(a) Draw and label the line \( P Q=8 \mathrm{~cm} \).
(b) Using a pair of compasses and a ruler only, construct an angle of \( 60^{\circ} \) at \( \mathrm{P} \).
(c) Draw an angle of \( 40^{\circ} \) at \( \mathrm{Q} \).
[1]
(d) Complete and label the diagram to form \( \triangle \mathrm{PQR} \).
[2]
Answer
4. Extend lines from steps 2 and 3 to intersect at point R, forming triangle PQR.
Step 1 ：1. Draw line segment PQ with length 8 cm.
Step 2 ：2. Place compass point on P, draw an arc and use ruler to bisect the arc twice to create an angle of 60° at P.
Step 3 ：3. Place compass point on Q, draw an arc, and use ruler to bisect the arc until an angle of 40° at Q is formed.
Step 4 ：4. Extend lines from steps 2 and 3 to intersect at point R, forming triangle PQR.
