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Analytic Geometry Name: ________________________ Test Review - Quadrilaterals Date: _____________ Period: _____ Put check marks in the ALL the boxes that are appropriate. Property 1) Opposite sides are parallel 2) Opposite sides are congruent 3) Opposite angles are congruent 4) Consecutive angles are supplementary 5) Diagonals bisect each other 6) Diagonals are congruent 7) Diagonals are perpendicular 8) A diagonal bisects two angles 9) All angles are right angles 10) All sides are congruent Parallelogram Rectangle Use parallelogram MASK to answer questions 11 – 14. 11) If MK = 5x – 10 and SA = 7x – 18, then x = ________ 12) Then, the measure of MK = _________ 13) If mKMA = 3y + 27 and mMKS = 6y – 45, then y = _______ 14) Then, mKMA = _______ Use rectangle WXYZ to answer questions 15 – 19. 15) If WY = 37, then ZX = ___________ 16) If ZX = 52, then WT = ___________ 17) If mTWZ = 65°, then mTZW = __________ 18) and mWTZ = _________ 19) If WY = 4a + 18 and TW = 3a – 4, then a = _________ Use rhombus ELFS for questions 20 – 25. 20) mEYF = ________ 21) If EF = 37, then EL = ________ 22) If LF = 48, then LY = ________ 23) If mESF = 54°, then mSEF = _______ 24) If mELS = 5x – 1 and mFLS = 2x + 8, then x = _______ 25) If mLEF = 2y + 24 and mELS = 3y – 14, they y = _______ Rhombus Square Use square COAL for problems 26 – 28. 26) If LC = 13, then LA = ________ and AO = ________ 27) If CA = 17, then LO = ________ and LS = ________ 28) mACO = ________ and mCLA = ________ Use isosceles trapezoid FGHJ for problems 29 – 33. 29) If FJ = 22, then GH = ______ 30) If JG = 28, then FH = ______ 31) If mJFG = 98°, then mFGH = ______ 32) If mGHJ = 84°, then mFJH = ______ 33) If mFJH = 82°, then mJFG = ______ Use isosceles trapezoid ABCD for problems 34 – 37. 34) If AF = 8, then BG = ______ 35) If AB = 24 and DC = 36, then FG = ______ 36) If AB = 14 and FG = 22, then DC = ______ 37) If AB = 3x + 2, FG= 4x – 2, and DC = 34, then x = ______ and FG = ______ Use kite MNOP for problems 38 – 44. 38) If MN = 15, then NO = ______ 39) If OP = 26, then MP = ______ 40) If MR = 12, then RO = ______ 41) mNRO = ______ 42) If mMNO = 88°, then mMNR = ______ 43) If mNMP = 96°, then mNOP = ______ 44) mMPO = 82°, then mROP = ______ Use kite ABCD for problems 45 – 46. 45) If AD = 15 and AF = 9, then FD = ______ and FB = ______ 46) If FD = 10 and FC = 24, then DC = ______ 47) What type of quadrilateral has the vertices A(-10,4), B(-2, 10), C(4,2), D(-4,-4)?