at R, so the endpoint is R, so the name should start with R. So the two ways are $\overrightarrow{RT}$ (using R and T) and $\overrightarrow{RF}$ (using R and F).

Answer:

$\overrightarrow{RT}$ and $\overrightarrow{RF}$ (or depending on the figure, maybe the first is $\overrightarrow{RT}$ and the second is $\overrightarrow{RF}$, but also, another way: the ray can be named by its endpoint and a point in the direction, so $\overrightarrow{RT}$ (endpoint R, passing through T) and $\overrightarrow{RF}$ (endpoint R, passing through F). Alternatively, if the figure is a ray with endpoint R, then the two names are $\overrightarrow{RT}$ and $\overrightarrow{RF}$.)