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Geometry Extra Practice Chapter 9/11 Name:______________ Hour:________ For problems 1 and 2 find an equation of the line through the given point and perpendicular to the given line 1) y = 2x – 2 and (-3, 5) 1.)_______________ 2) 4x = 5y – 3 and (1, -1) 2.)_______________ For Problem 3 and 4 use the quadratic formula to solve each of the following equations 3) 2x2 – x – 14 = 0 3.)_______________ 4) 4x2 – 9x + 4 = 0 4.)_______________ Using a flow chart or a two-column proof, prove the following 5) Given: AB || CD , B D , AB CD Prove: ABF CED C E B F A D Geometry Extra Practice Chapter 9/11 Name:______________ Hour:________ For problem 6 draw a diagram and use trigonometric ratios to solve the following problem. 6) Juanito is flying a kite at the park and realizes that all 500 feet of string are out. Margie measures the angle of the string with the ground with her clinometer and finds it to be 42.5˚. How high is Juanito’s kite above the ground? 6.)_______________ 7) If rectangle A and rectangle B have a ratio of similarity of 5:4, what is the area of rectangle B if the area of rectangle A is 24 square units? 7.)_______________ 8) Rectangle A is similar to rectangle B. The area of rectangle A is 81 square units while the area of rectangle B is 49 square units. What is the ratio of similarity between the two rectangles? 8.)_______________ 9) Rectangle A is similar to rectangle B. The area of rectangle A is 16 square units while the area of rectangle B is 100 square units. If the perimeter of rectangle A is 12 units, what is the perimeter of rectangle B? 9.)_______________ 10) If prism A and prism B have a ratio of similarity of 6:11, what is the volume of prism B if the volume of prism A is 96 cubic units? 10.)______________ Geometry Extra Practice Chapter 9/11 Name:______________ Hour:________ 11) Prism A and prism B are similar. The volume of prism A is 72 cubic units while the volume of prism B is 1125 cubic units. What is the ratio of similarity between these two prisms? 11.)______________ 12) The ratio of the perimeters of two similar parallelograms is 3:7. What is the ratio of their areas? 12.)______________ 13) Find the area of a regular hexagon with side length 10 ft. 13.)______________ 14) Find the volume and surface area of the following figure 1.0 m 2.6 m 14.) V = __________ SA = _________ 15) Find the volume and the surface area of the following figure 11 cm 11 cm 15.) V = __________ SA = _________ Geometry Extra Practice Chapter 9/11 Name:______________ Hour:________ 16) Find the volume and the surface area of the following figure 8 in 12 in in 10 16.) V = __________ SA = _________ 17) Find the probability of randomly entering each room. B A a) P(A) b) P(B) C c) P(C) 18) Your friend and you have just won a chance to collect a million dollars. You place the money in one room at right and you friend has to walk through the maze. In which room should you place the money so that your friend will have the best chance of finding the million dollars? A B