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Geometry Name_________________________ Review I. Identify the name of the polygon given the number of sides. 1. 6 ________ 2. 13________ 3. 8 ________ 4. 5 ________ 5. 9 _______ 6. 10________ 7. 12_______ 8. 20 ________ 9. 3 _______ 10. 4 ________ 11. 7 _______ 12. 11 _______ II. Find the sum of the measure of the interior angles in the following polygons. 13. pentagon ______ 14. octagon_______ 15. 23-gon ______ 16. nonagon______ III. Determine the value for each interior angle and exterior angle of the following polygons. 17. regular hexagon _____ _____ 18. regular 18-gon_____ _____ IV. The measure of one exterior angle of a regular polygon is given. Find the number of sides. 19. 120 __________ 20. 60 __________ V. Use the polygon below to answer the following questions. 21. Give the name of the polygon given the number of sides. _________________ A 22. Is it concave or convex? _________________ 23. Name all sides of the polygon. __________________________________________ 24. Name two angles of the polygon. ___________ __________ 25. Name the vertices. ____________________________ B A H B A C B A G B A D A F B A E B A 26. Is this polygon regular? Explain. ________________________________________________________ VI. Define. Quadrilateral Rhombus Base Parallelogram Square Legs Diagonal Trapezoid Base Rectangle Isosceles Trapezoid Median Polygon VII. Know ALL Properties for Quadrilaterals PARALLELOGRAM RECTANGLE RHOMBUS SQUARE TRAPEZOID VIII. Determine the type of Quadrilateral. A(-1,3) B(2,4) C(1,-2) D(4,0) _________________________ IX. Given parallelogram ABCD, find the following. _____ a.) AB = 3x + 5 CD = 2x + 12 _____ b.) AE = x + 28 EC = 8x _____ c.) m A = 2x + 12 m C = 4x - 6 _____ d.) AD = 4x + 5 BC = 45 x=? X. Given rectangle RSTU, find the following: _____ a.) m 1 = 3x + 2 m 2 = 7x - 2 m <2 = ? _____ b.) RT = x + 3 US = 5 m 2 = 30x + x m 3=? OMIT c.) RU = 7y - 1 ST = -3y2 + y - 1 _____ d.) m 2 = 35 Find m SMR. XI. Given rhombus ABCD. _____ a.) m 1 = 65 Find m 2. _____ b.) AB = 3n - 18 AC = 10n + 15 XII. Given square ABCD. _____ a.) AM = 3x + 5 DM = 5x -19 _____ b.) m BMC = 3x + 42 XIII. Given PQRS is a trapezoid with median TU. _____ a.) PQ = 3x + 14 SR = 5x + 10 TU = 44