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*Estimated Time : 20 minutes.
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
*Prerequisites/Instructions, if any:
#Students should have prior knowledge about a kite and its properties.
#They should know a perpendicular line and its construction.
#They should know to construct a line segment of given length by constructing arcs.
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been done by ITfC-Edu-Team
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*Process:
#The teacher can initially have a recaptualation of the concept of a kite and its properties.
#Give them measures say, "Construct a kite which has its congruent sides as 4 cm and 6 cm a pair with one of its diagnols measuring 5cm.
#Can project the geogebra file and explain the steps of construction for the given measures.
*Draw a rough small kite labelling with the given measures.
*Begin with drawing a line segment, the diagnol of a given measure, here 5 cm. label it as AB.
*Draw a perpendicular bisector to this line segment AB.
*With A as centre construct an arc with 4cm as radius. Mark the intersecting point of arc with the perpendicular bisector as D. Join AD.
*With B as centre construct another arc with the same radius 4cm. You get the same point D as point of intersection .
*Join AD and BD which would measure 4cm each and would become one pair of congruent sides of the kite.
*Similarly draw arcs on the other side taking radius as 6cm to get other pair of congruent sides.
*ADBE would be the specified kite.
*Developmental Questions:
#What are the properties of a kite ?
#What measures are given for constructing a kite ?
#By which given measure can we begin the kite construction ?
#What is the angle between the two diagnols in a kite ?
#For what purpose are we drawing the perpendicular bisector ?
#What is the purpose of drawing an arc ?
#What should be measure of the radius of the arc ?
#Why should AD and BD be same ?
*Evaluation:
#Check if the constructed kite satisfies all of its properties.
*Question Corner:
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#Can you think of any other method of kite construction for the given measures ?