Transforming to a New Level!

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1 Lesson 1.1 Skills Practice Name Date Transforming to a New Level! Using Transformations to Determine Perimeter and Area Problem Set Translate each given rectangle or square such that one verte of the image is located at the origin and label the vertices of the image. Calculate the perimeter and area of the image. 1. Rectangle ABCD A9B9 5 7, B9C9 5 3, C9D9 5 7, A9D9 5 3 A9 D9 0 A D B C B9 C9 Perimeter of A9B9C9D9 5 A9B9 1 B9C9 1 C9D9 1 A9D The perimeter of A9B9C9D9 is 0 units. Area of A9B9C9D9 5 bh 5 7(3) 5 1 The area of A9B9C9D9 is 1 square units.. Square EFGH 01 Carnegie Learning 0 E F H G 1 Chapter 1 Skills Practice 705

2 Lesson 1.1 Skills Practice page 3. Rectangle JKLM J 1. K 0. M 0. L Square PQRS P Q S R 01 Carnegie Learning 1 70 Chapter 1 Skills Practice

3 Lesson 1.1 Skills Practice page 3 Name Date 5. Rectangle WXYZ X Y W Z 0. Square AFTZ F 01 Carnegie Learning 0 A T Z 1 Chapter 1 Skills Practice 707

4 Lesson 1.1 Skills Practice page 7. Rectangle BHQY 1 H B 1 0 Q 1 Y 1 1. Square DMTW D 00 M W T 01 Carnegie Learning 1 70 Chapter 1 Skills Practice

5 Lesson 1. Skills Practice Name Date Looking at Something Familiar in a New Wa Area and Perimeter of Triangles on the Coordinate Plane Problem Set Determine the perimeter of each given triangle on the coordinate plane. Round our answer to the nearest hundredth, if necessar. 1. Triangle ABC B B9 A C A9 C9 0 A9C9 5, B9C9 5 7 A9B9 5 ( 1 ) 1 ( 1 ) 5 ( 0 ) 1 (7 0 ) 5 ( ) 1 (7 ) Perimeter 5 A9B9 1 B9C9 1 A9C The perimeter is approimatel 1. units.. Triangle DEF 01 Carnegie Learning E 0 D F 1 Chapter 1 Skills Practice 709

6 Lesson 1. Skills Practice page 3. Triangle GHJ G 0 H J. Triangle RST 3 S R 1 T Carnegie Learning Chapter 1 Skills Practice

7 Lesson 1. Skills Practice page 3 Name Date 5. Triangle JKL L J 1 1 K 1. Triangle TUV T 1 01 Carnegie Learning V 1 1 U 1 Chapter 1 Skills Practice 711

8 Lesson 1. Skills Practice page Determine the area of each given triangle on the coordinate plane. Round our answer to the nearest hundredth, if necessar. 7. Triangle WXY W9 Y9 0 W X9 W9Y9 5 5, X9Y9 5 7 Area 5 1 bh 5 1 (7)(5) The area is 17.5 square units. Y X. Triangle ACE 1 C A 1 E Carnegie Learning 1 71 Chapter 1 Skills Practice

9 Lesson 1. Skills Practice page 5 Name Date 9. Triangle DEF D 1 F E Triangle JKL J 0 L K 01 Carnegie Learning 1 Chapter 1 Skills Practice 713

10 Lesson 1. Skills Practice page 11. Triangle KMN M N K 0 01 Carnegie Learning 1 71 Chapter 1 Skills Practice

11 Lesson 1. Skills Practice page 7 Name Date 1. Triangle ATV 0 T V A 01 Carnegie Learning 1 Chapter 1 Skills Practice 715

