6. Perpendiculars and Distance
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Draw a segment through Y that is perpendicular to TS.
Graph:
The segment that represents the required distance is a segment through Y that is perpendicular to TS. First, we need to extend the segment TS to get the line TS.
Next, with a compass, we put the its tip on Y and draw an arc that passes through S and intersects TS. We will call that last point R.
Now, let M be the midpoint between S and R. We have that the segment YM is perpendicular to TS.