Question Video: Identifying the Projection of Perpendicular Line Segments | Nagwa Question Video: Identifying the Projection of Perpendicular Line Segments | Nagwa

# Question Video: Identifying the Projection of Perpendicular Line Segments Mathematics • Second Year of Preparatory School

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What is the projection of line segment ๐ด๐ท on line ๐ต๐ถ?

01:27

### Video Transcript

What is the projection of line segment ๐ด๐ท onto line ๐ต๐ถ?

When weโre working with these kind of projections, we always want to consider the target line first, the line on which the projection will fall. In this case, itโs the line ๐ต๐ถ, so weโll show that line ๐ต๐ถ is our target line. The segment weโre using that we want to project is ๐ด๐ท, this segment. We should be noticing that our line segment we want to make projection of is perpendicular to our target line. When we try to visualize a projection, we always use lines that are perpendicular to the target line. So how do we visualize line segment ๐ด๐ท?

Imagine that we have a laser light source where itโs shining a light perpendicular to our line ๐ต๐ถ. What kind of shadow is it going to create? Well, when it hits point ๐ด, itโs just going to make a point as a projection. Its shadow will just be the point ๐ท. We might be able to visualize this a bit better if we take it out of the triangle. Once our light source hits point ๐ด, its shadow will just be a point. It will not be a line segment. And so the projection of line segment ๐ด๐ท onto the line ๐ต๐ถ is the point ๐ท.

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