This document provides information about different types of quadrilaterals: kites, rhombi, and squares. It includes definitions, properties, and formulas for calculating the areas and perimeters of each shape. For kites, it defines them as two coincident isosceles triangles and lists properties like having one axis of symmetry. Formulas are given for finding the area of a kite using its two diagonals, and the perimeter by adding the four sides. Rhombi are defined as shapes formed from an isosceles triangle and its reflection, and their properties include all equal sides and diagonals that bisect angles. Square properties noted are all equal sides and right angles.
3. Understanding Kite
A kite is formed by combining
two isosceles triangles whose
bases are equal in length and
coincident.
4. The Properties of Kite
1. Has one axis of symmetry
2. A pair of opposite angles equal
3. Diagonal perpendicular berpotongn
4. An angle equal to the diagonal split
5. Can occupy the frame with two way
6. Two pairs of adjacent sides of equal
length
5. Formula for the area of a kite
Area of a kite = ½ diagonal x (the other) diagonal
Example
D1 = 5 cm
D2 = 7 cm
So, the area is (5 × 7) = 35 = 17.5 cm
2 2
6. Formula for the Perimeter of a Kite
Perimeter = Side + side + side + side
Example
A
AB = AD = 4 cm
B D BC = CD = 6 cm
C
So, perimeter of kite ABCD is 4 + 4 + 6 + 6 =
20 cm.
8. Understanding Rhombus
A rhombus is formed by
combining an isosceles triangle
and its image which is reflected
in respect to the base of the
triangle.
9. The Properties of Rhombus
All sides of a rhombus are equal in
length,each of the two diagonals in every
rhombus is an axis of symmetry,in every
rhombus the opposite interior angles are
equal in measure and are bisected by the
diagonals.
10. Formula for the Area and Perimeter of
a Rhombus
Area = ½ diagonal x (the other) diagonal
Perimeter = Side + side + side + side
Example A
B D AB = BC = CD = DA = 5 cm
AC = 7 cm
C BD = 9 cm
Area = (7 × 9) : 2 = 31.5 cm
Perimeter = 4 (5) = 20 cm
12. Understanding Square
Square is figures whose each
interior angle fit into the
position of their other angle and
that can fit their frame in eight
ways.
13. The Properties of Square
• All four sides equal in length
• Large number of corner angle of 360 degrees
• The two diagonals intersect perpendicularly
bisects the length and
• Four sides is a right angle elbow
14. Formula for the Area and Perimeter of
a Square
Area = Side × side
Perimeter = 4 × side
Example
