Construct the perpendicular from the point P to the line AB - OCR - GCSE Maths - Question 22 - 2019 - Paper 1
Question 22
Construct the perpendicular from the point P to the line AB.
Show all of your construction lines.
Worked Solution & Example Answer:Construct the perpendicular from the point P to the line AB - OCR - GCSE Maths - Question 22 - 2019 - Paper 1
Step 1
Step 1: Setting the Compass
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Answer
Place the compass point on point P and draw an arc that intersects line AB at two points. Label these points as C and D.
Step 2
Step 2: Measuring the Arc
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Answer
Keep the same compass width and place the compass point on point C. Draw an arc above and below line AB. Repeat this process from point D to create two more intersecting arcs.
Step 3
Step 3: Drawing the Perpendicular Line
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Answer
Label the points where the arcs intersect as E and F. Use a ruler to draw a straight line from point P through the intersection point (E and F), which forms the perpendicular line to AB.
Step 4
Step 4: Finalizing the Construction
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Answer
Ensure all construction lines (the arcs and perpendicular line) are clearly marked. The perpendicular line from point P to line AB should be visually distinct.
