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Geometry 1. Bisect this angle: Name ______________________ No. ____ Date ________________ Period _________ 2. Construct a perpendicular to this line through the point given: 0B 3. 4. Given: noncollinear points A, B, C lie in plane M. Point D does not lie in plane M. How many planes are determined by A, B, C, and D? . 5. Is the converse of the conditional “If two angles are vertical angles, then they are congruent.” Always, sometimes, or never true? Explain your answer. 6. 7. Write an indirect proof 8. 9. In circle C, CD AB and m1 70 . Find m2 . 10. Find the exact area of polygon TIGER. 11. Show that 12. Find the value of x. Round answer to the nearest tenth. 13. Find the exact area and perimeter of the trapezoid below. 14. Find the exact values of x and y. 15. A diagonal of a regular hexagon measures 20 cm. Find the exact area of the hexagon. 1B (proof by contradiction): If two angles of a triangle are not congruent, then the sides opposite those angles are not congruent. sin A tan A cos A Given: JOG RUN , mJ 5x 10 , mG 2x 17 , and mU 3x 7 . Classify JOG by sides and angles. 16. Find the exact value of x. Geometry Name ______________________ No. ____ Date ________________ Period _________ 17. Given the points A(2, 4) B(8, 4) C (2, 2) , 18. The radius of circle P is 5 cm. The length of prove that XP is 6 cm. XP intersects the circle in how many points? MN joining the midpoints of AB and AC has a length equal to 19. Two parallelograms with equal perimeters are similar. True or False? If false, provide a counterexample. 20. An equilateral triangle 24. In isosceles trapezoid one-half the length of is inscribed in a circle of radius 12. Find the exact difference between the areas of these two figures. CB . 21. Show that the diagonals of rectangle JUNK are congruent and bisect each other. 22. Given rectangle JUMP, m1 6x 16 and m2 2x 4 , find m1 23. Find the value of x. 25. Find the value of x. 26. Find the exact value of x. 27. Find the values of x and y. 30. Given 31. The perimeter of rhombus ABCD is 136. One diagonal measures 32. Find the length of the other diagonal. 29. Find the exact values of x and y in simplest radical form. 2B ABC XYZ , mA 17 x , mB 8x 5 , and mZ 12x 10 . Name the longest side of XYZ JKLM, JK ML , NP is a median, mJ 5x 6 and mM 2x 3. Find mKPN . 28. Find the values of x and y. 32. The exterior angle of a regular polygon measures 36 . Find the sum of the interior angles. 3B