Practice Quiz 5, Unit 2 Quadrilaterals Name ______________________________________ Identify the properties that are always true for the given quadrilateral by placing an X in the appropriate box for those properties that are always true. Property Both pairs of opposite sides are parallel Exactly one pair of opposite sides are parallel. Both pairs of opposite sides are congruent All sides are congruent Exactly one pair of opposite angles are congruent All angles are right angles Both pairs of opposite angles is congruent Diagonals bisect both pairs of opposite angles Diagonals bisect one pair of opposite angles Diagonals bisect each other Diagonals are congruent Diagonals are perpendicular Consecutive angles supplementary Parallelogram Square Rhombus Rectangle Kite Isosceles Trapezoid 1. Find each measure using the figure on the right. a. mโ ๐พ = _________ b. mโ ๐ = _________ c. mโ ๐ = _________ d. KR = __________ e. KN = __________ K R 13 112๏ฐ N 27 T 2. In the figure BD = 74 and AE = 29. Find each measure. a. ED = _________ b. EC = _________ c. AD = _________ d. BE = _________ e. AC = _________ f. BA = _________ B A 33 E C 52 D 3, PQRS is a square. Find each measure. a. TQ = _________ b. TR = _________ c. RP = _________ d. QS = _________ e. SR = _________ P Q T 12 9 S R 4. ABCD is a rectangle. Find each measure. a. BD = _________ b. CD = _________ c. AC = _________ d. AE = _________ B 12 5 E C 6.5 A D 5. KLMN is a rhombus. Find each measure. a. x = ___________ b. y = ___________ c. KL = ___________ d. mโ ๐๐๐พ = _________ e. mโ ๐ฝ๐๐พ = _________ f. mโ ๐ฟ๐พ๐ = _________ 3x + 4 M L J x + 20 (9y)๏ฐ (2y + 5)๏ฐ K N 6. ABCD is a parallelogram. AE = 3x + 4, EC = 2x + 8, BE = 4y + 1 and BD = 18. Find the following a. x = ___________ b. y = ___________ c. EC = __________ d. AC = __________ e. ED = __________ 7. JKLM is a trapezoid and ฬ ฬ ฬ ฬ ๐ฝ๐ โฅ ฬ ฬ ฬ ฬ ๐พ๐ฟ. RS is the midsegment. Find each measure. a. mโ ๐ฟ = _________ b. mโ ๐ฝ = _________ c. x = ____________ d. JM = ___________ e. KL = ___________ 1 J 2 x+1 M 132๏ฐ R 21 S 78๏ฐ K x-4 L 8. B ABCD is a kite. Find each measurement a. mโ ๐ด๐ธ๐ต = _________ b. mโ ๐ต๐ด๐ท = _________ c. mโ ๐ด๐ต๐ธ = _________ d. mโ ๐ธ๐ท๐ถ = _________ e. AC = ________ C E 2 A 4 m๏ADC = 60๏ฐ m๏ABC = 84๏ฐ D
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