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
Question 5
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.