construct a kite and its steps of constructiom
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make a square and make a one
diogonal and it among make a triangle
diogonal and it among make a triangle
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a) Using rulers and compasses only, construct a kite
STUV in which ST =SV = 5.5cm,
SU = 11cm and TV =6cm.
Show all construction lines clearly.
b) Measure and state the magnitude of angle:
(i) STU (ii)SVU
State your observation.
c) Measure and state the length of :
(i) TU (ii)VU
d) Let the point of intersection of the diagonals be represented by O.
Examine:
(i)Δs SOT and SOV
(ii)Δs TOU and VOU
State your observations.
Below can be seen the sketch of the kite STUV to be constructed.
Construction:
First draw a line A, then construct or build the line segment TV = 6cm. At this
point in time construct the perpendicular bisector of TV. Set your compasses to a
radius of 5.5cm, afterwards using T and V as centres, construct or build two arcs
to intersect the perpendicular bisector above TV at S. Draw straight lines from the
point S to T, and the point S to V. Then set your compasses to a radius of 11cm
and using S as centre, construct an arc to intersect the perpendicular bisector
below TV at U. Draw straight lines joining the points T and U, and the points V and
U. We have at last constructed the kite STUV in which ST = SV =5.5cm, SU = 11cm
and TV = 6cm.
following figure will be obtained
STUV in which ST =SV = 5.5cm,
SU = 11cm and TV =6cm.
Show all construction lines clearly.
b) Measure and state the magnitude of angle:
(i) STU (ii)SVU
State your observation.
c) Measure and state the length of :
(i) TU (ii)VU
d) Let the point of intersection of the diagonals be represented by O.
Examine:
(i)Δs SOT and SOV
(ii)Δs TOU and VOU
State your observations.
Below can be seen the sketch of the kite STUV to be constructed.
Construction:
First draw a line A, then construct or build the line segment TV = 6cm. At this
point in time construct the perpendicular bisector of TV. Set your compasses to a
radius of 5.5cm, afterwards using T and V as centres, construct or build two arcs
to intersect the perpendicular bisector above TV at S. Draw straight lines from the
point S to T, and the point S to V. Then set your compasses to a radius of 11cm
and using S as centre, construct an arc to intersect the perpendicular bisector
below TV at U. Draw straight lines joining the points T and U, and the points V and
U. We have at last constructed the kite STUV in which ST = SV =5.5cm, SU = 11cm
and TV = 6cm.
following figure will be obtained
Attachments:
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