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Notes # 71 Area of Triangles and Parallelograms (11.1)

Notes # 71 Area of Triangles and Parallelograms (11.1). Postulate 24 . Area of a square Postulate The area of a square is the square of the length of its sides. A = s 2. Postulate 25 . Area Congruence Postulate If two polygons are congruent, then they have the same area. Postulate 26.

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Notes # 71 Area of Triangles and Parallelograms (11.1)

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  1. Notes #71 Area of Triangles and Parallelograms (11.1)

  2. Postulate 24 Area of a square Postulate The area of a square is the square of the length of its sides. A = s2

  3. Postulate 25 Area Congruence Postulate If two polygons are congruent, then they have the same area.

  4. Postulate 26 Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts.

  5. Theorem 11.1 Area of a Rectangle The area of a rectangle is the product of its base and height. A = bh

  6. Theorem 11.2 Area of a Parallelogram The area of a parallelogram is the product of a base and its corresponding height. A=bh

  7. Theorem 11.3 Area of a Triangle The area of a triangle is one half the product of a base and its corresponding height A = ½ bh

  8. Examples Find the area of the polygons. 1. 2. 3.

  9. Examples 4. Find the value of x.

  10. Examples 5. Find the perimeter and area of the triangle. Hypotenuse.: 17 ft.; leg: 8 ft.

  11. Examples 6. Find the area of the quadrilateral.

  12. Example 7. Find the area of the shaded region.

  13. Independent Practice. #1 Find the value of x.

  14. Independent Practice. #2 Find the perimeter and area of the triangle. Hypotenuse.: 53 in.; leg: 45 in.

  15. Independent Practice. #3 Find the area of the quadrilateral.

  16. Independent Practice. #4 Find the area of the shaded region.

  17. Independent Practice. #5 In ABCD, base is 25 units and is 12 units. Find the height and area of ABCD if mA is 30

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