Constructing a perpendicular from a point off a line
Constructing a perpendicular from a point off a line.
- Use a sharp pencil, ruler and compasses or protractor as specified.
- Keep the arcs and guide marks that show how the construction was made.
- Check the required lengths and angles without erasing the construction.
Example 1
Construct a perpendicular to the line through P.
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Example 2
Construct a perpendicular to the line through P.
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Your turn
Construct a perpendicular to the line through P.
Check answer
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
Check answer
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
Check answer
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
Check answer
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
Check answer
Draw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
AnswerDraw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
AnswerDraw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
AnswerDraw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
AnswerDraw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.
Construct a perpendicular to the line through P.
AnswerDraw an arc centred on P cutting the line at two points. Use those points as centres for equal arcs. Join P to the new arc intersection.