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GEOMETRY: Chapter 11

GEOMETRY: Chapter 11. 11.2 Areas of Regular Polygons. Postulate 24: Area of a Square Postulate The area of a square is the square of the length of its side. A = s 2. Postulate 25: Area Congruence Postulate If two polygons are congruent, then they have the same area.

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GEOMETRY: Chapter 11

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  1. GEOMETRY: Chapter 11 11.2 Areas of Regular Polygons

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

  3. Postulate 25: Area Congruence Postulate If two polygons are congruent, then they have the same area. Postulate 26: Area Addition Postulate The area of a region is the sum of the areas of its nonoverlapping parts.

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

  5. Theorem 11.2:Area of a Parallelogram The area of a parallelogram is the product of a base and its corresponding height. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 721.

  6. Theorem 11.3:Area of a Triangle The area of a triangle is one half the product of a base and its corresponding height. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 721.

  7. Ex. 1. Find the area of the parallelogram RSTU. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 721.

  8. Ex. 1. Find the area of the parallelogram RSTU. Answer: 700 square units Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 721.

  9. Ex. 2. The base of a triangle is one half the height. The area of the triangle is 64 square centimeters. Find the base and height.

  10. Ex. 2. The base of a triangle is one half the height. The area of the triangle is 64 square centimeters. Find the base and height. Answer: 8 cm; 16cm

  11. Ex. 3 You need to buy paint so you can cover the back of an A-frame house and the top of a deck. A gallon of paint covers 275 square feet. How many gallons should you buy. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 722.

  12. Ex. 3 You need to buy paint so you can cover the back of an A-frame house and the top of a deck. A gallon of paint covers 275 square feet. How many gallons should you buy. Answer: 3 gal Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 722.

  13. 11.2, p. 723, #1, 3-8 all, 12-18all, 23-27 odds (16 questions)

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