7BOBO,<dHHHHHH,; H,;,<=  ,< -Z`<@xHH(FG(HH(d'@, l"`/F@t,;P,;L ;,;,  ta(,;d(,9F,7 ,;!(}DSETj """"D <,;x,;,;|y,:%!y,9)> xy,;  y,: ny,:y,:,hy,;,-vny,:(0y,9&y,:,p"Dy,: }~R)PQRST !$PR #$%&PQR      w x y  ! " # $ > ? @ A k l m 5 6 7 8 9 8 9     F G H mnor !"#$ 4567^_`tuvJKLMN!]^_~23456UVWXYZ[\]^_`abcdefghijklmnoptuSTUopqrfghij@A89OPjklmabcdeJKLMhijklm z { | } ~ !!!z!{!!!!">"?"@"A"B"C"D        w  $     m     U  P   _ `     Z,;t,;p,;l V,:,:,;,:,:t,:Unit 7 Study Activities 1. Use the information about the different figures youve just seen to answer the questions below: 1. One side of a rectangle is 3 feet long. Another side is 5 feet long. How long is each of the other two sides? 2. One side of a square is 6 meters long. How long is each of the other three sides. 3. Curt a piece of paper into the shape of a triangle. Then cut the triangle in to two parts by cutting through the triangle parallel to any side of the triangle. You now have two shapes. What are they? 4. The distance from the center of a circle to the edge of the circle is 2 feet. What is the greatest distance across the circle? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct): 2. 1. Complete the sentence with the correct word or words: When you measure the perimeter of a figure, you measure the sum of the _______________ that form the outside of the figure. (angles, lines segments, numbers) 2. What is the perimeter of a rectangle that measures 4 meters by 7 meters? 3. What is the perimeter of a square that measures 5 feet on each side? Can you see a way to use multiplication to shorten the calculation? If so, what way? 4. The work triangle of a kitchen is the triangle formed by the location of the sink, range, and refrigerator, To make working in the kitchen easier, the perimeter of the work triangle should not exceed 22 feet. In one kitchen, the distance from the sink to the range is 5.5 feet. the distance from the range to the refrigerator is 6.5 feet , and the distance from the range to the refrigerator is 8 feet. What is the perimeter of the work triangle in this kitchen? Does the perimeter fit the guideline? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  3. Find the area of each of the following figures by counting the number of square units. Estimate the parts that do not make up the whole. Place figure here. What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct): 4. 1. VWhat is the area of a dollar bill that measures about 2 1/2 inches by 6 inches? 2 What is the unit of measure for your answer to the first question? 3. The label on a 1 gallon can of paint indicates that you can cover, at most, 400 square feet of surface. Is that enough paint to cover a rectangular wall that measures 25 feet by 8 feet? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  5. 1. The sides of a square are 3 feet long. What is the area of the square? 2. A square rug is 12 feet long on each side. The owner wants the rug treated with a stain guard. The treatment costs $0.23 per square foot. How much does it cost to treat the rug? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct): 6. 1. What is the area of triangle ABC? Place figure here 2. What is the area of triangle DEF? Place figure here 3. A gardener wants to spread grass seed over a triangular section of ground. She paces off the distance and finds that on e side of the triangle measures approximately 60 feet. She finds that the height to that side measures approximately 20 feet. How many square feet of ground space are there? What are you looking for? What do you need to answer the questions?  Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  7. 1. What is the area of the shape ABCD on the fence below? Place figure on page 20 here 2. What is the area of the shape EFGH on the house top below? Place figure on page 21 here 3. What is the area of the shape JKL on the end (gable) of the house below? Place figure on page 21 here 8. 1. A worker need to line a hole in sheet metal with gasket material. What is the circumference of the hole whose radius is 5 inches? First give your answer in terms of pi and then use 3.14 as a decimal approximation for pi to get a decimal answer. Round your answer to hundredths. 2. A tire on a large piece of construction equipment has an outside diameter of six feet. What is the circumference of the tire? First give your answer in terms of pi and then use 3.14 as a decimal approximation for pi to get a decimal answer. Round your answer to tenths. 3. A pipe whose outer diameter measures 5.75 inches is to be wrapped with a rectangular piece of insulation. How long do you need to cut the insulation? What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  9. For the following problems, first give an exact answer in terms of pi. Then calculate an approximation as indicated. 1. What is the area of a circle whose radius is 5 meters long? Round the approximate answer to the nearest hundredth. 2. What is the area of a circle whose diameter is 16 centimeters? Round the approximate answer to the nearest tenth. 3. An irrigation arm is attached to a water pipe at one point. The arm swings around the water pipe in a circle, sprinkling water on a field. If the arm is 20 yards long, how many square yards of land are irrigated? Round the approximate answer to the nearest yard. What are you looking for? What do you need to answer the questions? Estimate what your answer(s) might be ( think of both numbers and terms to be used)? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units are correct):  10. Now test your understanding of similar triangles by completing the following activity. Draw a 30-60-90 right triangle with the sides BC (opposite the 30o angle) having the length equal to 2 inches. (In a 30-60-90 right triangle, the long side - AC- called the hypotenuse, is always twice the length of the side opposite the 30o angle).. Your completed drawing should look like this: Place figure pg. 30 here Now, from a point D halfway up the side of line segment BC, draw a line segment DE parallel to AB. Your completed figure should look like the following drawing. Note that there are now two triangles - the large triangle ABD and the smaller triangle, EDC inside ABC. Place figure pg 31 here Based on your drawing, answer the following questions: 1. What are the pairs of corresponding angles in triangles ABC abd EDC? 2. Use your protractor to measure and compare the values of the corresponding angles. 3. Are the two triangles ABC and EDC similar? 4. Identify the corresponding sides of the two triangles. 5. Are the corresponding sides in triangles ABC and EDC proportional in length? DSET|(H,;hN7 )6*N7DSET(H,;d776* 7DSETR ,;X,;`,;\,;   ,;TUnit 7 Study Activities