Areas of Rectangles Lesson 11.1 Geometry Honors

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Areas of RectanglesLesson 11.1Geometry Honors

• Objectives
• Understand the areas postulate.
• Know and use the formula for the area of
  rectangle.

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Lesson Focus

• The concept of the area of a geometric figure is
  introduced in this lesson. Three postulates are
  stated that give basic information about the area
  of a square, areas of congruent figures, and
  additional areas. The formula for the area of a
  rectangle is proved as a theorem.

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Areas of Rectangles

• Postulate
• The area of a square is the square to the
  length of a side.
• A s2

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Areas of Rectangles

• Area Congruence Postulate
• If two figures are congruent, then the have the
  same area.

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Areas of Rectangles

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

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Areas of Rectangles

• Theorem
• The area of a rectangle equals the product of
  its base and height.
• A bh

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Areas of Rectangles

• Classify each statement as True or False.
• 1. If two figures have the same area, then they
  must be congruent.
• 2. If two figures have the same perimeter, then
  they must have the same area.
• 3. If two figures are congruent, then they must
  have the same area.
• 4. Every square is a rectangle.
• 5. Every rectangle is a square.
• 6. The base of a rectangle.

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Areas of Rectangles

• Classify each statement as true or false.
• 1. If two figures have the same area, then they
  must be congruent. False
• 2. If two figures have the same perimeter, then
  they must have the same area. False
• 3. If two figures are congruent, then they must
  have the same area. True
• 4. Every square is a rectangle. True
• 5. Every rectangle is a square. False
• 6. The base of a rectangle. True

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Written Exercises

• Problem Set 11.1, p.427 2 - 20 (even)
  Handout 11-1