In this question, use a straight edge and compasses only and show all your construction arcs. Construct the bisector of angle ABC.

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Your aim is to construct an angle $∠$ YPX = $30^{\circ}$ using a compass and a straight edge only. What is the total number of arcs (not necessarily equal in length) to be drawn to construct an angle of $30^{\circ}$ after drawing the base ray PX?

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Construct an angle $∠ Y P X = 30^{\circ}$ using a compass and a straight edge only. [4 marks]

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Your aim is to construct an angle $∠ Y P X = 30^{\circ}$ using a compass and a straight edge only.

What is the total number of arcs (not necessarily equal in length) to be drawn to construct an angle of $30^{\circ}$ after drawing the base ray PX?

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

(i) Construct a $∆ A B C$ in which $B C = 6.5 c m ∠ A B C = 60^{\circ}, A B = 5 c m .$

(ii) construct the locus of points equidistant of $3.5 c m$ from A.

(iii) construct the locus of points equidistant from AC and BC.

(iv) mark $2$ points X and Y which are at a distance of $3.5 c m$ from A and also equidistant from AC and BC measure XY.

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Use ruler and compass only for the following question. All construction lines and arcs must be clearly shown.
Construct a

△ A B C

in which

B C = 6.5 c m, ∠ A B C = 60^{\circ}, A B = 5 c m

. Construct a locus of points

l_{1}

at a distance of

3.5 c m

from

A

. Also, construct a locus of points

l_{2}

which is equidistant from

A C

and

B C

. Let

l_{1}

intersect

l_{2}

in two points

X

and

Y

. Measure

X Y

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