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Essential Understanding

 You can use ratios to compare the perimeters and
  areas of similar figures

 Students will be able to find the perimeters and
  areas of similar figures
Perimeters and Areas of
       Similar Figures
 If the scale factor of two similar figures is a/b, then
    The ratio of their perimeters is a/b
    The ratio of their areas is a2/b2
Finding Ratios

 Two similar polygons have corresponding sides in
  the ratio 5:7

 What is the ratio (larger to smaller) of their
  perimeters?

 What is the ratio (larger to smaller) of their areas?
Finding Area

 The scale factor of two similar parallelograms is ¾.
  The area of the larger parallelogram is 96 in2. What
  is the area of the smaller parallelogram?
Finding Area

 The area of the smaller regular hexagon is about 127.3
  ft2. What is the best approximation for the area of the
  larger regular hexagon?
Applying Area

 The scale factor of the dimensions of two similar
  pieces of window glass is 3:5. The smaller piece
  costs $2.50. How much should the larger piece
  cost?
Applying Area
Finding Perimeter

 The areas of two similar rectangles are 1875 ft2 and
  135 ft2. What is the ratio of their perimeters?
Perimeter
Homework

 Pg. 638

 # 9 – 18, 20 – 28 even, 46

 16 problems

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Finding Ratios of Perimeters and Areas of Similar Figures

  • 1.
  • 2. Essential Understanding  You can use ratios to compare the perimeters and areas of similar figures  Students will be able to find the perimeters and areas of similar figures
  • 3. Perimeters and Areas of Similar Figures  If the scale factor of two similar figures is a/b, then  The ratio of their perimeters is a/b  The ratio of their areas is a2/b2
  • 4. Finding Ratios  Two similar polygons have corresponding sides in the ratio 5:7  What is the ratio (larger to smaller) of their perimeters?  What is the ratio (larger to smaller) of their areas?
  • 5. Finding Area  The scale factor of two similar parallelograms is ¾. The area of the larger parallelogram is 96 in2. What is the area of the smaller parallelogram?
  • 6. Finding Area  The area of the smaller regular hexagon is about 127.3 ft2. What is the best approximation for the area of the larger regular hexagon?
  • 7. Applying Area  The scale factor of the dimensions of two similar pieces of window glass is 3:5. The smaller piece costs $2.50. How much should the larger piece cost?
  • 9. Finding Perimeter  The areas of two similar rectangles are 1875 ft2 and 135 ft2. What is the ratio of their perimeters?
  • 11. Homework  Pg. 638  # 9 – 18, 20 – 28 even, 46  16 problems