You must complete Modular Arithmetic 1 to unlock this Lesson.

# CONSTRUCTIONS

CONTENT

1. Construction of Perpendiculars
2. How to Construct Perpendiculars
3. Circumscribed and Inscribed Circles of a Triangle
5. Locus
6. 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.

Lesson tags: General Mathematics Lesson Notes, General Mathematics Objective Questions, SS1 General Mathematics, SS1 General Mathematics Evaluation Questions, SS1 General Mathematics Evaluation Questions Second Term, SS1 General Mathematics Objective Questions, SS1 General Mathematics Objective Questions Second Term, SS1 General Mathematics Second Term
Back to: GENERAL MATHEMATICS – SS1 > Second Term