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Name Class Date Practice 6-1 Classifying Quadrilaterals Determine the most precise name for each quadrilateral. 1. y 4 2. A (3, 3) E (2, 3) 4 B (7, 3) y F (1, 3) 2 2 O D (1, 0) O 6 4 10 x C (5, 0) H (2, 2) 2 4 6 x G (1, 2) © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 4 Judging by appearance, classify each quadrilateral in as many ways as possible. 3. 4. 5. 6. 7. 8. Algebra Find the values of the variables. Then find the lengths of the sides of each quadrilateral. 9. rhombus ABDC A 10. parallelogram LONM 2x 3 18 x C 3x 10 x4 O 2m 8 N B D s 1 5m 2 L 3m 1 M 11. square FGHI F 3f 2 g6 I G 2g 5 5f 8 H Determine the most precise name for each quadrilateral with the given vertices. 12. A(1, 4), B(3, 5), C(6, 1), D(4, 0) 13. W(0, 5), X(3, 5), Y(3, 1), Z(0, 1) 14. A(-2, 4), B(2, 6), C(6, 4), D(2, -3) 15. P(-1, 0), Q(-1, 3), R(2, 4), S(2, 1) Geometry Chapter 6 Lesson 6-1 Practice 1 Name Class Date Practice 6-2 Properties of Parallelograms Find the value of x in each parallelogram. 2. 15 3. x4 x 28 3x 2 2x 4 6. 7. x = EG 4x 4 B 8. IK = 35 E x F 6x 22 H D G J L C If AE ≠ 17 and BF ≠ 18, find the measures of the sides of parallelogram BNXL. 4x 3 I 4 A K B 9. BN D 10. NX I 11. XL M 12. BL Q R V W E C F J All rights reserved. 5. AC = 24 A 4x 10 4. 10 G H K L N O S P T U X Y Find the measures of the numbered angles for each parallelogram. 13. 14. 1 1 80 17. 15. 2 140 2 50 1 19. 1 3 75 16. 2 3 3 40 47 72 22 45 1 2 2 1 50 2 3 1 3 18. 115 110 20. 113 3 1 3 82 2 30 50 4 Find the length of TI in each parallelogram. 21. T I 22. OR = 78 IO I 18 23. TR = 14, ME = 31 O T M 24. IE = 6, GT = 8 R T I R E 16 L T 40 R G E 2 Lesson 6-2 Practice E I Geometry Chapter 6 © Pearson Education, Inc., publishing as Pearson Prentice Hall. 1.