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18. ANSWER: a = 2, b = 3 6-2 Parallelograms ALGEBRA Find the value of each variable in each parallelogram. 19. ANSWER: x = 58, y = 63.5 15. ANSWER: a = 7, b = 11 20. ANSWER: z = 2, y = 5 16. ANSWER: x = 79, y = 101 COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of with the given vertices. 21. W(–1, 7), X(8, 7), Y(6, –2), Z(–3, –2) ANSWER: (2.5, 2.5) 22. W(–4, 5), X(5, 7), Y(4, –2), Z(–5, –4) 17. ANSWER: x = 5, y =17 ANSWER: (0, 1.5) PROOF Write a two-column proof. 23. Given: WXTV and ZYVT are parallelograms. Prove: 18. ANSWER: a = 2, b = 3 eSolutions Manual - Powered by Cognero 19. ANSWER: ANSWER: Given: WXTV and ZYVT are parallelograms. Prove: Page 1 Proof: Statements (Reasons) 1. WXTV and ZYVT are parallelograms. (Given) Statements (Reasons) 1. WXTV and ZYVT are parallelograms. (Given) 2. (Opp. Sides of a .) 22. W(–4, 5), X(5, 7), Y(4, –2), Z(–5, –4) ANSWER: 6-2 Parallelograms (0, 1.5) 3. PROOF Write a two-column proof. 23. Given: WXTV and ZYVT are parallelograms. Prove: ANSWER: Given: WXTV and ZYVT are parallelograms. Prove: Proof: Statements (Reasons) 1. WXTV and ZYVT are parallelograms. (Given) 2. (Opp. Sides of a .) 3. (Trans. Prop.) 24. Given: Prove: (Trans. Prop.) 24. Given: Prove: ANSWER: Given: Prove: Proof: Statements (Reasons) 1. (Given) 2. (Opp. 3. (Isos. Thm.) 4. (Trans. Prop.) .) ANSWER: Given: Prove: Proof: Statements (Reasons) 1. (Given) 2. (Opp. 3. Manual - Powered (Isos. by Thm.) eSolutions Cognero 4. (Trans. Prop.) .) Page 2