# Constructing kites

## Constructing kites

 Did you know that there are many ways to construct a kite. An understanding of the various geometric properties allows us to understand why.

Open GeoGebra and investigate each of the following methods for constructing kites. Add some text to each applet to explain the following:

1. Why does each construction give you a kite?

2. What conditions will make it a non-convex kite?

Construct two intersecting circles.

Mark their points of intersection.

Join each centre to each point of intersection.

Construct a segment.

Draw its perpendicular bisector.

Place two distinct points on the perpendicular bisector.

Connect these points with the endpoints of the segment.

Construct two isosceles triangles sharing a common base.

Note: Make sure you have two distinct third vertices.

In a rectangle, mark the midpoints of two opposite sides.

Draw a line parallel to those two chosen sides.

Mark the points of intersection of the other two sides (or their extensions) and the parallel line you have drawn.

Connect those intersection points to the given midpoints.

Reflect any triangle over any one of its sides.

Note: Click on the triangle, then the side.