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Bell work: Solve each proportion 9 = a 2 14 15 = 3 m + 1 m
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Lesson 7-1: Ratios of Similar Polygons Rigor: Determine if 2 figures are similar, determine the similarity ratio, and calculate side lengths of similar polygons Relevance – Indirect measurement and scale models
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What are Similar Figures? Similar figures – have the same shape, but not necessarily the same size Symbol is ~ Turn to page 281 in the core book for formal definition and examples 1 & 2
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EX 3: Determining Similarity Are the polygons similar? If so, write a similarity statement and determine the scale factor. a)b)
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Notes: Scale Drawings Scale Drawings/models – all drawing/model lengths are proportional to corresponding actual lengths Ratios (Scales) of scale drawings can have different units! Example = 1cm : 200m
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Ex 4: Scale Drawings A boxcar has the dimensions shown. A model of the boxcar is 1.25in wide. Find the length of the model to the nearest inch.
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Ex 5: Scale Drawings The Seattle Space Needle is 605ft tall. Tommy decides to make a scale drawing on an 8.5in by 11in piece of paper. If Tommy chooses a 1in : 50ft scale, is his paper big enough?
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7-1 Classwork from the core book Pg 285 and 286 ALL 7-1 Homework from Core book Pg 283 #1 – 3 and pg 284 ALL Due Tuesday for periods 1, 3, 5, 7 Due Wednesday for periods 2 & 4
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