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Question Video: Identifying Rays Mathematics • 3rd Grade

Does the figure allow you to conclude that the ray starting at 𝐢 and passing through 𝐷 passes through point 𝐡?

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Video Transcript

Does the given figure allow you to conclude that the ray starting at 𝐢 and passing through 𝐷 passes through point 𝐡. 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 𝐢, so 𝐢 is the endpoint, and it passes through 𝐷. We can represent this using a single arrow 𝐢𝐷 as shown.

So does this ray pass through point 𝐡? Well, no, we said that point 𝐢 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 𝐡. And so we can say no, the given figure does not allow us to conclude that the ray that starts at 𝐢 and passes through 𝐷 also passes through point 𝐡.

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