CONSTRUCTIONS
CONTENT
- Construction of Perpendiculars
- How to Construct Perpendiculars
- Circumscribed and Inscribed Circles of a Triangle
- Construction of Quadrilaterals
- Locus
- Dividing a Line Segment into N Equal Parts
Construction of Perpendiculars
How to Construct a Perpendicular to a Given Straight Line AB from a Point P Outside the Line
Given: A line AB with a point P outside the line AB
Step 1
Fix compasses’ pin at point P. Extend the Compasses wide enough to draw an arc to cut the given line AB at two points x1 and x2.
Step 2
Fix compasses’ pin at x1 and x2, with equal radii, draw arcs to cut each other at Q.
Step 3
Join QP cutting AB at C.
Then ACP = BCP = 900
Example 1:
Using ruler and a pair of compasses only,
(a) Construct
(i) triangle XYZ with |XY| = 8cm, YXZ = 600 and XŶ Z = 300
(ii) the perpendicular ZT to meet XY at T;
(iii) the locus l1 of points equidistant from ZY and XY.
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