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Using ruler and compasses only, construct the perpendicular bisector of FG. - OCR - GCSE Maths - Question 15 - 2018 - Paper 1

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Question 15

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Using ruler and compasses only, construct the perpendicular bisector of FG.

Worked Solution & Example Answer:Using ruler and compasses only, construct the perpendicular bisector of FG. - OCR - GCSE Maths - Question 15 - 2018 - Paper 1

Step 1

Construct a Circle Around Point F

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Answer

Using a compass, place the pointed end on point F and draw a circle with a radius that is more than half the distance between points F and G.

Step 2

Construct a Circle Around Point G

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Answer

Without changing the radius, place the pointed end of the compass on point G and draw another circle that intersects the first circle. Ensure that both circles intersect at two points.

Step 3

Draw the Perpendicular Bisector

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Answer

Label the points where the two circles intersect as points A and B. Use your ruler to draw a straight line through points A and B. This line is the perpendicular bisector of segment FG.

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