GRADE 8 Mathematics – Coordinates and Graphs Quiz
1. What are the coordinates of point A on the graph below?
Point A has coordinates (4, 6) as it is located at x = 4 and y = 6 on the graph.
2. What are the coordinates of point B on the graph below?
Point B has coordinates (2, 5) as it is located at x = 2 and y = 5 on the graph.
3. Which point is located at coordinates (7, 9)?
Point E is located at coordinates (7, 9) as shown on the graph.
4. What are the coordinates of point C on the graph below?
Point C has coordinates (3, 2) as it is located at x = 3 and y = 2 on the graph.
5. Which point is located at coordinates (1, 4)?
Point L is located at coordinates (1, 4) as shown on the graph.
6. What are the coordinates of point D on the graph below?
Point D has coordinates (2, 4) as it is located at x = 2 and y = 4 on the graph.
7. Which point is located at coordinates (6, 7)?
Point R is located at coordinates (6, 7) as shown on the graph.
8. What are the coordinates of point F on the graph below?
Point F has coordinates (6, 5) as it is located at x = 6 and y = 5 on the graph.
9. Which point is located at coordinates (5, 2)?
Point Z is located at coordinates (5, 2) as shown on the graph.
10. What are the coordinates of point G on the graph below?
Point G has coordinates (5, 4) as it is located at x = 5 and y = 4 on the graph.
11. Which point is located at coordinates (3, 7)?
Point D is located at coordinates (3, 7) as shown on the graph.
12. What are the coordinates of point H on the graph below?
Point H has coordinates (7, 5) as it is located at x = 7 and y = 5 on the graph.
13. Which point is located at coordinates (4, 8)?
Point P is located at coordinates (4, 8) as shown on the graph.
14. What are the coordinates of point I on the graph below?
Point I has coordinates (5, 6) as it is located at x = 5 and y = 6 on the graph.
15. Which point is located at coordinates (6, 2)?
Point H is located at coordinates (6, 2) as shown on the graph.
16. What are the coordinates of point J on the graph below?
Point J has coordinates (8, 1) as it is located at x = 8 and y = 1 on the graph.
17. Which point is located at coordinates (2, 6)?
Point E is located at coordinates (2, 6) as shown on the graph.
18. What are the coordinates of point K on the graph below?
Point K has coordinates (4, 5) as it is located at x = 4 and y = 5 on the graph.
19. Which point is located at coordinates (3, 3)?
Point M is located at coordinates (3, 3) as shown on the graph.
20. What are the coordinates of point L on the graph below?
Point L has coordinates (4, 2) as it is located at x = 4 and y = 2 on the graph.
21. Which point is located at coordinates (7, 4)?
Point W is located at coordinates (7, 4) as shown on the graph.
22. What are the coordinates of point M on the graph below?
Point M has coordinates (1, 6) as it is located at x = 1 and y = 6 on the graph.
23. Which point is located at coordinates (6, 4)?
Point I is located at coordinates (6, 4) as shown on the graph.
24. What are the coordinates of point N on the graph below?
Point N has coordinates (8, 2) as it is located at x = 8 and y = 2 on the graph.
25. Which point is located at coordinates (5, 6)?
Point E is located at coordinates (5, 6) as shown on the graph.
26. What are the coordinates of point A in the Cartesian plane?
In the Cartesian plane, the coordinates of a point are written as (x, y). Point A has coordinates (3, 2) where 3 represents the x-coordinate and 2 represents the y-coordinate.
27. Which quadrant does point B(4, -5) lie in?
Point B(4, -5) has positive x-coordinate and negative y-coordinate, placing it in Quadrant IV of the Cartesian plane.
28. What is the midpoint of the line segment joining points P(2, 6) and Q(8, 10)?
To find the midpoint, average the x-coordinates and y-coordinates separately. Midpoint = ((2+8)/2, (6+10)/2) = (5, 8).
29. If point R lies on the y-axis, what is the x-coordinate of point R?
Points on the y-axis have an x-coordinate of 0. Therefore, the x-coordinate of point R lying on the y-axis is 0.
