Does the figure allow you to conclude that the ray starting at 𝐶 and passing through 𝐷 passes through point 𝐵?
Does the given figure allow you to
conclude that the ray starting at 𝐶 and passing through 𝐷 passes through point
𝐵. In order to answer this question,
we need to recall what we mean by a ray. We say that a ray is a portion of a
line. Unlike a line segment, though, it
extends from a single endpoint and goes off in a particular direction to
infinity. Our ray starts at 𝐶, so 𝐶 is the
endpoint, and it passes through 𝐷. We can represent this using a
single arrow 𝐶𝐷 as shown.
So does this ray pass through point
𝐵? Well, no, we said that point 𝐶 is
the endpoint. It’s the point at which a line
segment or ray ends. It does not extend back out past
this endpoint in the direction of 𝐵. And so we can say no, the given
figure does not allow us to conclude that the ray that starts at 𝐶 and passes
through 𝐷 also passes through point 𝐵.