Coordinate Geometry

Q. Find the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3). (2022) 2022
  • A. 6
  • B. 12
  • C. 8
  • D. 10
Q. Find the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (0, 8). (2022)
  • A. (2, 2)
  • B. (2, 3)
  • C. (3, 2)
  • D. (4, 4)
Q. Find the midpoint of the line segment joining the points (2, 3) and (4, 7). (2022) 2022
  • A. (3, 5)
  • B. (2, 5)
  • C. (4, 5)
  • D. (3, 4)
Q. If the coordinates of point A are (1, 2) and point B are (4, 6), what is the length of AB? (2023)
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. If the coordinates of point C are (5, 5) and point D are (5, 10), what is the length of CD? (2021)
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. If the coordinates of point C are (5, 5) and the slope of the line is 1, what is the equation of the line? (2021) 2021
  • A. y = x
  • B. y = 5
  • C. y = 2x - 5
  • D. y = x + 5
Q. What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)? (2021)
  • A. 12
  • B. 15
  • C. 10
  • D. 8
Q. What is the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6)? (2022)
  • A. (3, 2)
  • B. (2, 3)
  • C. (3, 3)
  • D. (4, 2)
Q. What is the distance between the points (-1, -1) and (2, 3)? (2022) 2022
  • A. 5
  • B. 4
  • C. 6
  • D. 7
Q. What is the distance between the points (-1, -1) and (2, 3)? (2023)
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. What is the distance between the points (3, 4) and (7, 1)? (2021) 2021
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. What is the distance from the point (1, 1) to the line x + y = 2? (2023)
  • A. 1
  • B. 2
  • C. 0
  • D. 3
Q. What is the distance from the point (1, 2) to the line x + y - 3 = 0? (2023)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. What is the distance from the point (1, 2) to the line x + y = 5? (2020)
  • A. 3
  • B. 2
  • C. 1
  • D. 4
Q. What is the distance from the point (3, 4) to the line x + y = 5? (2022)
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. What is the equation of the line passing through (0, 0) and (2, 4)? (2019)
  • A. y = 2x
  • B. y = x
  • C. y = 4x
  • D. y = 3x
Q. What is the equation of the line passing through (2, 3) with a slope of 2? (2021)
  • A. y = 2x - 1
  • B. y = 2x + 1
  • C. y = 2x + 3
  • D. y = 2x - 3
Q. What is the length of the diagonal of a rectangle with vertices at (0, 0), (4, 0), (4, 3), and (0, 3)? (2021)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the length of the diagonal of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4)? (2021)
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. What is the slope of the line passing through the points (1, 2) and (3, 6)? (2020) 2020
  • A. 2
  • B. 3
  • C. 1
  • D. 4
Q. What is the y-intercept of the line 3x - 2y = 6? (2020) 2020
  • A. 3
  • B. 2
  • C. 0
  • D. 1
Q. What is the y-intercept of the line 3x - 4y = 12? (2023)
  • A. 3
  • B. 4
  • C. 0
  • D. 12
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