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sides CD DA angles ∠C ∠D
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side lengths sides definition (Theorem 8.7) BC
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parallel congruent ∥ ≅ bisect bisect
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AD AD Theorem 8.9 theorem 8.4 ∠D
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H K G 125 55 J m∠K = 125° by Theorem 8.8 Theorem 8.10
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bisect ST RT RT 2x x + 9 RT x 3
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theorem 8.9 congruent (4 - 2) 2 + (4 - 2) = 2√2 (6 - 4)2 + (0 - (-2)) = 2√2 ≅ ∥ 4 - 2 1 0 - (-2) 6 - 4 1 parallel theorem 8.9
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2x = 4x - 7 -2x = -7 x = 3.5 Another way to show quadrilateral KLMN is a parallelogram would be to add the diagonals to the figures and show that they bisect each other.
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