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Accelerated Geometry Quadrilaterals Worksheet #1 1. Name ___________________________ Date______________ In Parallelogram ABCD, ∠A = 9y – 12, ∠B = –26x + 16, ∠C = 60°. Find the value of x and y. B C A D 2. Draw parallelogram STAR with diagonals SA and TR . Find the value of x and y if m∠TSA = 2x, m∠STR = 18°, m∠SRT = 62°, m∠RSA = 3y + 5, and m∠SAT = 50°. 3. Given: Parallelogram WSTV WS = x + 5 WV = x + 9 VT = 2x + 1 Find the perimeter of WSTV W S V T Accelerated Geometry Quadrilaterals Worksheet #1 Name ___________________________ Date______________ 4. Draw parallelogram PWJL. m∠P = 7x – 12, m∠W = 2x + 3. Find x and the measures of angles P and W. 5. Use the parallelogram at the right to solve each problem. E b.) If mBAC = 45, find mACD c.) If mBEA = 135, find mAED C d.) If mABC = 50, find mBCD e.) If AB = 5x – 3 and CD = 2x + 9, find AB f.) If mDAB = 2x – 10 and mADC = 3x, find mDAB g.) If mBAD = 3x – 12 and mBCD = x + 40, find mBAD h.) If CE = 2x + 7 and EA = 3x – 4, Find CA i.) If BD = 4y – 22 and ED = y + 5, Find BE A B a.) If mBCD = 125, find mBAD D Accelerated Geometry Quadrilaterals Worksheet #1 6. Name ___________________________ Date______________ Solve for x and y in the parallelogram below. 3x − 2 y 114° 4x + 6 y 66° 7. Solve for the value(s) of x in the parallelogram below and then determine the possible side lengths. 2 x 2 − 3x + 20 x 2 − 2 x + 32 8. In Paralleogram ABCD, m∠A = 4 x + 11y − 10 , m∠B = 3 y − 2 x , m∠C = − 2 y − 15 x − 5 and m∠D = − 2 x + 3 y . Find the values of x and y and m∠A and m∠B. B A C D Accelerated Geometry Quadrilaterals Worksheet #1 Name ___________________________ Date______________ Directions for each quadrilateral: a) Based on the properties of the given quadrilateral, mark the congruent and parallel parts as well as the right angles (if there are any). b) Mark the given information in diagram c) Fill in as many missing measurements as possible. (Note: Not enough information to fill in all measurements in some quadrilaterals) c a For Right Δs: Use Pythagorean Theorem (which we will prove in later): c2 = a2 + b2 b 9. Given: Rhombus EFGH m∠EHF = 37 HF = 8” FG = 5” A B X 37° C D 10. Given: Rectangle IJKL m∠ILZ = 37 LJ = 5” JK = 4” I 11. J Given: Square MNOP PN = 8” M N Y Z P 37 ° L K O