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Similar Triangles

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**Similar figures have the same shape but not necessarily the same size.**

When naming similar figures, list the letters of the corresponding vertices in the same order. ∆ABC ~ ∆DEF. Two figures are similar if The measures of their corresponding angles are equal. The ratios of the lengths of the corresponding sides are proportional.

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

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**= = = = G A C H F B Small Large**

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 7 in 10 in H 2. Set up proportions F 40 in 3. Simplify B Small 4 in 10 in 7 in = = Large 40 in 28 in 16 in 1 in 1 in 1 in = = 4 in 4 in 4 in

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**The traffic light is about 30 feet tall.**

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

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Assignment

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**You will need two different colored highlighters**

Date ____________ Similar Triangles You will need two different colored highlighters

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**Similar figures have the __________ shape but not necessarily the same size.**

When naming similar figures, list the letters of the corresponding vertices in the _______________________. ∆ABC ~ ∆DEF. Two figures are similar if The measures of their corresponding angles are __________. The ratios of the lengths of the corresponding sides are _________________.

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

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**= = = = G A C H F B Small Large**

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

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**City officials want to know the height of a traffic light**

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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