1. Kites Another Type of Quadrilateral

2. Review of Quadrilaterals ParallelogramHas two parallel pairs of opposite sides. RectangleHas two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. SquareHas two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. RhombusA parallelogram with four equal sides. Not a square because it does not have four right angles.

3. Trapezoids and Kites  A Trapezoid is a quadrilateral because it has four sides. It is NOT a parallelogram because both pairs of opposite sides are not parallel.  Another type of quadrilateral that is NOT a parallelogram is a Kite.  Definition of a Kite:  Kite – A quadrilateral with two pairs of congruent, adjacent sides.

4. Properties of a Kite  The diagonals of a kite are perpendicular. The longer diagonal is the bisector of the shorter diagonal.  There is exactly one pair of opposite angles that are congruent.  There are two consecutive pairs of congruent sides.

5. Examples of Kite Properties Diagonals are Perpendicular One pair of opposite angles are congruent Two consecutive, adjacent pairs of congruent sides

6. Example #1  Given: GJIH is a Kite. HG=HI and IJ=GJ. The following questions are true or false.  True False True False

7. Example #2  Given: GJIH is a Kite. HI = 10, GJ = 18. IK = 8 and KG = 8. Find the following values:  HG =  IJ =  IG =  HK =  KJ =  HJ = 10 6 16 18

8. Example #3  Given: WXYZ is a Kite. WX = YX and WZ=YZ. Find the following angles:  VYZ =  VXY =  WZY =  XWZ =  WXY =