The Midpoint Theorem — O/L Mathematics

How do I practise The Midpoint Theorem?

1 question with a worked solution

1. In triangle ABC, D is the midpoint of AB and E is the midpoint of AC. If the length of BC is 18 cm, what is the length of DE?
   1. A) 9 cm
   2. B) 6 cm
   3. C) 12 cm
   4. D) 18 cm
   Check my answer

   Correct answer: A) 9 cm

   By the Midpoint Theorem, the line segment joining the midpoints of two sides of a triangle is parallel to the third side and equal to half of its length: DE = 1/2 × BC = 1/2 × 18 = 9 cm.

   Show worked solution

   Step 1: State midpoint theorem: Segment connecting midpoints of two sides is parallel to the 3rd side and half its length. Step 2: DE = 1/2 × BC. Step 3: DE = 1/2 × 18 = 9 cm. Answer: 9 cm.
   Modelled on: the O/L Mathematics examination pattern

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Where does The Midpoint Theorem fit in the syllabus?

Grade 11 · Term 2