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Calculus, Series, and Differential Equations (MATH 1B)
Harvard University
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Lesson 5 Properties of Parallelograms Name Key Period Date In Exercises ABCD is a parallelogram. 1. Perimeter ABCD 82cm 2. AO 11, and BO 7. 3. Perimeter ABCD 46. D 26 cm C AC 22 , BD 14 AB 16 , BC 7 15 cm 15 D C D C A B 26 O 2x 11 A B A x 9 4. a 51 ,b 48 , 5. Perimeter ABCD 119, and 6. a b , BC 24. AB 35 D C D C D 02 b 19 b 10 70 24 A C B L H A 27 26 A B I B 7. Perimeter ABCD 12. AD 27 8. Ball B is struck at the same instant two D C forces, Fire and F2. Show the resultant force on the ball. 144 24x A 63 B 6 x x F2 B F1 9. Find each lettered angle measure. a G b his 142 D 1 I e 1426 risk A B C 10. Construct a parallelogram with diagonals AC and BD. Is your parallelogram unique? If not, construct a different (noncongruent) parallelogram. C D 36 CHAPTER 5 Discovering Geometry Practice Your Skills 02008 Kendall Hunt Publishing Lesson 5 Properties of Parallelograms Name Key Period Date In Exercises ABCD is a parallelogram. 1. Perimeter ABCD 82cm 2. AO 11, and BO 7. 3. Perimeter ABCD 46. D 26 cm C AC 22 , BD 14 AB 16 , BC 7 15 cm 15 D C D C A B 26 O 2x 11 A B A x 9 4. a 51 ,b 48 , 5. Perimeter ABCD 119, and 6. a b , BC 24. AB 35 D C D C D 02 b 19 b 10 70 24 A C B L H A 27 26 A B I B 7. Perimeter ABCD 12. AD 27 8. Ball B is struck at the same instant two D C forces, Fire and F2. Show the resultant force on the ball. 144 24x A 63 B 6 x x F2 B F1 9. Find each lettered angle measure. a G b his 142 D 1 I e 1426 risk A B C 10. Construct a parallelogram with diagonals AC and BD. Is your parallelogram unique? If not, construct a different (noncongruent) parallelogram. C D 36 CHAPTER 5 Discovering Geometry Practice Your Skills 02008 Kendall Hunt Publishing Lesson 5 Properties of Special Parallelograms Name Period Date 1. PQRS is a rectangle and 2. KLMN is a square and 3. ABCD is a rhombus, NM 8. AD 11, and DO 6. mLOKL 45 Perimeter KLMN 32 S R N 8 M D C O to O 11 P Q A B K L In Exercises match each description with all the terms that fit it. a. Trapezoid b. Isosceles triangle c. Parallelogram d. Rhombus e. Kite f. Rectangle g. Square h. All quadrilaterals 4,dH,9 Diagonals bisect each other. 5. d,e,g Diagonals are perpendicular. 6. fig Diagonals are congruent. 7. h Measures of interior angles sum to 8. Caff,99 Opposite sides are congruent. 9. C,difgopposite angles are congruent. 10. d,g Both diagonals bisect angles. 11. dig Diagonals are perpendicular bisectors of each other. In Exercises 12 and 13, graph the points and determine whether ABCD is a trapezoid, parallelogram, rectangle, or none of these. 12. B(0, C(4, 13. A(0, B( 1, 2), 4), 5 5 5 14. Construct rectangle ABCD with diagonal AC and LCAB. A C LCAB A Discovering Geometry Practice Your Skills CHAPTER 5 37 Kendall Hunt Publishing Lesson 5 Properties of Special Parallelograms Name Period Date 1. PQRS is a rectangle and 2. KLMN is a square and 3. ABCD is a rhombus, NM 8. AD 11, and DO 6. mLOKL 45 Perimeter KLMN 32 S R N 8 M D C O to O 11 P Q A B K L In Exercises match each description with all the terms that fit it. a. Trapezoid b. Isosceles triangle c. Parallelogram d. Rhombus e. Kite f. Rectangle g. Square h. All quadrilaterals 4,dH,9 Diagonals bisect each other. 5. d,e,g Diagonals are perpendicular. 6. fig Diagonals are congruent. 7. h Measures of interior angles sum to 8. Caff,99 Opposite sides are congruent. 9. C,difgopposite angles are congruent. 10. d,g Both diagonals bisect angles. 11. dig Diagonals are perpendicular bisectors of each other. In Exercises 12 and 13, graph the points and determine whether ABCD is a trapezoid, parallelogram, rectangle, or none of these. 12. B(0, C(4, 13. A(0, B( 1, 2), 4), 5 5 5 14. Construct rectangle ABCD with diagonal AC and LCAB. A C LCAB A Discovering Geometry Practice Your Skills CHAPTER 5 37 Kendall Hunt Publishing