Name: ___________________________________ Date: _____________ Per: ________ --- **Use this figure for Questions 1-3** [Geometry Diagram 1] 1. Name another way to describe angle CAF. 2. Identify the point that lies between points G and M. 3. Angle CAD is bisected by line CE. If m(angle 1) = (2x + 5) degrees and m(angle 2) = (x + 15) degrees, find m(angle CAD). --- 4. How many points are required to define a plane? --- **Use this figure for Questions 5-8** [Geometry Diagram 2] 5. Identify a pair of supplementary angles. 6. Which angles in the figure are congruent? 7. Name a pair of vertical angles. 8. Identify two angles that form a linear pair. --- **Use this figure for Questions 9-10** [Geometry Diagram 3] 9. If AB = 5x - 10, BC = 3x + 4, and AC = 30, find the value of x. 10. If AB = 6x + 7, BC = 4x + 9, and AB is congruent to BC, find the length of AC. --- 11. If the midpoint of segment RS is (2, 5) and one endpoint is R(0, 1), find the coordinates of the other endpoint, S. 12. Calculate the distance between P(3, -4) and Q(-2, 6). 13. Segment MN has endpoints M(-3, 2) and N(5, -4). What are the coordinates of the midpoint of MN? 14. A circle has a radius of 6 cm. What is its exact circumference? 15. A square has a side length of 12 inches. Find its perimeter. 16. A rectangle has dimensions 10 yards by 15 yards. Calculate its area. --- **For questions 17-20, name the property that justifies each statement.** 17. If 4x = 36, then x = 9. 18. If XY = AB, then AB = XY. 19. If 2x + 5 = 15, then 2x = 10. 20. If MN = PQ and PQ = 20, then MN = 20. --- **Use this figure for Questions 21-23** [Geometry Diagram 4] 21. Find the value of x in the diagram. 22. Solve for y using the given angle measures. 23. List the measures of all the angles in the triangle. --- 24. One angle is three times as large as its complement. Find the measures of both angles. --- 25. Name three collinear points in the given figure. 26. What do you call two coplanar lines that never intersect? 27. What do you call two noncoplanar lines that never intersect? --- **Use this figure for Questions 28-35** [Geometry Diagram 5] 28. Angle 1 is congruent to angle 3 by ________________. 29. Angle 8 is congruent to angle 6 by ________________. 30. If angle 5 is congruent to angle 9, then m is parallel to n by ________________. 31. If angle 2 is congruent to angle 7, then m is parallel to n by ________________. 32. If angle 12 is congruent to angle 14, then m is parallel to n by ________________. 33. Angle 4 and angle 6 are supplementary because ________________. 34. If m(angle 13) = 50 degrees, find the value of x for which m is parallel to n. 35. If m(angle 15) = 130 degrees, find the value of y for which m is parallel to n. --- 36. Determine the slope of the line passing through A(1, -5) and B(4, 7). 37. Write the equation of the line 2x + 5y = 10 in slope-intercept form. Identify its slope and y-intercept. 38. The line passing through C(-2, 4) has a slope of -2. Write its equation in point-slope, slope-intercept, and standard forms. 39. Write the equation of a horizontal line passing through (3, -7). 40. Write the equation of a line passing through (-1, 3) and perpendicular to 4x + y = 8. 41. Line t has the equation y = 3x - 2. Line r passes through the points (1, 2) and (-2, -4). Determine whether t and r are parallel, perpendicular, or neither. 42. Write the equation of the line passing through the points (6, -2) and (4, 3). --- **Use this figure for Questions 43-46** [Geometry Diagram 6] 43. Identify an acute angle in the figure. 44. Identify an obtuse angle in the figure. 45. Identify a right angle in the figure. 46. Identify a straight angle in the figure. --- **Use the figure below for Questions 47-50** [Geometry Diagram 7] 47. Write an expression to represent segment PQ. 48. If PQ = 24, find the length of PR. 49. If PQ = 24, find the length of QR. 50. If PQ = 24, find the length of PR + QR. ---
