2. Complete the congruence statements based on the corresponding sides of the congruent triangles.


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1 Name Practice Quiz ( & 11.9) 1. Name the corresponding sides and the corresponding angles. D DF D F 2. omplete the congruence statements based on the corresponding sides of the congruent triangles. F D G D? ;? ; D? ; D? 3. If AD is congruent to STUV, then D is congruent to?. 4. The two triangles are congruent. Find the missing side lengths and angle measures. (The figures may not be drawn to scale.) 22 q t ft 10.8 ft 10 ft s r ft p ft 5. Use the similar polygons to find the value of x. (The figures may not be drawn to scale.) F x 16 m 3 m 12 m A 12 m D 9 m
2 6. The sides of A are 1.8 m, 3 m, and 4 m. The sides of MPN are 4.5 m, 7.5 m, and 10 m. xplain how you know that the triangles are or are not similar. 7. A and XYZ are similar. If A,, and A measure 6 inches, 12 inches, and 14 inches respectively, and XY is 13 inches, find XZ to the nearest tenth. 8. The extendable ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance A is 5 feet, the height of the loading dock,, is 4 feet. What is the height of the loading dock, D? 4 ft A 5 ft 15 ft D 9. On a blueprint, the scale indicates that 6 centimeters represent 15 feet. What is the length of a room that is 16.8 centimeters long and 5 centimeters wide on the blueprint? 5 cm 16.8 cm 10. A map has a scale of 5 cm : 14 km. If two cities are 20 centimeters apart on the map, what is the actual distance between the cities? 11. A rectangle has a length of 63 centimeters. A drawing of the rectangle is made using a scale of 1:7. What is the length of the rectangle in the drawing? 12. A bag contains eight white marbles and one green marble. The marbles are randomly selected one at a time. What are the odds in favor of picking the green marble on the first selection? 13. The odds in favor of an event occurring are 1 to 5. Find the probability of the event not occurring.
3 14. If you spin the spinner, what is the probability of the pointer landing on? Y G 15. A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling the number ight balls numbered from 1 to 8 are placed in a bowl. One ball is selected at random. Find the probability that it is not number This chart shows the cans of vegetables in Petra s cupboard. If she chooses a can without looking, what is the probability that it is a can of beets? cans of beets 4 cans of carrots 3 cans of lima beans A bag contains 5 red marbles, 4 white marbles, and 6 blue marbles. Find the probability of obtaining a white marble in a single draw. 19. How many choices are possible if you choose one of 7 bicycles and one of 6 colors? 20. A yogurt shop offers three flavors of frozen yogurt and ten toppings. How many choices are possible for a single serving of frozen yogurt with one topping? 21. Jamestown uilders has a development of new homes. There are four different floor plans and four exterior colors. How many choices are there for one home? 22. A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows a five?
4 23. Use a tree diagram to find the number of choices that are possible if you choose one of 2 dressers, one of 4 kinds of wood, and one of 2 colors. 24. Two bowls both contain black balls and red balls. owl A contains 6 black balls and 3 red balls, and owl contains 3 black balls and 4 red balls. A ball is drawn from each bowl. What is the probability that both balls are black? 25. A drawer contains 6 black socks, 7 gray socks, and 2 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the two socks you draw are the same color? 26. What is the probability of drawing a card with the number 2 on it and having the spinner land on the number 5? A coin is tossed and a single die is rolled. What is the probability that the coin shows heads and the die shows a 3 or a 4? 28. A bag contains 3 yellow, 7 blue, and 4 red marbles. Two marbles are drawn, one at a time, without replacement. Which is the probability that both are red? 29. From a committee of 3 girls and 6 boys, two are drawn to lead the committee. What is the probability that both people drawn will be girls? 30. Spinner A is spun, and then Spinner is spun. What is the probability of landing on 3 both times? Spinner A: Spinner :
5 Answer Key 1. Angles: DF Sides: + D D + F D F D + DF 2. Triangle D FG; F; D FG; D G 3. UV 4. p = 4ft q = 22 r = 90 s = 68 t = 10.8ft 5. x = 4 m 6. Yes, they are similar because all of the corresponding sides have a ratio of 4: in ft ft km cm possible dressers P(both black) = P(both gray) = P(both blue) = P(oth the same color) =
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