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# TechMathI - 6.2 - Similarity

## by lmrhodes on Sep 03, 2010

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## TechMathI - 6.2 - SimilarityPresentation Transcript

• Bell Ringer 1. -5/26 = x/78 2. 2/47 = 10/x 3. x+1/20 = x+4/60 4. 12/x+3 = 40/2x + 2
• - the same shape but not the same size Similar Figures
• ~ is the symbol to represent similar
Similar
• Find the Length of a Side
Example 1 ∆ ABC ~ ∆DFE AB/DF = AC/DE 21 cm 18 cm 15 cm x 10 cm C A B E D F
• Find the Length of a Side
Example 2 ∆ FGH ~ ∆KLM Find LM 32 cm 20 cm 24 cm F G H K L M
• Find the Length of a Side
Example 3 ∆ ABC ~ ∆DFE Find AC x 24 cm 20 12 cm C A B E D F
• You try! Find LM 27 cm 18 cm 69 cm F G H K L M
• Example 1
• A tree casts a shadow 7.5 feet long. A woman 5 ft tall casts a shadow 3 ft long.
• How tall is the tree?
Applying Similarity
• Example 2
• A tree casts a 26 foot shadow. A boy standing nearby casts a 12 foot shadow. His height is 4.5 ft tall.
• How tall is the tree?
Applying Similarity
• You try!
• A house casts a 56 ft shadow. A girl standing nearby casts a 7.2 ft shadow. Her height is 5.4 ft tall.
• How tall is the tree?