Geometry Unit 11 Review Show all work and follow the criteria for credit.

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1 Competency 1: Algebraic Probabilities 1. A bag of lollipops has 12 grape, 13 cherry, 10 lemon, and 16 lime. a) What is the probability of choosing a grape or cherry? b) What is the probability of choosing a lemon or lime? 4. Susie has a sewing box with 2 white spools of thread, 4 blue, 2 red, black, and 2 tan. Susie is going to randomly choose a spool of thread, put it back because it is the wrong color, and then randomly choose another spool of thread. a) Is this dependent or independent? Explain why. 2. A gumball machine has 34 green gumballs, 2 red gumballs, 14 blue gumballs, and pink gumballs. If you turn the handle of the gumball machine once, what would be the probability of NOT getting a pink gumball? b) What is the probability that Susie will randomly choose a white spool of thread, use it to sew a dress, put it back and then randomly choose a red spool of thread to finish the hem? A C ob has a gumball machine with 4 white gumballs, 11 purple, 6 blue, and 1 green. ob is going to choose a gumball, chew it, and then choose another gumball. a) Is this dependent or independent? Explain why. Competency 2: Geometric Probabilities. What is the probability that a point chosen at random on QT is on RS? Q R S T b) What is the probability that ob will randomly choose a purple gumball, chew it and then randomly choose another purple gumball? 6. What is the probability that a point chosen at random on A is on CD? Revised 3/1/2011 page 1 of 6 Printed 3/2/2013

2 7. A dart is randomly tossed and hits the dartboard in the given diagram. The radius of the larger circle is inches and the radius of the smaller circle is 4 inches. 9. A dart is randomly tossed and hits the dartboard in the given diagram. The radius of the largest circle is 10 inches. The radius of the partially shaded circle is 7 inches. The radius of the smallest circle is inches. What is the exact and estimated probability that the dart hits the shaded circle? What is the probability that the dart lands in the shaded ring?. A dart is randomly tossed and lands inside the square diagram. Competency 3: Experimental Probability 10. Karen spun a fair spinner times. Her results are recorded in the table. 10 R Y G 10 What is the exact and estimated probability that the dart lands in the unshaded area? Spin Karen s Results Y Y R G Y G If Karen spins the spinner four more times, what would she need to spin in order for her results to match theoretical probability? A. four reds. two blue and two green C. one yellow, one green, one red, and one blue two red, one blue, and one green Revised 3/1/2011 page 2 of 6 Printed 3/2/2013

3 11. Lucy, Ricky, and Taylor flipped a fair coin times. Their results are recorded in the table below. Flip Lucy H T H H T H T T Ricky T T T H T H H H Taylor H H H H T H H H Whose results are the closest match to the theoretical probability? A. Lucy only. Ricky only C. Taylor only Lucy and Ricky 12. Dean spun a fair spinner times. His results are recorded in the table. 13. Jesse flipped a fair coin 10 times, Omar flipped a fair coin 0 times, and Larry flipped a fair coin 2 times. Whose experimental results should be closest to theoretical probability? A. Jesse. Omar C. Larry Jesse and Larry s results combined are closest to theoretical 14. Erin and Cindy each performed an experiment in which they spun a fair spinner 3 times. 7 R Y G 9 10 Spin Dean s Results G G R G G Y G ased on Dean s results, what is the experimental probability of spinning green compared to the theoretical probability? A.. C. 1 1 which is greater than the theoretical which is greater than the theoretical which is less than the theoretical which is less than the theoretical Spin Erin s Results 7 9 Cindy s Results Which outcome has a probability of 1? A. After one more spin, an even number will be 1 2 of Erin s results.. After 1 more spin, an even number will be 1 2 of Cindy s results. C. After 1 more spin, at least half of Cindy s results will be even. After 1 more spin, at least half of Erin s results will be even. Revised 3/1/2011 page 3 of 6 Printed 3/2/2013

4 Competency 4: Permutations and Combinations 1. You are making a sandwich for lunch. You have 2 types of bread, 3 types of meat, and types of cheese. How many different sandwiches could you make? 1. Erin is test diving cars. There are cars she can test drive, but she only has time to test drive 3 cars. Which expression correctly represents the number of different orders Erin can test drive 3 cars? A.! 2!. 3! 2! 16. You are shopping for school clothes at 4 different clothing stores. In how many different orders can you visit the 4 stores? C.! 3!2! 3!!2! 19. Juan is at the school dance. He sees 7 girls that he wants to dance with. How many different orders can he dance with 3 of the 7 girls? 17. There are 9 new CD s for sale at est uy, but only five of them will fit on the display. Which expression correctly represents the number of different groups of that can created for the display? 20. There are 10 people on the varsity basketball team. How many different groups of are possible? A. 9!!4!. 9! 4! C.! 4!! 9!4! Revised 3/1/2011 page 4 of 6 Printed 3/2/2013

5 Competency : Geo Distributed Practice 21. Given a b, m 3 = ( 3x 4) o and m = ( 2x + 4) o. 22. Rectangle ACD is dilated and rectangle A C D results. 3 A C b a D C A 12 D t Which is a true statement about the area of the dilated triangle? A. It is one-fourth the original area. What is m 4? A C E It is one-sixteenth the original area. C. It is four times the original area. It is sixteen times the original area. 22A. AC is dilated and A C results. A A 23. Given the transformation below: R R C 2 Which is a true statement about the perimeter of the dilated triangle? A. It is twice the original perimeter. It is four times the original perimeter. 4 C Which type of transformation is represented by the figures? A. reflection. dilation C. rotation translation C. It is one-half the original perimeter. It is one-fourth the original perimeter. Revised 3/1/2011 page of 6 Printed 3/2/2013

6 24. A dilation is performed to a scale factor of 4:1. What are the corresponding perimeter and area ratios? A. Perimeter ratio = 2:1, Area Ratio = 4:1. Perimeter ratio = 4: 1 Area Ratio = 2:1 C. Perimeter ratio = 4:1 Area Ratio = 16:1 Perimeter ratio= 16:1 Area Ratio = 4:1 2. Which of the following conditional statements has a True Converse? A. If an angle measures 6, then the angle is acute.. If you are a sophomore, then you are taking math. C. If the sum of the measures of two angles is 10, then the angles are supplementary. If a figure is a square, then all four sides of the figure are congruent. Answers: 1A C 2 = 0.49 = 49% 1 26 = 0.1 = 1% 1 3A. Dependent, can t choose the same gumball again 3. = 0.24 = 24% 21 4A. Independent, you can pick the same color again = 0.02 = 2% 3 = 0.3 = 30% = 0.4 = 40% = 0.2 = 2% 2π π = 0.79 = 79% = 0.24 = 24% D 11. D 12. A C A 1. A A 22A. C 22. D 23. D 24. C 2. C Revised 3/1/2011 page 6 of 6 Printed 3/2/2013