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Similar Triangles

Similar Triangles. When naming similar figures, list the letters of the corresponding vertices in the same order. ∆ ABC ~ ∆ DEF. Similar figures have the same shape but not necessarily the same size. Corresponding angles. E. B. 82◦. 82◦. D. 43◦. 55◦. F. 43◦. 55◦. A. C.

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Similar Triangles

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  1. Similar Triangles

  2. When naming similar figures, list the letters of the corresponding vertices in the same order. ∆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. 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 rounded 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.

  6. Assignment

  7. Date ____________ Similar Triangles You will need two different colored highlighters

  8. When naming similar figures, list the letters of the corresponding vertices in the _______________________. ∆ABC ~ ∆DEF. Similarfigures have the __________ shape but not necessarily the same size.

  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. 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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