Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Matrices
  • Complex Numbers
  • Financial Mathematics
  • Cartesian plane & lines
  • Function Theory
  • Modelling
  • Transformations & asymptotes
  • 2D & 3D Geometry
  • Voronoi Diagrams
  • Trig equations & identities
  • Vectors
  • Graph Theory
  • Probability
  • Descriptive Statistics
  • Bivariate Statistics
  • Distributions & Random Variables
  • Inference & Hypotheses
  • Differentiation
  • Integration
  • Differential Equations
Other
  • Review Videos
  • Formula Booklet
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AIHL
    /
    Cartesian plane & lines
    /

    Problem Bank

    [Maximum mark: 13]

    Consider the triangle with vertices ​A(3,−5), ​B(1,3)​ and ​C(−5,1).

    Powered by Desmos

    1. Find the midpoint of

      (i) ​[AB]​

      (ii) ​[AC]​

      (iii) ​[BC]​

      [4]

      To earn a crown, get your answer ready before you reveal the options!

    The line segment between a vertex of a triangle and the midpoint of the opposite side is called a median.

    1. Show that the ​3​ medians of triangle ​ABC​ intersect at a point.

      [9]

    Ask Plex AI about this problem

    Get hints, ask questions, and work through this problem step by step

    I'm Plex, here to help with problems on this worksheet!