#### Question

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

Construct the locus of points equidistant from AC and BC.

#### Solution

Steps for construction :

1) With C as the centre and with the radius of a length less than CA or BC, draw an arc to cut the line segments AC and BC at D and E respectively.

2) With the same radius or a suitable radius and with D as the centre, draw an arc of a circle.

3) With the same radius and with E as the centre draw an arc such that the two arcs intersect at H.

4) Join C and H.

5) CH is the bisector of ÐACB and is the required locus.

Is there an error in this question or solution?

#### APPEARS IN

Solution Use Ruler and Compasses Only for the Following Questions. All Constructions Lines and Arcs Must Be Clearly Shown Construct the Locus of Points Equidistant from Ac and Bc. Concept: Loci Examples.