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Construct the perpendicular from the point P to the line AB - OCR - GCSE Maths - Question 22 - 2019 - Paper 1

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Question 22

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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.

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