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Perpendicular from a point on a line

This task guides you through the construction of a perpendicular line from a point X located on line AB. Starting with point X, follow the steps to draw a perpendicular line to AB, denoting the intersection points with arcs. You will create arcs centered at points G and F, and then join point X to Y, marking the desired perpendicular line XY. This construction illustrates basic geometric principles and enhances understanding of perpendicular relationships.

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Perpendicular from a point on a line

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  1. Perpendicular from a point on a line

  2. A B X Perpendicular from a point on a line Task: X is a point on line AB. Task: X is a point on line AB. At X draw the perpendicular to AB. Task: X is a point on line AB. At X draw the perpendicular to AB. Task: Conclusion: Construction: • XY is the perpendicular to AB. • Label the point of intersection of the two arcs Y. • Centre G, same radius, draw another arc. • Centre F, radius larger than FX, draw an arc. • Centre X, any radius, draw arcs to cut AB atFand G. • Join XY. Y F G

  3. A B X Perpendicular from a point on a line Task: X is a point on line AB. At X draw the perpendicular to AB. Task: Task: X is a point on line AB. Conclusion: • XY is the perpendicular to AB. Y RESTART END SHOW F G

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