Indicate the answer choice that best completes the statement or answers the question. ANIMATION Find the translation that moves the figure on the coordinate plane. Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 1. figure 1 figure 2 a. (x + 4, y + 2) b. (x + 3, y + 3) c. (x 4, y + 1) (x 4, y 2) Find the value of the variable(s) in each figure. Explain your reasoning. 4. CBF GFH a. ; Converse Corresponding Angles b. ; Converse Consecutive Interior c. ; Converse Corresponding Angles ; Converse Consecutive Interior Find each measure. 2. a. x = 3.5, y = 2; Use corresponding and supplementary s. b. x = 3.5, y = 2; Use alternate interior and supplementary s. c. x = 28, y = 23; Use corresponding and supplementary s. x = 28, y = 23; Use alternate interior and supplementary s. Find the measures of the sides of each tri by its sides. KPL and classify 3. K(5, 3), P(3, 4), L( 1, 1) a. ; scalene 5. m GHM a. 50 b. 40 c. 120 It cannot be determine b. ; isosceles c. ; scalene ; scalene
Write an equation in point-slope form of the line having the given slope that contains the given point. Then graph the line. 6. m: 0.5, (7, 3) a. y 3 = 0.5(x 7) b. y + 3 = 0.5(x 7) c. y + 3 = 0.5(x 7) y = 0.5x 3 Write an equation in slope-intercept form for each line shown or describe 9. Find the coordinates of the midpoint of if L(8, 5) and B( 6, 2). a. (1, 3.5) b. (2, 7) c. (7, 3.5) (7, 1.5) 10. Find the length of. a. 50.9 b. 38.3 c. 25.7 12.6 11. Which tris are congruent in the figure? a. b. c. Identify the special name for each 7. x-intercept is 2, y-intercept is 5 a. b. c. In measure., CP = 30, EP = 18, and BF = 39. Find each 13. 9 and 13 a. alternate exterior b. alternate interior c. consecutive interior corresponding 14. Which of the following sets of numbers can be the lengths of the sides of a tri? a. 12, 9, 2 b. 11, 12, 23 c. 2, 3, 4 8. FP a. 26 b. 39 c. 13 15. Which is an equation of the line with x-intercept 18 and a y-intercept 3? a. y = b. c. y = 3x y = y = + 18 6x + x + x + 3 3 3
17. Find ST. 22. What is the relationship between the lengths of and? a. 12 b. 18 c. 23 24 Use the figure below to answer the following a. YW = b. YW < c. YW > cannot tell 23. Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them? 18. What type of is BAC? a. acute b. obtuse c. right straight 19. What is the classification of ABC with vertices A(0, 0), B(4, 3), and C(4, 3) by its sides? a. equilater al b. isoscele s c. scalen e righ t 20. Find the length of. a. 12.3 b. 16.8 c. 29.1 45.9 Refer to the figure to determine which is a true statement for the given information. a. Maria and Nayla b. Carrie and Maria c. Carrie and Nayla All three live equal distances from each other. 24. Given A( 1, 4), B(1, 5), and C( 5, 3), which coordinate will make parallel to? a. D( 7, 4) b. D( 6, 1) c. D(4, 3) D( 3, 4) 25. Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48. a. 384 b. 12 c. 6 4 Identify the special name for each 21. is a median. a. m ACD = 90 b. BAC DAC c. BC = CD B D 26. Given, which postulate or theorem justifies that p q? a. Corresponding b. Consecutive Angles Postulate Interior Angles c. Alternate Exterior Alternate Interior
27. Which segment is skew to? a. b. c. Use the figures below to answer the following 32. Name a median. a. b. c. Identify the special name for each 28. If m ABJ = 28,, find m JBC. a. 90 b. 62 c. 45 34 29. On a line, if XY = 6, YZ = 8, and XZ = 2, which point is between the other two? a. X b. Y c. Z cannot tell 30. Which in ABC has the greatest measure? 33. 10 and 14 a. alternate exterior b. alternate interior c. consecutive interior corresponding 34. If ABC is isosceles with vertex B, and, which theorem or postulate can be used to prove? a. A b. B c. C cannot tell Use the figure below to answer the following a. SSS b. SAS c. ASA AAS 31. Find m USW if m USW = 7x 34 and m TSR = 4x + 29. a. 147 b. 113 c. 84 21 35. Name an altitude. a. b. c.