12 Lesson 1. Skills Practice page Double the area of each triangle as directed. Label the image then calculate the area of the pre-image and the area of the image to verif our solution. 13. Double the area of triangle DMP b manipulating the height. Label the image DM9P. 0 D A M9 M P AM 5 5, DP 5 1 Area of triangle DMP: Area 5 1 bh 5 1 (1)(5) 5 35 The area of triangle DMP is 35 square units. AM Area of triangle DM9P: Area 5 1 bh 5 1 (1)(10) 5 70 The area of triangle DM9P is double the area of triangle DMP. The area of triangle DM9P is 70 square units. 1. Double the area of triangle HNW b manipulating the height. Label the image HN9W. 0 H N W 01 Carnegie Learning 1 71 Chapter 1 Skills Practice

13 Lesson 1. Skills Practice page 9 Name Date 15. Double the area of triangle MLP manipulating the height. Label the image MLP9. M 1 L P Double the area of triangle MFD b manipulating the base. Label the image M9FD Carnegie Learning F M D 1 Chapter 1 Skills Practice 717

14 Lesson 1. Skills Practice page Double the area of triangle ART b manipulating the base. Label the image AR9T. A T R 0 1. Double the area of triangle QTZ b manipulating the base. Label the image Q9TZ. T Q Z 0 01 Carnegie Learning 1 71 Chapter 1 Skills Practice

15 Lesson 1.3 Skills Practice Name Date One Figure, Man Names Area and Perimeter of Parallelograms on the Coordinate Plane Problem Set Determine the perimeter of each given parallelogram on the coordinate plane. Round our answer to the nearest hundredth, if necessar. 1. Parallelogram ABCD B9 C9 A9 D9 0 B A D C A9D9 5 B9C9 5 3 A9B9 5 ( 1 ) 1 ( 1 ) 5 (3 0 ) 1 ( 0 ) 5 (3 ) 1 ( ) C9D9 5 A9B9 5 5 Perimeter 5 A9B9 1 B9C9 1 C9D9 1 A9D The perimeter is 1 units.. Parallelogram EFGH 01 Carnegie Learning E F H G 0 1 Chapter 1 Skills Practice 719

16 Lesson 1.3 Skills Practice page 3. Parallelogram RSTU R S 1 1 T U 1 1. Parallelogram WXYZ 0 X W Y Z 01 Carnegie Learning 1 70 Chapter 1 Skills Practice

17 Lesson 1.3 Skills Practice page 3 Name Date 5. Parallelogram JKLM L 0. K J 1. M. Parallelogram NPQR N 3 P 1 Q 01 Carnegie Learning 3 1 R Chapter 1 Skills Practice 71

18 Lesson 1.3 Skills Practice page Determine the area of each given parallelogram on the coordinate plane. Round our answer to the nearest hundredth, if necessar. 7. Parallelogram STVZ T9 S9 0A V9 Z9 AT9 5 5, S9Z9 5 7 Area 5 bh 5 (7)(5) 5 35 The area is 35 square units. T V S Z. Parallelogram AFMT A F T 1. M 01 Carnegie Learning 1 7 Chapter 1 Skills Practice

19 Lesson 1.3 Skills Practice page 5 Name Date 9. Parallelogram NEST N E 1 1 S T Parallelogram LYON L Y O N 0 01 Carnegie Learning 1 Chapter 1 Skills Practice 73

20 Lesson 1.3 Skills Practice page 11. Parallelogram BGNP G N B P 0 01 Carnegie Learning 1 7 Chapter 1 Skills Practice

21 Lesson 1.3 Skills Practice page 7 Name Date 1. Parallelogram DJQW J 3 Q 3 D W 01 Carnegie Learning 1 Chapter 1 Skills Practice 75

22 Lesson 1.3 Skills Practice page Double the area of each parallelogram as directed. Label the image, and then calculate the area of the pre-image and the image to verif our solution. 13. Double the area of parallelogram GNRT b manipulating the base. Label the image GN9R9T. AG 5, RT 5 5 G N N9 Area of parallelogram GNRT: Area 5 bh 5 (5)() R9 5 0 T A R The area is 0 square units. 0 R9T 5 10 Area of parallelogram GN9R9T: Area 5 bh 5 (10)() 5 0 The area is 0 square units. The area of parallelogram GN9R9T is double the area of parallelogram GNRT. 1. Double the area of parallelogram AHSW b manipulating the base. Label the image A9H9SW. 0 A H W S 01 Carnegie Learning 1 7 Chapter 1 Skills Practice

