# Construction of a kite

From Karnataka Open Educational Resources

- 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:

- 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

- 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:

- Can you think of any other method of kite construction for the given measures ?