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Understanding Similar Triangles Proportions

Learn to identify similar figures, corresponding angles and sides, and solve proportions related to similar triangles. Practice using highlighted examples and estimations to determine proportional relationships.

galvin-montoya
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Understanding Similar Triangles Proportions

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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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