30. Which of the following points lies on the line y = 3x - 2?
Substitute x = 2 into the equation y = 3x - 2 to find the y-coordinate. y = 3(2) - 2 = 6 - 2 = 4. Therefore, point (2, 4) lies on the line.
31. If point S(5, -3) is reflected over the x-axis, what are the new coordinates?
When a point is reflected over the x-axis, the x-coordinate remains the same while the sign of the y-coordinate changes. Therefore, the new coordinates are (5, 3).
32. What is the distance between points A(-1, 2) and B(3, 4)?
Use the distance formula: sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((3 + 1)^2 + (4 - 2)^2) = sqrt(4 + 4) = sqrt(8) = 2sqrt(2) ≈ 2.83 ≈ 3.
33. Which point is the intersection of the lines y = 2x - 1 and y = -3x + 5?
Solve the system of equations y = 2x - 1 and y = -3x + 5 simultaneously to find the intersection point. x = 2, y = 3. Therefore, point (2, 3) is the intersection point.
34. The point (-3, 5) lies in which quadrant?
The x-coordinate (-3) is negative, and the y-coordinate (5) is positive, placing the point in Quadrant II of the Cartesian plane.
35. What are the coordinates of the origin in the Cartesian plane?
The origin has coordinates (0, 0) in the Cartesian plane, where both the x-coordinate and the y-coordinate are zero.
36. Which point is equidistant from the points A(2, 4) and B(6, 8)?
To find the point equidistant from two points, find the midpoint of the line segment joining the two points. Midpoint = ((2+6)/2, (4+8)/2) = (4, 6). Therefore, point (4, 6) is equidistant from A and B.
37. If point T(7, -2) is reflected over the y-axis, what are the new coordinates?
When a point is reflected over the y-axis, the y-coordinate remains the same while the sign of the x-coordinate changes. Therefore, the new coordinates are (-7, -2).
38. Given the points A(3, 4), B(-1, 2), and C(6, 5), which point lies on the line that passes through A and B?
Check which point satisfies the equation of the line passing through A(3, 4) and B(-1, 2). Substitute the coordinates into the equation y = mx + c and verify which point lies on the line.
39. Which of the following points does not lie on the line y = -2x + 3?
Substitute each point's coordinates into the equation y = -2x + 3 to determine which point lies on the line.
40. If point G(-4, 5) is rotated 90 degrees clockwise about the origin, what are the new coordinates?
To rotate a point 90 degrees clockwise about the origin, swap its coordinates and negate the new x-coordinate. Therefore, the new coordinates are (-5, -4).
41. In which quadrant does point H(-2, -3) lie?
The x-coordinate (-2) is negative, and the y-coordinate (-3) is negative, placing the point in Quadrant III of the Cartesian plane.
42. What is the equation of the line passing through points F(3, 4) and G(5, -1)?
To find the equation of the line passing through two points, calculate the slope and use one of the points to find the y-intercept using the equation y = mx + c.
43. Which of the following points lies on the y-axis?
Points on the y-axis have an x-coordinate of 0. Therefore, point (-4, 0) lies on the y-axis.
44. If point J(1, -5) is reflected over the x-axis, what are the new coordinates?
When a point is reflected over the x-axis, the x-coordinate remains the same while the sign of the y-coordinate changes. Therefore, the new coordinates are (1, 5).
45. What is the equation of the perpendicular bisector of the line segment joining points P(1, 2) and Q(5, 8)?
To find the equation of the perpendicular bisector, first calculate the midpoint of the line segment and then determine the negative reciprocal of the slope of the line passing through P and Q.
46. If point K(4, -3) is translated 3 units to the left and 5 units down, what are the new coordinates?
To translate a point, add or subtract values to the x and y coordinates. After translating 3 units left and 5 units down, the new coordinates are (4-3, -3-5) = (1, -8).
47. What is the slope of a line parallel to the line passing through points M(2, -3) and N(5, 4)?
Parallel lines have the same slope. Calculate the slope of the line passing through M and N, which is (4 - (-3)) / (5 - 2) = 7 / 3. Therefore, a line parallel to this has a slope of 7 / 3.