Practice Maths

Topic Review — Coordinate Geometry — Solutions

Click any answer to watch the solution video.

  1. Gradient and equations of lines

    1. Gradient through (2,5) and (6,13):
    2. m=−3, through (1,4):
    3. Through (−1,2) and (3,10):
    4. y=5x−2 and y=5x+7:
    5. Perpendicular to y=1/4x+3:

  2. Intercepts and key features

    1. y=3x−9 intercepts:
    2. Through origin, m=4:
    3. Horizontal through (3,−7):
    4. Vertical through (−5,2):
    5. Through (0,6) parallel to y=−2x+1:

  3. Midpoint and distance

    1. Midpoint of (4,−2) and (8,6):
    2. Distance (0,0) to (8,6):
    3. Distance (−1,3) to (5,−5):
    4. Midpoint (2,5), A(0,3) → B:
    5. Midpoint of (−3,−4) and (7,2):

  4. Combining concepts

    1. AB vs CD parallel:
    2. Perpendicular bisector of P(2,0) and Q(8,4):
    3. Median from C(3,4) to midpoint of AB, A(0,0) B(6,0):
    4. Rhombus PQRS P(1,3) Q(5,5) R(7,1) S(3,−1):

  5. Problem solving

    1. Triangle O(0,0) A(4,0) B(0,3):
    2. Hiker C(2,3) to L(10,9):
    3. Line 1 through (0,5) and (3,−1); Line 2 through (1,4) perpendicular to Line 1: