Transforming to a New Level!
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1 Lesson.1 Assignment Name Date Transforming to a New Level! Using Transformations to Determine Area 1. Franco translates rectangle JKLM so that it has one verte on the origin. The result is rectangle J9K9L9M9. He claims that he doesn t have to use the Distance Formula to help him calculate the perimeter and the area of this translated rectangle. M L 8 6 J 4 M9 L J9 0 4 K K a. Is Franco correct? Wh or wh not? b. Maeko claims that ou don t have to use the Distance Formula or translate the rectangle in order to calculate the perimeter and the area of the original rectangle. Is she correct? Wh or wh not? c. Give an eample of a case in which translating a rectangle would be etremel helpful in simplifing the calculations for determining the perimeter and area of the rectangle. Chapter Assignments 47
2 Lesson.1 Assignment page. Olivia translates rectangle WXYZ verticall up 1 unit and horizontall to the right 4 units to produce the image W9X9Y9Z9. Thom translates the rectangle verticall up 6 units and horizontall to the right 5 units to produce the image W0X0Y0Z Z0 4 W0 Y0 8 6 Z X0 Z W9 Y Y9 W X9 X 8 a. Would ou prefer to use Olivia s translation or Thom s translation to determine the perimeter and the area of the rectangle? Eplain our reasoning. b. Calculate the perimeter and the area of the rectangle. Show our work. 48 Chapter Assignments
3 Lesson.1 Assignment page Name Date. Consider a right triangle with side lengths 10, 4 and 6 inches. a. Describe how increasing the side lengths b a factor of will affect the perimeter of the triangle. b. Describe how increasing the side lengths b a factor of will affect the area of the triangle. c. Describe how decreasing the side lengths b a factor of 1 will affect the area of the triangle. Chapter Assignments 49
4 50 Chapter Assignments
5 Lesson. Assignment Name Date Looking at Something Familiar in a New Wa Area and Perimeter of Triangles on the Coordinate Plane 1. Cisco claims that GH is the height of triangle EFG, and Beth claims that GJ is the height of triangle EFG. G E 4 J H 6 F a. Who is correct? Support our answer with mathematics. Chapter Assignments 51
6 Lesson. Assignment page b. Calculate the area of triangle EFG. Show our work.. A few ears ago, Leon planted a small triangular garden in his backard. Recentl, he has been thinking that the garden is too small. Now, he wants to double the area of the garden. His original garden is shown on the coordinate plane. Each unit represents one square foot. 4 O 1 P D Chapter Assignments
7 Lesson. Assignment page Name Date a. Describe two was Leon could double the area of his garden. b. Because of the location of Leon s neighbors, he cannot etend the garden an farther horizontall. Use this information to manipulate the pre-image POD representing Leon s garden to double the area. Label the image as PO9D. c. Determine the area of the original garden and the new garden to verif that the area has doubled. Chapter Assignments 5
8 54 Chapter Assignments
9 Lesson. Assignment Name Date Grasshoppers Everwhere! Area and Perimeter of Parallelograms on the Coordinate Plane 1. Joel knows that the formulas to determine the areas of rectangles and non-rectangular parallelograms are the same. He multiplies the lengths of WX and WZ to determine the area of parallelogram WXYZ. Z Y W X a. Has Joel correctl determined the area of the parallelogram? Eplain our reasoning. b. Calculate the area of parallelogram WXYZ. Show our work. Chapter Assignments 55
10 Lesson. Assignment page. Parallelograms JKLM and JKPR are given. Without calculating the areas, determine whether or not the area of parallelogram JKPR is twice that of the area of parallelogram JKLM. Eplain how ou determined our answer. 8 6 M 4 J K R L P 56 Chapter Assignments
11 Lesson.4 Assignment Name Date Leavin on a Jet Plane Area and Perimeter of Trapezoids on the Coordinate Plane 1. Trapezoid QRST is given. 8 T 6 4 Q R S a. Determine the perimeter of trapezoid QRST. Show our work. Round our answer to the nearest hundredth. Chapter Assignments 57
12 Lesson.4 Assignment page b. Determine the area of trapezoid QRST. Show our work and eplain how ou determined our answer. 58 Chapter Assignments
13 Lesson.5 Assignment Name Date Composite Figures on the Coordinate Plane Area and Perimeter of Composite Figures on the Coordinate Plane 1. Composite figure ABCDEFG is given. A B G F E C D a. Determine the perimeter of figure ABCDEFG. Chapter Assignments 59
14 Lesson.5 Assignment page b. Determine the area of figure ABCDEFG. 60 Chapter Assignments
Transforming to a New Level!
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