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| For the first four problems, complete the statement by filling in the blanks. |
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| For the next four problems, solve the proportions. |
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| 15) In a sampling taken at the local factory, three (3) out of every 100 CD players were defective. Based on the sample, approximately how many CD players may be defective in a shipment of 1920 CD players? Write a proportion that could be used to solve the problem, and then state the answer. |
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| The chart below provided conversion rates for currency throughout the world for the given date and time displayed. The chart is based on unit rates. To read the chart, find the currency that you may have in hand and the currency for which you want to exchange. For example, to exchange 200 Swiss Francs to Euro Dollars, look across the “1 Swiss Franc” row and stop in the “Euro” column, and then multiply 200 x 0.6603 to get 132.06 Euro Dollars. Use the chart to answer the next four problems. Note: All questions refer to the currency exchange rates on the date, November 22, 2004 at 7:29 am unless otherwise specified. |
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| Activity: Browse to the Internet site “http://finance.yahoo.com/currency” and find the current conversion rates of the US dollar to the Euro Dollar. If this site is unavailable, you may search to find a different “currency converter” website. |
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| 19) Answer the following questions about the previous activity: (a) State the current conversion rate of the US Dollar to the Euro Dollar. (b) One hundred US dollars ($100) equals how many Euro Dollars? (c) On November 22, 2004, at 7:29 am, one hundred US dollars ($100) equaled how many Euro Dollars? (d) Comparing the US Dollar to the Euro Dollar, how has the value of the US Dollar changed? |
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| For the next three problems, complete the statement by filling in the blanks. |
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Refer to the similar quadrilaterals shown below to solve the next two problems. |
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| In some of the following problems, you will express your answers in “radicals”. The next four problems are a review of simplifying radicals. |
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| 30) Examine the triangles shown below. (a) Are the corresponding angles of the triangles congruent? Support your answer with an explanation. (b) Are the corresponding sides proportional? Support your answer with an explanation. (c) Are the triangles similar? |
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| 34) Refer to the scenario below to answer the following questions: (a) Why are triangles RST and VUT similar? (b) What is the height of the tree? |
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| 35) Write a paragraph proof to prove that triangles VWT and VUW are similar based on the information and figure shown below. |
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| 36) Write a paragraph proof to prove that AC:RT as AB: RS based on the information and figure shown below. |
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| 40) Explain through the SAS Similarity Theorem how triangles FED and HEG are similar. |
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| 41) Refer to Theorem 16-C and select the statement below that best describes similar triangles. Make sure to read all of the statements. |
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| Applications of Similar Figures |
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| Consider this scenario and then answer the next three questions: A land owner wants a good approximation of the width of his stream from point D to point C. At high point B, he lays a carpenter’s square (used to make right angles) so that he can sight along BC and BA. AD = 9.3 ft and BD = 15.7 ft. |
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| 44) Answer the following questions about the previous scenario: (a) Write an algebraic expression to represent the length from A to C. (b) Write a proportion to find the distance across the stream. (c) What is the length across the stream? |
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| Refer to the figure below to answer the next two questions. |
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| 47) Look for a pattern in the figure. To fit the pattern, where would the next rectangle be drawn? Give a specific description of its location and its appearance. |
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| Extended Research: Check with your instructor to see if he/she is interested in awarding extra credit to you for writing a one-page report on the following research topic: The Divine Proportion, also called the Golden Section or Golden Ratio. You may include pictures that you find. Be sure to report all websites or other resources that you referenced to compile your report. |
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| 48) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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