1. Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites

2. Area of Parallelograms
THEOREM 10.1 – Area of a Rectangle The area of a rectangle is the product of its base and height.
THEOREM 10.2 – Area of a Parallelogram The area of a parallelogram is the product of a base and a corresponding height.

3. Area of Parallelograms

4. Examples
Find the area.

5. Examples
Find the value of h.

6. Area of Triangle
THEOREM 10.3 – Area of a Triangle The area of a triangle is half the product of a base and the corresponding height.
A triangle is half of a parallelogram.

7. Examples
Find the area.

8. Area of Trapezoid
THEOREM 10.4 – Area of a Trapezoid The area of a trapezoid is half the product of the height and the sum of the bases.

9. Examples
Find the area.
20 in.
18 in.
36 in.

10. Area of Rhombus and Kite
THEOREM 10.5 – Area of a Rhombus or a Kite The area of a rhombus or kite is half the product of the lengths of the diagonals.

11. Examples
Find the area.
Rhombus:

12. Trig Review
Find the value of the variable to the nearest tenth.

13. Examples
Find the area.
8 m.
55˚
13 m.

14. Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites
HW: p. 537 #1-9, 11, 13, 34 p. 542 #1-5, 8-16