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Use a ruler and compasses to construct the line from the point P perpendicular to the line CD - Edexcel - GCSE Maths - Question 5 - 2019 - Paper 1

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Use a ruler and compasses to construct the line from the point P perpendicular to the line CD. You must show all construction lines. × P C ________________... show full transcript

Worked Solution & Example Answer:Use a ruler and compasses to construct the line from the point P perpendicular to the line CD - Edexcel - GCSE Maths - Question 5 - 2019 - Paper 1

Step 1

Draw a Circle with Center P

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Answer

Using a compass, place the point at P and draw a circle that intersects line CD at two points. Label these intersection points as A and B.

Step 2

Bisect the Line Segment AB

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Answer

Using a compass, measure the distance from A to B and draw arcs above and below the line segment AB with the compass set to a radius greater than half of AB. The two arcs will intersect at points C and D.

Step 3

Draw the Perpendicular Line

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Answer

Using a ruler, draw a straight line connecting point P to the intersection of points C and D. This line is the perpendicular line from point P to line CD.

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