Coordinate Geometry

Coordinate Geometry Quiz

Cambridge IGCSE Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. What is the distance between the points (0,0)(0,0) and (6,8)(6,8)?

    • A. 10
    • B. 14
    • C. 8
    • D. 12

  2. 2. What is the midpoint of (−2,4)(-2, 4) and (6,−2)(6, -2)?

    • A. (2,1)(2, 1)
    • B. (4,2)(4, 2)
    • C. (2,3)(2, 3)
    • D. (−1,1)(-1, 1)

  3. 3. Which formula correctly finds the length of a line segment?

    • A. (x2−x1)+(y2−y1)(x_2-x_1)+(y_2-y_1)
    • B. (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    • C. (x2−x1)2+(y2−y1)2(x_2-x_1)^2+(y_2-y_1)^2
    • D. (x2+x1)2+(y2+y1)2\sqrt{(x_2+x_1)^2+(y_2+y_1)^2}

  4. 4. M(3,5)M(3,5) is the midpoint of A(1,2)A(1,2) and BB. What are the coordinates of BB?

    • A. (5,8)(5,8)
    • B. (2,3.5)(2,3.5)
    • C. (4,7)(4,7)
    • D. (6,10)(6,10)

  5. 5. Points A(0,1)A(0,1), B(2,5)B(2,5) and C(4,9)C(4,9) are given. Are they collinear, and why?

    • A. No, because the distances are unequal
    • B. Yes, because the gradient between each pair is 2
    • C. No, because the midpoints differ
    • D. Yes, because all yy-coordinates are positive

Quiz