← Lesson📄 Worksheet✅ Memo📝 Exam test🗝️ Marking guide
∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 12 · Euclidean Geometry
Proportionality & Similarity Theorems (Grade 12)
WORKSHEET
Name: 
Class: 
Date: 
Mark
  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    In △ABC below, DE ∥ BC. Write down the proportion that follows, with a reason.
    (2)
    ABCDEADDBAEECDE ∥ BC
  2. 2
    DE ∥ BC with AD = 4, DB = 6 and AE = 5. Calculate EC.
    (2)
    ABCDEADDBAEECDE ∥ BC
  3. 3
    In △ABC below with DE ∥ BC, prove that △ADE ||| △ABC.
    (2)
    ABCDEADDBAEECDE ∥ BC
  4. 4
    If AD = 4 and DB = 6, write down the length of AB.
    (2)
  5. 5
    How many pairs of equal angles must you prove for AAA?
    (2)
  6. 6
    △ABC ||| △DEF with AB = 8, DE = 12 and BC = 10. Calculate EF.
    (2)
  7. 7
    State the reason you must quote when using the proportion theorem.
    (2)
  8. 8
    Two triangles are equiangular. What can you conclude?
    (2)
TOTAL: 16 marks
© Danemathics — free to print and share for classroom use.danemathics.com

Printing this sheet

  1. In the print dialog open More settings and untick “Headers and footers” — that is what prints the date, time and web address in the margin.
  2. Leave Pages per sheet on 1 so learners keep the full writing space.
  3. Choose Save as PDF as the destination to download it instead of printing.