23 Lesson 1.3 Skills Practice page 9 Name Date 15. Double the area of parallelogram BASK b manipulating the base. Label the image BA9S9K. 1 B 1 A 11 K S Double the area of parallelogram DOGZ b manipulating the height. Label the image DOG9Z9. 01 Carnegie Learning Z D G O 0 1 Chapter 1 Skills Practice 77

24 Lesson 1.3 Skills Practice page Double the area of parallelogram CFTV b manipulating the height. Label the image C9FTV9. F T C 0 V 1. Double the area of parallelogram JMTW b manipulating the height. Label the image JMT9W9. J M W 0 T 01 Carnegie Learning 1 7 Chapter 1 Skills Practice

25 Lesson 1. Skills Practice Name Date Let s Go Halfsies! Determining the Perimeter and Area of Trapezoids and Composite Figures Vocabular Define each term in our own words. 1. bases of a trapezoid. legs of a trapezoid 3. regular polgon. composite figures 01 Carnegie Learning 1 Chapter 1 Skills Practice 79

26 Lesson 1. Skills Practice page Problem Set Determine the perimeter of each given figure on the coordinate plane. Round our answer to the nearest hundredth, if necessar. 1. Trapezoid ABCD A B A9 D C D9 0. Trapezoid EFGH A9B9 5 3, A9D9 5 5, C9D9 5 B9C9 5 ( 1 ) 1 ( 1 ) 5 ( 3 ) 1 (0 5 ) B9 C9 5 (3 ) 1 (5 ) Perimeter 5 A9B9 1 B9C9 1 C9D9 1 A9D The perimeter is approimatel 19.3 units. 0 F G E H 01 Carnegie Learning Chapter 1 Skills Practice

27 Lesson 1. Skills Practice page 3 Name Date 3. Figure PQRST P Q R T S 0 01 Carnegie Learning 1 Chapter 1 Skills Practice 731

28 Lesson 1. Skills Practice page. Figure ABCDEF C A B 0 F E D 01 Carnegie Learning 1 73 Chapter 1 Skills Practice

29 Lesson 1. Skills Practice page 5 Name Date 5. Regular heagon ABCDEF with coordinates A(5 3, 15), B(0, 0), C(5 3, 15), D(5 3, 5), E(0, 0), and F(5 3, 5) 0 B A C 10 F 0 10 E 0 D Regular octagon JKLMNPQR with coordinates J(, ), K(, 1 ), L(, 1 ), M( 1, ), N( 1, ), P(, ), Q(, ), and R(, ) K 1 1 L J M R 1 1 N 01 Carnegie Learning 1 Q 1 P 1 Chapter 1 Skills Practice 733

30 Lesson 1. Skills Practice page Determine the area of each given figure in the coordinate plane. Round our answer to the nearest hundredth, if necessar. 7. Trapezoid WXYZ X9 Y9 W9 Z9 0 A X Y AX9 5, W9Z9 5, X9Y9 5 1 Area 5 1 (b 1 b )h 1 5 ( 1 )() 1 5 (10)() 5 0 The area is 0 square units. W Z. Trapezoid ACES A C S E 0 01 Carnegie Learning 1 73 Chapter 1 Skills Practice

31 Lesson 1. Skills Practice page 7 Name Date 9. Trapezoid BEST E S B 0 T 10. Figure ABCDEFGH 0 B C A H E D 01 Carnegie Learning G F 1 Chapter 1 Skills Practice 735

32 Lesson 1. Skills Practice page 11. Figure JKLMNOPQ 0 Q J P N O K M L 01 Carnegie Learning 1 73 Chapter 1 Skills Practice

33 Lesson 1. Skills Practice page 9 Name Date 1. Figure MNPQRST M N T P S R 0 Q 01 Carnegie Learning 1 Chapter 1 Skills Practice 737

34 01 Carnegie Learning 1 73 Chapter 1 Skills Practice

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