m7_unit_13_-_similarity.pdf

© 2018 The Algebros, LLC Write your questions here! 13.1 Similar Figures Similar - CORRESPONDING ANGLES CORRESPONDING SIDES ∠𝐿𝐿 corresponds to _____ 𝑀𝑀𝑀𝑀 �� corresponds to _____ ∠ 𝑂𝑂 corresponds to _____ 𝑀𝑀𝐴𝐴 �� corresponds to _____ ∠ 𝑉𝑉 corresponds to _____ 𝐴𝐴𝑇𝑇 �� corresponds to _____ ∠ 𝐸𝐸 corresponds to _____ 𝑇𝑇𝑀𝑀 �� corresponds to _____ NOTES

© 2018 The Algebros, LLC SUMMARY: 13.1 Similar Figures The following figures are similar. Fill in the blanks. 1. 𝑀𝑀𝐴𝐴𝐴𝐴𝐴𝐴 ~ _______ a. ∠𝐿𝐿 corresponds to _____ b. 𝐴𝐴𝐴𝐴 �� corresponds to _____ c. ∠𝐴𝐴 corresponds to _____ d. 𝑁𝑁𝑀𝑀 �� corresponds to _____ 2. 𝑀𝑀𝑁𝑁𝐴𝐴 ~ _____ a. ∠𝑁𝑁 corresponds to _____ b. 𝑁𝑁𝑀𝑀 �� corresponds to _____ c. ∠𝑌𝑌 corresponds to _____ d. 𝐹𝐹𝑌𝑌 �� corresponds to _____ PRACTICE Now, summarize your notes here!

© 2018 The Algebros, LLC The following figures are similar. State the scale factor, set up a proportion, and find the missing side. 3. Scale Factor = 4. Scale Factor = 5. Scale Factor = 6. Scale Factor = 7. Scale Factor = 8. Scale Factor =

© 2018 The Algebros, LLC 13.1 Similar Figures Use the similar figures shown below to answer 1-4. 1. ∠𝐴𝐴 corresponds to _____ 2. 𝐴𝐴𝐷𝐷 �� corresponds to _____ 3. What is the scale factor? 4. Find the length of 𝐴𝐴𝐴𝐴 . 𝑪𝑪𝑪𝑪𝑪𝑪 ~ 𝑫𝑫𝑫𝑫𝑫𝑫 5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall is the man? Justify your solution. EXIT TICKET – WRAP UP The scale factor of the similar figures below is 5:2. Given 𝐴𝐴𝐸𝐸 = 10 feet , find the length of 𝑀𝑀𝐴𝐴 . 𝐾𝐾𝐾𝐾𝐴𝐴𝐸𝐸 ~ 𝑄𝑄𝑄𝑄𝑀𝑀𝐴𝐴

© 2018 The Algebros, LLC Write your questions here! 13.2 Scale Drawings Original Triangle Scale Factor = 2 Scale Factor = 1 3 Scale Factor = 7 4 MODELS Below is a replica of 1/18 scale 1958 Chevrolet Corvette diecast model. Diecast model car 1:18. If the real convertible is 63 inches wide, how wide is the model? MAPS If it is 2.5 cm on the map from Beijing to Shanghai, how far is that in real life? NOTES

© 2018 The Algebros, LLC DRAWINGS 1 unit = 5 feet What are the dimensions of the real living room? Add a room off the living room that is 15’ by 18.5’. SUMMARY: 13.2 Scale Drawings Label the sides of the similar figures with the given scale factor. 1. Original Triangle Scale Factor = 3 4 Scale Factor = 3 2 2. Original Triangle Scale Factor = 5 2 Scale Factor = 1 4 PRACTICE Now, summarize your notes here!

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