Construction of a kite


 * Learn steps for constructing a kite with given measures.
 * Estimated Time : 20 minutes.
 * Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
 * Prerequisites/Instructions, if any:
 * 1) Students should have prior knowledge about a kite and its properties.
 * 2) They should know a perpendicular line and its construction.
 * 3) 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
 * Process:
 * 1) The teacher can initially have a recaptualation of the concept of a kite and its properties.
 * 2) 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.
 * 3) 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:
 * 1) What are the properties of a kite ?
 * 2) What measures are given for constructing a kite ?
 * 3) By which given measure can we begin the kite construction ?
 * 4) What is the angle between the two diagnols in a kite ?
 * 5) For what purpose are we drawing the perpendicular bisector ?
 * 6) What is the purpose of drawing an arc ?
 * 7) What should be measure of the radius of the arc ?
 * 8) Why should AD and BD be same ?
 * Evaluation:
 * 1) Check if the constructed kite satisfies all of its properties.
 * Question Corner:
 * 1) Can you think of any other method of kite construction for the given measures ?