Question Video: Identifying the Projection of a Line Segment on a Straight Line | Nagwa Question Video: Identifying the Projection of a Line Segment on a Straight Line | Nagwa

# Question Video: Identifying the Projection of a Line Segment on a Straight Line Mathematics • Second Year of Preparatory School

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What is the projection of line segment π΄π· on line π΄πΆ?

01:20

### Video Transcript

What is the projection of line segment π΄π· onto line π΄πΆ?

First of all, we want to know what our target line is. This is the line on which our projection will fall. Since we want to know the projection of line segment π΄π· onto line π΄πΆ, line π΄πΆ is our target line. First, we identify line π΄πΆ, and then we need the segment that we want to make a projection of, which is π΄π·. To visualize a projection, we need to visualize a light source that is perpendicular to our target line. In this diagram, we already have a line segment thatβs perpendicular to our target line. Thatβs the line segment π·π. Weβll use lines that are parallel to π·π to find this projection.

If we want to know what kind of shadow this line segment π΄π· would create, it would fall between π΄ and π on our target line, with the line segment π΄π being its shadow. That shadow portion is the projection. And so we say that the projection of line segment π΄π· onto line π΄πΆ would be line segment π΄π.

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