60 54 36 18 A B C D 44. is a parallelogram with diagonals intersecting at If = 3x + 12 and = 27, find the value of ABCD E. AE EC x. F 5 G 17 H 27 J 47 45. Find the values of and so that this quadrilateral is a parallelogram. x y = 13, = 24 = 13, = 6 A B x y x y C = 7, = 24 D = 7, = 6 x y x y 46. Find the value of so that this quadrilateral is a parallelogram. x F 12 G 24 H 36 J 132 Parallelogram has vertices 2), and Find the coordinates of 47. ABCD A(8, B(6, C(–5, D. –4), –4). A 2) B 2) C 2) D 8) D(–5, D(–3, D(–2, D(–4, 48. is a rectangle. If = 5x + 2 and = + 22, find the value of ABCD AC BD x x. F 5 G 6 H 11 J 26 49. Which of the following is true for all rectangles? A The diagonals are perpendicular. B The diagonals bisect the angles. C The consecutive sides are congruent. The consecutive sides are perpendicular D 50. is a rectangle with 6), 2), and 2). Find the coordinates of ABCD B(–4, C(–4, D(10, A. F 4) G 4) H 6) J 6) A(6, A(10, A(2, A(10, 51. For rhombus find GHJK, m∠1. A 22 B 44 C 68 D 90 52. The diagonals of square intersect at If = 2x + 6 and = 6x 10, find ABCD E. AE BD AC. –
A 60 B 54 C 36 D 18 44. ABCD is a parallelogram with diagonals intersecting at E. If AE = 3x + 12 and EC = 27, find the value of x. F 5 G 17 H 27 J 47 45. Find the values of x and y so that this quadrilateral is a parallelogram. A x = 13, y = 24 B x = 13, y = 6 C x = 7, y = 24 D x = 7, y = 6 46. Find the value of x so that this quadrilateral is a parallelogram. F 12 G 24 H 36 J 132 47. Parallelogram ABCD has vertices A(8, 2), B(6, –4), and C(–5, –4). Find the coordinates of D. A D(–5, 2) B D(–3, 2) C D(–2, 2) D D(–4, 8) 48. ABCD is a rectangle. If AC = 5x + 2 and BD = x + 22, find the value of x. F 5 G 6 H 11 J 26 49. Which of the following is true for all rectangles? A The diagonals are perpendicular. B The diagonals bisect the angles. C The consecutive sides are congruent. D The consecutive sides are perpendicular 50. ABCD is a rectangle with B(–4, 6), C(–4, 2), and D(10, 2). Find the coordinates of A. F A(6, 4) G A(10, 4) H A(2, 6) J A(10, 6) 51. For rhombus GHJK, find m∠1. A 22 B 44 C 68 D 90 52. The diagonals of square ABCD intersect at E. If AE = 2x + 6 and BD = 6x – 10, find AC.
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