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Question
Construct a kite KIPS in which KI = KS =3.5 cm, IP = SP = 4.5 cm and KP = 6 cm
Construct a kite KIPS in which KI = KS =3.5 cm, IP = SP = 4.5 cm and KP = 6 cm
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Solution
A kite can be considered to be 2 isosceles triangles sharing the side which has a different length, which is the diagonal.
To construct the kite, follow these steps:
- First draw a straight line segment equal to the length of the diagonal. Let's name this KP. So KP has a length of 6 cm.
- Now using your compass set its width to the length of KI = 3.5cm. Set the compass on K and draw an arc.Again, using your compass set its width to the length of IP = 4.5cm. Set the compass on P and draw another arc to intersect the earlier arc you had drawn. Indicate the point of intersection of the two arcs as I.
- Now using your compass set its width to the length of KS = 3.5cm. Set the compass on K and draw an arc on the other side of KP as you drew the arcs in step 2. Again, using your compass set its width to the length of SP = 4.5cm. Set the compass on P and draw another arc to intersect the earlier arc you had drawn in this step. Indicate the point of intersection of the two arcs as S.
- Once you have marked the points K,I,P,S, join KI,IP,PS,SK using your ruler. The kite has been constructed.
A kite can be considered to be 2 isosceles triangles sharing the side which has a different length, which is the diagonal.
To construct the kite, follow these steps:
- First draw a straight line segment equal to the length of the diagonal. Let's name this KP. So KP has a length of 6 cm.
- Now using your compass set its width to the length of KI = 3.5cm. Set the compass on K and draw an arc.Again, using your compass set its width to the length of IP = 4.5cm. Set the compass on P and draw another arc to intersect the earlier arc you had drawn. Indicate the point of intersection of the two arcs as I.
- Now using your compass set its width to the length of KS = 3.5cm. Set the compass on K and draw an arc on the other side of KP as you drew the arcs in step 2. Again, using your compass set its width to the length of SP = 4.5cm. Set the compass on P and draw another arc to intersect the earlier arc you had drawn in this step. Indicate the point of intersection of the two arcs as S.
- Once you have marked the points K,I,P,S, join KI,IP,PS,SK using your ruler. The kite has been constructed.
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