Similar Figures Chapter Problems



Algebra / Geometry II: Unit 7- Similar FiguresSUCCESS CRITERIA:Use units of measure to to solve ratios and proportionsUse proportions to solve real world problems.INSTRUCTOR: Craig ShermanHidden Lake High SchoolWestminster Public SchoolsEMPOWER Recorded TARGETSCALE THEME MA.10.G.02.04Similarity TransformationsMA.10.G.03.04Theorems Involving SimilarityPROFICIENCY SCALE:SCOREREQUIREMENTS4.0 In addition to exhibiting Score 3.0 performance, in-depth inferences and applications that go BEYOND what was taught in class. Score 4.0 does not equate to more work but rather a higher level of performance.3.5 In addition to Score 3.0 performance, in-depth inferences and applications with partial success.3.0The learner exhibits no major errors or omissions regarding any of the information and processes (simple or complex) that were explicitly taught.o?Simplify a ratio, ANDo Solve a proportion, ANDo Use proportions to solve real world problems, ANDo Solve real word problems using similarity.2.0 Can do one or more of the following skills / concepts: There are no major errors or omissions regarding the simpler details and processes as the learner…o?Simplify a ratio, ORo Solve a proportion, ORo Use proportions to solve real world problems, ORo Solve real word problems using similarity. Know and use the vocabulary Identify the Basic ElementsWith help, a partial understanding of some of the simpler details and processRatios and ProportionsWORD or CONCEPT DEFINITION or NOTESEXAMPLE or GRAPHIC REPRESENTATIONratio????proportion????INSTRUCTION 1: KHAN: RatiosINSTRUCTION 4: SOPHIA: RatiosINSTRUCTION 2: KHAN: ProportionsINSTRUCTION 5: SOPHIA: Ratio and ProportionsINSTRUCTION 3: KHAN: Ratio ,Proportions ,UnitsClass workSimplify the ratio.1.15 in to 45 in2.27yd to 6yd3.12 days to 4 weeks4.6 years to 1 decade Solve the proportion5.6.7.8.9.The scale on the blueprint of a house is 0.04in = 1 foot. If the width of the kitchen on the blueprint is 1 inch, what is the actual width of the kitchen?10.There are 350 people at the school basketball game. The ratio of the students to adults is 6:1. How many students attended the game?HomeworkSimplify the ratio.11.40 feet to 12 feet12. 8 days to 14 days13.150 feet to 1 mile14.20 ounces to 3 poundsSolve the proportion.15. 16.17.18.19.Mike, Angela, and Victor have $160 in a ratio of 7:5:4. How much do they each have?20.You made a 3-foot model of your home, using a scale of 1:42. What is the actual height of your home?Solve Problems using SimilarityINSTRUCTION 1: YOU TUBE: Shadow ProblemsNOTES:Class workA basketball hoop in your backyard casts a shadow 109 inches long. You are 5 feet 8 inches tall and cast a shadow 62 inches long. Find the height of the basketball hoop in inches. Round your answer to the nearest whole number. You want to know the approximate height of a very tall pine tree. You place a mirror on the ground and stand where you can see the top of the tree in the mirror. How tall is the tree? The mirror is 24 feet from the base of the tree. You are 24 inches from the mirror and your eyes are 6 feet above the ground. Round your answer to the nearest tenth.To find the distance d across a lake, you locate the points as shown. Find d. Round your answer to the nearest tenth. HomeworkA yardstick casts a shadow 1 ft long. A nearby tree casts a 16 ft shadow. How tall is the tree? Round your answer to the nearest tenth. You want to know the approximate height of a tall oak tree. You place a mirror on the ground and stand where you can see the top of the tree in the mirror. How tall is the tree? The mirror is 24 feet from the base of the tree. You are 36 inches from the mirror and your eyes are 5 feet above the ground. Round your answer to the nearest tenth.To find the distance d across a lake, you locate the points as shown. Find d. Round your answer to the nearest tenth. Similar Figures Unit ReviewMultiple Choice – Choose the correct answer for each question. No partial credit will be given.1.Simplify the ratio 15 inches to 3 inches.a. 15 to 9b.1:5c.5/3d.5/126332291600202.Solve the proportion. a.30b.54c.24d.273.Solve the proportion.a.x = 5b.x = -5c.x = 1d.x = 0.5Short Constructed Response - Write the answer for each question. No partial credit will be given.6116955266704. The scale on a map of the US, 1 inch = 250 miles. New York is 12 inches from California. What is the actual distance between the cities.right179865. Your school casts a shadow 30 feet long. At the same time a person 6 feet casts a shadow 4 feet long. Sketch and label a diagram. Find the height of your school. Round your answer to the nearest tenth. ................
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