Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 Chapter 7: Similarity and Transformations Mar 2610:37 AM Scale Diagrams: A diagram that is an enlargement or reduction of another diagram. Mar 117:36 PM 1 Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 The measurements in each diagram are compared. Scale Factor = Length of Scale Diagram Length of Original Diagram The scale factor can be written as a fraction or decimal. If the scale factor is less than one, the diagram is a reduction, larger than one indicates the diagram is an enlargement. Mar 117:53 PM When pairs of corresponding lengths have the same scale factor, we say that the corresponding lengths are proportional. ortio nal. e scal l ina g i r o 4cm 3cm The s se ides pro are p 6cm 4.5cm Hypotenuse Leg scale 6 = original 4 scale = original 4.5 3 = 1.5 =1.5 Mar 118:14 PM 2 Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 3.5 Determine the scale factor. 2.5 5 Scale Factor = Scale Diagram Original Diagram 3.6 scale original Mar 118:06 PM This photo of longhouses has dimensions 9 cm by 6 cm. The photo is to be enlarged by a scale factor of 7. 2 Calculate the dimensions of the enlargement. scale original 6 cm 9cm Mar 118:52 PM 3 Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 Sometimes you are only given the scale diagram.... A scale may be given as a ratio. The scale on this scale diagram of a house is 1:150. This means that 1cm on the diagram represents 150 cm or 1.5m on the house. In other words... the scale factor is 1 150 How wide is the actual house?? Mar 119:07 PM Scale Diagrams: Is this an enlargement or a reduction? 1) An original photo of a cat has dimensions 18 cm by 40.5 cm. A second pictures is made using a scale factor of 0.4. Determine the dimensions of the scaled picture. (Show your work) Mar 117:36 PM 4 Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 Scale Day 2 Diagrams: 2) The following is a scale diagram of "Sue" the TRex. Using the ratio determine the true length of Sue Scale 1:40 35 cm Mar 117:36 PM Here is a scale diagram of back yard which has a scale of 1:125 If the true dimensions of the pool (in cm) has width 500 cm and length is 937.5 cm, what are the deminsions of the pool on the diagram? cm cm Mar 1110:42 PM 5 Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 Mar 278:25 AM Homework Page 329 Page 323 #4,5, 6, #4,5, 6 8, 11(ace), 14 8,9,12 Four data sets 6 Day 1_Section 7.1 and 7.2 Scale diagrams and enlargements & reductions.notebook April 20, 2016 Page 323 # 4, 5, 6 4a) Scale Bottom = 8 = 4 original Bottom 2 Scale Side = 8 = 4 original Side 2 Scale factor is 4 4b) Scale Bottom = 3 = 1.5 Scale Side = 6 = 1.5 original Bottom 2 original Side 4 Scale factor is 1.5 5) side length of original scale factor calculate length of scale side a) 12 cm 3 12 cm x 3 = 36 cm b) 82 mm 5/2 82 mm x 5/2 =205 mm c) 1.55 cm 4.2 1.55 cm x 4.2 = 6.51 cm d )45 mm 3.8 45 mm x 3.8 =171 mm e) 0.8 cm 12.5 0.8 cm x 12.5 = 10 cm 6) Original 17.5 cm by 12.5 cm a) 17.5 x 12 = 210 cm 12.5 x 12 = 150 cm b) 17.5 x 20 = 350 cm 12.5 x 20 = 250 cm 210 cm by 150 cm 350 cm by 250 cm c) 17.5 x 3.5 = 61.25 cm 12.5 x 3.5 = 43.75 cm 61.25 cm by 43.75 cm rounded to nearest cm 61 cm by 44 cm c) 17.5 x (4.25) = 74.375 cm 12.5 x 4.25 = 53.125 cm Rounded to nearest cm 74 cm by 53 cm Apr 41:56 PM 7
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