1. 10.1 Area of Parallelograms & Triangles
Chapter 10: Area
10.1
Area of Parallelograms & Triangles

2. A little review… Take out a sheet of paper and a pencil!
No talking during the “quiz”
We will grade your answers at the end…
Ready???

3. A little review…
Simplify the following: 1. 2. 3.

4. A little review…
Solve each quadratic equation: 4. 5.

5. A little review…
Simplify the radical and leave in simplest radical form: 6. 7.

6. A little review…
Classify the quadrilateral as specifically as possible 8. 9.

7. Answers…
2. 8
3. 13
4. -6, 6
5. -4√3, 4√3
6. 3√3
7. 36√2
8. parallelogram
9. rhombus

8. Theorem 10-1 Area of a Rectangle:
The area of a rectangle is the product of its base and height

9. Theorem 10-2 Area of a Parallelogram
The area of a parallelogram is the product of a base and the corresponding height

10. Vocabulary base of a parallelogram altitude height
can be ANY of its sides
altitude
segment perpendicular to the line containing that base, drawn from the side opposite the base
height
the length of an altitude

11. Example 1
Find the area of the parallelogram:

12. Example 1
Find the area of the parallelogram:

13. How are a triangle and a parallelogram related???

14. Theorem 10-3 Area of a Triangle
The area of a triangle is half the product of a base and the corresponding height

15. Example 3
Find the area of the triangle:

16. Homework
p. 536
1, 2, 8, 9, 13, 18, 26, 36