A carpenter in Barbados needs to construct a line parallel to an existing edge of a wooden board, passing through a marked point P not on that edge. Which construction method is most appropriate?

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Question

A carpenter in Barbados needs to construct a line parallel to an existing edge of a wooden board, passing through a marked point P not on that edge. Which construction method is most appropriate?

Accepted Answer

Construct a perpendicular from P to the edge, then a perpendicular to that line at P — Award 1 mark for identifying that constructing two perpendicular lines produces a parallel line through P. A is incorrect — the perpendicular bisector passes through the midpoint, not through P. C is incorrect — angle bisection does not produce a parallel line. D is incorrect — a single arc does not determine a parallel line.

Answer

Construct a perpendicular from P to the edge, then a perpendicular to that line at P

Answer

Draw an arc centred at P touching the edge

Answer

Bisect the angle between P and the edge

Answer

Construct the perpendicular bisector of the edge

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