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Question
Draw a line, say AB. Take a point C outside it. Through C, draw a line parallel to AB using ruler and compass only. [4 MARKS]
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Solution
Construction: 2 Marks
Steps: 2 Marks
To construct: A line parallel to given line by using ruler and compass.
Steps of construction:
1) Draw a line segment AB and take a point C outside AB.
2) Take any point D on AB and join C to D.
3) With D as the centre and taking convenient radius, draw an arc cutting AB at E and CD at F.
4) With C as the centre and same radius as in step 3, draw an arc GH cutting CD at I.
5) With the same arc EF, draw the equal arc cutting GH at J.
6) Join JC to draw a line l.
Steps: 2 Marks
To construct: A line parallel to given line by using ruler and compass.
Steps of construction:
1) Draw a line segment AB and take a point C outside AB.
2) Take any point D on AB and join C to D.
3) With D as the centre and taking convenient radius, draw an arc cutting AB at E and CD at F.
4) With C as the centre and same radius as in step 3, draw an arc GH cutting CD at I.
5) With the same arc EF, draw the equal arc cutting GH at J.
6) Join JC to draw a line l.
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