​Area of a Rhombus and Area of a Kite

About Geometry Worksheet Assignment 8.8:                   

 

Assignment 8.8 is an introduction to areas of rhombuses and kites.

 

Prerequisite Skills:  Identify rhombuses (Assignment 3.19).  Identify the relationship of diagonals in rhombuses and kites (Assignment 4.18).  Find areas of polygons by counting squares in their interiors (Assignment 8.1).  Measure lengths to the nearest cm. (Assignment 1.11).  Find area of triangles (Assignment 8.6).

 

Theorems:  The diagonals of a rhombus or kite are perpendicular.  The diagonals divide the rhombus or kite into triangles.  The area is the sum of the areas

                           of the triangles.

 

                           The area of a rhombus or kite is one-half the product of the lengths of its diagonals.

 

                                                                                                                                                                                      1

                           The formula for the area of a rhombus or kite is:  A =  2  (d1 + d2)  (A is Area; d1 and d2 are the lengths of the diagonals)