the notation RY(-->) and YR(-->) represent the same ray
true or false
False.
why?
This is false because the notation RY(-->) means that the ray starts at point R and extends in the direction of point Y, while the notation YR(-->) means that the ray starts at point Y and extends in the direction of point R. These are different rays with different starting points and directions. The order of the points in the notation is important and changes the meaning of the ray.
True.
To understand why the notation RY(--) and YR(--) represent the same ray, we need to understand what these notations mean.
In geometry, a ray is a part of a line that has one endpoint and extends infinitely in one direction. It is commonly represented by a single lowercase letter followed by an arrow symbol (-->) indicating the direction of the ray.
In this case, RY(--) and YR(--) both represent a ray, but with a different choice of letter for the initial point.
Let's break it down:
- RY(--) represents a ray starting from point R and extending in the direction of Y.
- YR(--) represents a ray starting from point Y and extending in the direction of R.
Here's the key observation: No matter which point we choose as the initial point, the direction in which the ray extends remains the same. In both cases, the ray extends from one point towards the other.
Therefore, both RY(--) and YR(--) represent the same ray, and the statement "RY(--) and YR(--) represent the same ray" is true.