b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem
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1 Chapter 7 1. State which theorem you can use to show that the quadrilateral is a parallelogram. a) Parallelogram Opposite Angles Converse b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse 2. Consecutive angles in a parallelogram are always. a) Congruent Angles b) Complementary Angles c) Supplementary Angles d) Vertical Angles d) Opposite sides Parallel and Congruent Theorem 3. If ON = 6x 6, LM = 5x + 2, NM = x + 5, and OL = 3y + 7, find the values of x and y given that LMNO is a parallelogram. 4. Find the value of x. 5. Find the value of x. 6. Classify the special quadrilateral. 7. Classify the special quadrilateral.
2 Chapter 8 8. Tell whether the triangles are similar. 9. Find the length of AB. 10. Given that ABC ~ DEF, solve for x and y. 11. The perimeter of PQR is 56, PQ = 16, PQR ~ STU, ST = 12. What is the perimeter of STU? 13. ABC ~ RST, find the value of x. 12. Shown below is an illustration of the. a) AA Similarity b) SAS Congruence c) SSS Similarity 14. A rectangular yard is fenced using 319 feet of custom fence. Your friends really like the fence and decide to fence in their yard using the same fence. Their yard is similar but has a scale factor of 8 5 d) SAS Similarity times the size of yours, how much fence, to the nearest foot, will they have to purchase? 15. ABE ~ CDE. Find the length of altitude NE.
3 Chapter Find the value of x and y. Write your answer in simplest form. 17. Find the value of x and y. Write your answer in simplest form. 18. Find the value of x. 19. Find the length of the hypotenuse of the triangle. 20. Find the value of x. Write your answer in simplest form. 21. Find the value of x. Write your answer in answer in simplest form. 22. You are holding a kite in your hand. The angle of elevation from your hand to the kite is 40 and the distance to the kite is 295 feet. Your hand is 4 feet above ground. How high is the kite? Round your answer to the nearest tenth of a foot. 24.Find the m < Hand m < G. 23. Find w. 25. An adventure company wants to run a zip line from the top of one building that is 130 feet tall to the top of another building that is 30 feet tall. The two buildings are 72 feet apart. Estimate the length (in feet) of the zip line. Round your answers to the nearest tenth.
4 Chapter In circle P, mab = 105 and r = 10 yards. Find arc length of AB. Round your answers to two decimal places. 27. Find the value of x. 28. Write the standard equation of a circle that has center of ( 4, 2) and a radius of Write the standard equation of a circle that has center of (8, 1) and a radius of Name a radius, chord, diameter, secant and a tangent. 31. In the diagram, QR = ST = 144, CU = 3x, and CV = 6x 21. Find the value of x. 33. Find the value of x. 32. In the diagram, m < J = Find the mjk.
5 Chapter Convert 2π 3 radians to degrees. 36. Find the arc length of FE. Round your answer to two decimal places. 35. Convert π radians to degrees Find the area of the regular polygon. Round your answers to two decimal places, if necessary. 38. Find the area of the composite figure. Round your answer to two decimal places, if necessary. 39. Wallpaper is applied to the wall surrounding a Norman window. How many square feet of wallpaper are required to cover the wall surrounding the window? 40. About 78,000 people live in one-fourth of a region with a 15 mile radius. Estimate the population density in people per square mile. 41. All linear dimensions of a regular polygon are multiplied by 1. Describe the area, in square 4 units, of the new polygon? 42. A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is about to turn 7π 9 radians from its starting position before getting stuck. Which distances could the wheel spin before it would no longer be about to move? 43. The diameter of Q is 14 cm. Find the arc length of PR. a) ft c) ft b) ft d) ft
6 Chapter 12 Describe the cross section formed by the intersection of the plane and the solid Find the volume, lateral area, and surface area of the cylinder. 48. Find the volume and surface area composite solid. 49. The volume of a right cylinder is 300π cubic feet. The dimension of the radius is doubled and the height remains the same to create a new right circular cylinder. What is the volume of the new right circular cylinder? 50. Describe how tripling all linear dimensions affects the volume of the cylinder. 51. Find the volume, lateral area and surface area of the rectangular prism. 52. Find the volume and surface area of the composite solid.
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