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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:
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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.)
.)
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