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Review 1 - Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. How are the two angles related? b. y 4 2 55° –4 125° –2 2 4 x 2 4 x 2 4 x –2 Drawing not to scale –4 a. adjacent b. supplementary c. complementary d. vertical 2. Which graph shows a triangle and its reflection image in the x-axis? y a. c. y 4 2 4 –4 2 –2 –2 –4 –2 2 4 x –4 –2 –4 d. y 4 2 –4 –2 –2 –4 3. Which angle is a right angle? a. a. y 8 b. 4 –8 c. –4 4 8 x 4 8 x 4 8 x –4 –8 d. b. y 4. Which figure is a convex polygon? a. 8 4 –8 –4 b. –4 –8 c. y c. 8 4 –8 d. –4 –4 –8 5. Which translation from solid-lined figure to dashed-lined figure is given by the vector ? d. y 8 4 –8 –4 4 8 x –4 –8 Short Answer 6. Which point is the midpoint of A B C –8 –7 –6 –5 –4 –3 –2 –1 7. If measure of ? 10. D 0 bisects E 1 2 3 4 5 6 7 and Solve for x and find The diagram is not to scale. 8 and then what is the The diagram is not to scale. 11. Use an ordered pair to describe the translation that is 3 units to the left and 1 units up. 8. Use an ordered pair to describe the translation that is 7 units to the left and 10 units down. 9. bisects , . Find 12. If the measure of and , then what is The diagram is not to scale. , . The diagram is not to scale. 13. Describe in words the translation represented by the vector . 14. A high school soccer team is going to Columbus to highway rest stop halfway between the cities. What see a professional soccer game. A coordinate grid is are the coordinates of the rest stop? What is the superimposed on a highway map of Ohio. The high approximate distance between the high school and school is at point (3, 4) and the stadium in the stadium? (One unit 10.2 miles.) Columbus is at point (7, 1). The map shows a 15. The vertices of a triangle are P(–2, 2), Q(2, 5), and R(–5, 2). Name the vertices of the image reflected in the line y = x. 16. Find 18. Find the distance between points P(2, 1) and Q(7, 4) to the nearest tenth. 19. 1 4 2 3 and are complementary angles. m = , and m = . Find the measure of each angle. 20. Rhoda was sitting in seat B6 at a soccer game when she discovered her ticket was for seat F8. Write a rule to describe the translation needed to put her in the proper seat. Drawing not to scale 17. Judging by appearance, name an acute angle, an obtuse angle, and a right angle. 21. Find the coordinates of the midpoint of the segment whose endpoints are H(5, 8) and K(9, 14). 22. M(3, 4) is the midpoint of The coordinates of S are (5, 5). What are the coordinates of R? F I E G H 23. The vertices of a triangle are P(6, 2), Q(–6, –7), and R(8, –8). Name the vertices of the image reflected in the yaxis. 24. Name the line and plane shown in the diagram. R S P 25. Name an angle supplementary to Q (7x – 3)° (6x + 14)° Drawing not to scale 26. If find the values of x, EF, and FG. The drawing is not to scale. E F G 28. The complement of an angle is 29°. What is the measure of the angle? 29. and , and angle. are supplementary angles. . Find the measure of each 27. Find the value of x. 30. Find AC. A B C D –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 31. The vertices of a triangle are P(6, 8), Q(–3, 6), and R(–2, 7). Name the vertices of the image reflected in the x-axis. 32. Write a rule to describe the transformation that is a S T U reflection in the x-axis. 6x 33. Find the midpoint of 2x + 32 y 10 35. 5 Q –10 –5 5P 10 x –5 –10 34. If T is the midpoint of find the values of x and ST. The diagram is not to scale. bisects expression for , and . Write an . The diagram is not to scale. Review 1 - Geometry Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. B A D B C SHORT ANSWER 6. D 7. 39 8. 9. 64 10. x = 11, 11. 12. 63 13. 3 units to the left and 5 units up 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. , 51 miles 133 5.8 = 48, (x + 4, y + 2) (7, 11) (1, 3) = 42 and plane PQS x = 9, EF = 5, FG = 12 –17 61° 10 (x, y) (x, –y) (–1, 1) 34. x = 8, ST = 48 35. 4x – 16