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Similar Figures

Similar Figures. You will need two different colored highlighters. Not all slides are used in the notes. Writing Math. When naming similar figures, list the letters of the corresponding vertices in the same order. In the previous table ∆ ABC ~ ∆ DEF .

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Similar Figures

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  1. Similar Figures You will need two different colored highlighters Not all slides are used in the notes

  2. Writing Math When naming similar figures, list the letters of the corresponding vertices in the same order. In the previous table ∆ABC ~ ∆DEF. Similarfigures have the same shape but not necessarily the same size.

  3. Corresponding angles E B 82◦ 82◦ D 43◦ 55◦ F 43◦ 55◦ A C Corresponding sides Matching sides of two or more polygons are called correspondingsides, and matching angles are called corresponding angles.

  4. Determine if the shapes are proportional. Do not rely on a visual G A 4 in C 28 in 16 in 1. Highlight corresponding sides 10 in 7 in H 2. Set up proportions F 40 in 3. Simplify B Small 10 in 7 in 4 in = = Large 28 in 40 in 16 in 1 in 1 in 1 in = = 4 in 4 in 4in

  5. The rectangle on the left is similar in shape to the rectangle on the right. Find the width of the right rectangle. 12 cm 6 cm 3 cm ? 6 12 3 w Let w = the width of the right rectangle. = 1. Write a proportion 6 ·w = 12 · 3 2. Solve the proportion. 6w = 36 36 6 6w 6 = The right rectangle is 6 cm wide. w = 6

  6. City officials want to know the height of a traffic light. Estimate the height of the traffic light. 48.75 h 27.25 15 = Write a proportion. 27 15 Use compatible numbers to estimate. 49 h ≈ h ft 9 5 49 h Simplify. ≈ Solve proportions. 9h ≈ 245 27.25 ft 48.75 ft h ≈ 27 The traffic light is about 30 feet tall.

  7. Notes start here

  8. Date ____________ Similar Figures You will need two different colored highlighters Not all slides are used in the notes

  9. Corresponding angles E B 82◦ 82◦ D 43◦ 55◦ F 43◦ 55◦ A C Corresponding sides Matching sides of two or more polygons are called correspondingsides, and matching angles are called corresponding angles.

  10. Determine if the shapes are proportional. Do not rely on a visual G A C 1. H 2. F 3. B Small = = Large = =

  11. The rectangle on the left is similar in shape to the rectangle on the right. Find the width of the right rectangle. 12 cm 6 cm 3 cm ? Let w = the width of the right rectangle. = = = = =

  12. City officials want to know the height of a traffic light. Estimate the height of the traffic light. = ≈ h ft ≈ ≈ 27.25 ft 48.75 ft

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