Coordinate Geometry MCQ Test: Coordinate Geometry MCQs - Practice Questions
1. What are the coordinates of the point located at the intersection of the x-axis and y-axis in a Cartesian plane?
2. In a Cartesian plane, if the point (5, -2) is reflected across the x-axis, what are the new coordinates of the point?
3. If the midpoint of a line segment is (3, -2) and one endpoint is (5, 4), what are the coordinates of the other endpoint?
4. What are the coordinates of the orthocenter of a triangle with vertices at (1, 3), (4, 1), and (6, 5)?
5. What are the coordinates of the point that divides the line segment joining (2, 1) and (-4, -3) in a 2:3 ratio?
6. Given two points (2, 4) and (6, 8), what is the equation of the line passing through these points?
7. If the slope of a line is undefined, what can be said about the line?
8. What is the equation of the ellipse in standard form with major axis along the x-axis, center at (1, -3), semi-major axis of length 4, and semi-minor axis of length 2?
9. If a line has a slope of 3 and passes through the point (2, -4), what is the equation of the line in slope-intercept form (y = mx + b)?
10. In a Cartesian plane, what is the slope of a horizontal line?
11. If a line passes through the points (1, 2) and (3, 6), what is the slope of the line?
12. If a line has a slope of -2/3 and passes through the point (4, 5), what is the equation of the line in point-slope form (y - y1 = m(x - x1))?
13. If a line has a slope of -3/4 and passes through the point (2, 5), what is the equation of the line in slope-intercept form (y = mx + b)?
14. What is the equation of the line perpendicular to y = 2x + 1 that passes through the point (4, -3)?
15. What are the coordinates of the point that is equidistant from the points (3, 1) and (7, 5) in a Cartesian plane?
16. If a line is parallel to the y-axis, what is the slope of the line?
17. In a Cartesian plane, if the point (2, 4) is reflected across the y-axis, what are the new coordinates of the point?
18. What are the coordinates of the midpoint between the points (-2, 1) and (3, -5) in a Cartesian plane?
19. What is the distance between the points (-1, 3) and (2, -2) in a Cartesian plane?
20. In a Cartesian plane, if the points (a, -3) and (5, b) are equidistant from the point (2, 1), what is the value of a + b?
21. If a line has a slope of 2 and passes through the point (-3, 5), what is the equation of the line in point-slope form (y - y1 = m(x - x1))?
22. What are the coordinates of the midpoint between the points (3, 5) and (-1, 9) in a Cartesian plane?
23. What is the distance between the points (-1, 2) and (4, 6) in a Cartesian plane?
24. If a line passes through the points (1, -2) and (4, 5), what is the equation of the line in point-slope form (y - y1 = m(x - x1))?
25. What is the equation of the line passing through the points (1, -2) and (3, 4)?
26. In a Cartesian plane, if the point (3, -2) is reflected across the x-axis, what are the new coordinates of the point?
27. If a point lies on the x-axis, what is the value of its y-coordinate?
28. What is the area of a triangle with vertices at (-1, 3), (2, -1), and (4, 5)?
29. What are the coordinates of the point that is equidistant from the points (1, 2) and (5, 6) in a Cartesian plane?
30. If a line passes through the points (-4, 2) and (2, -1), what is the slope of the line?
31. If a line has a slope of 2 and passes through the point (1, 5), what is the equation of the line in slope-intercept form (y = mx + b)?
32. What are the coordinates of the midpoint between the points (1, -3) and (-5, 7) in a Cartesian plane?
33. If the area of a triangle is 24 square units and the base is 6 units, what is the height of the triangle?
34. In triangle ABC, if angle A is 50 degrees, angle B is 60 degrees, what is the measure of angle C?
35. If a line has a slope of 1/4 and passes through the point (2, -3), what is the equation of the line in slope-intercept form (y = mx + b)?
36. If a triangle has side lengths of 6, 8, and 10, what type of triangle is it?
37. If a point lies on the y-axis, what is the value of its x-coordinate?
38. What is the midpoint between the points (3, 1) and (-2, -5) in a Cartesian plane?
39. What is the distance between the points (0, 0) and (3, 4) in a Cartesian plane?
40. What is the distance between the points (-3, 1) and (2, 4) in a Cartesian plane?
41. What is the slope of a line perpendicular to the line with equation y = 2x - 1?
42. What is the slope of a line parallel to the y-axis?
43. If a line has a slope of 1 and passes through the point (-2, -3), what is the equation of the line in slope-intercept form (y = mx + b)?
44. What is the equation of a circle in standard form with center (2, -3) and radius 5?
45. What is the equation of the line passing through the points (2, -1) and (5, 4)?
46. What is the equation of the circle with center (-3, 2) and radius 4?
47. What is the area of a parallelogram with vertices at (-2, 1), (3, -3), (5, 4), and (0, 8)?
48. What is the slope of a line perpendicular to a line with a slope of 3?
49. What is the slope of a line parallel to the line with equation y = -3x + 2?
50. If the line 3x - 4y = 7 is perpendicular to another line, what is the slope of that line?