Sides CD DA angles ∠C ∠D.

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Presentation transcript:

sides CD DA angles ∠C ∠D

side lengths sides definition (Theorem 8.7) BC

parallel congruent ∥ ≅ bisect bisect

AD AD Theorem 8.9 theorem 8.4 ∠D

H K G 125 55 J m∠K = 125° by Theorem 8.8 Theorem 8.10

bisect ST RT RT 2x + 9 2x + 9 RT 3 9 2x 3 3 3 3 15 3 15 3

theorem 8.9 congruent (4 - 2) 2 + (4 - 2)2 8 = 2√2 (6 - 4)2 + (0 - (-2))2 8 = 2√2 8 ≅ ∥ 4 - 2 1 0 - (-2) 6 - 4 1 parallel theorem 8.9

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.