Using a ruler, a pencil and a pair of compasses, construct the parallelogram
KLMN in which KL= 8cm, KN = 6cm and ∠ = 60
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Answer:
Both diagonals of parallelogram are given then take AC = 8cm and BD = 6m.
Steps of construction:
→ Draw a line segment AC = 8cm.
→ With center A and radius more than half of AC, draw arcs, one on each sides of AC.
→ With center B and same radius, draw arcs cutting the previous arcs P and Q respectively.
→ Join PQ which is perpendicular to BC and
bisects BC at half.
→ Construct an angle 60° at O on both sides of
AC that is above and below.
➡ Then draw the line through an angles which will be passing through pint O.
→ Cut off OD = 3cm and OB = 3cm. Then we get
DB = 6cm.
⇒ Join AD, DC, BC and BA.
Thus, ABCD is the required parallelogram.
Step-by-step explanation:
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