Sectieoverzicht

  • Shapes that are similar look the same but differ in size while congruent figures have the same shape and the same size. 

    Note: all congruent triangles are similar but not all similar triangles are congruent

    In similar triangles the corresponding angles are equal and the corresponding sides are in proportion.

    The next video shows what it means for triangles to be similar and discusses the basic facts you need to know about similar triangles. 

    • Leerlingen moeten
      Als voltooid aanduiden

      Order matters

      We use the symbol \(|||\) or \(\sim\) to show that shapes are similar. If \(∆XYZ\) is similar to \(∆PQR\), then we write: \(∆XYZ |||∆PQR\) or \(∆XYZ\sim∆PQR\).

      The order of the letters in the notation of similar triangles indicates which angles and sides are equal and it is extremely important to name the triangles using the correct vertex order.

      Given that \(∆XYZ|||∆PQR\) this would them imply that:

      Angles: \(X=P\) and \(Y=Q\) and \(Z=R\) 

      Sides: \(\frac{XY}{PQ}=\frac{XZ}{PR}=\frac{YZ}{QR}\)

      If the triangles’ vertices were written in a different order, then the statements above would not be true.


    • Notation used in similarity Test
      Leerlingen moeten
      Als voltooid aanduiden
    • Similar or congruent? H5P
      Leerlingen moeten
      Als voltooid aanduiden