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Question
- this figure is a step in which construction? a line parallel to ab through point p a line perpendicular to ab through point p
In the construction of a line perpendicular to a given line (\(\overline{AB}\)) through a point \(P\) on the line, we first mark points \(A\) and \(B\) equidistant from \(P\) on \(\overline{AB}\). Then, we create arcs of equal radius from \(A\) and \(B\) above (or below) the line, and the intersection of these arcs gives a point \(C\). The line through \(P\) and \(C\) is perpendicular to \(\overline{AB}\). This figure shows the arcs from \(A\) and \(B\) intersecting at \(C\), which is a step in constructing a perpendicular line.
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a line perpendicular to \(\overline{AB}\) through point \(P\)