The Mid-Point Theorem (Grade 10 NSC Matric Mathematics): Flashcards

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The Mid-Point Theorem
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Mid-point theorem: two properties

Parallel to 3rd side AND half its length

If DEDE joins mid-points, relation to BCBC

DE∥BCDE \parallel BC and DE=12BCDE = \frac{1}{2}BC

Mid-point theorem: parallel relationship

Line joining mid-points is parallel to 3rd side

Mid-point theorem: length relationship

Line joining mid-points is half length of 3rd side

Types of triangles mid-point theorem applies to

All triangles: scalene, isosceles, equilateral

Converse of mid-point theorem

Line thru mid-point parallel to 2nd side bisects 3rd side

Similar triangle ratio from mid-point theorem

1:2

Proof methods used for mid-point theorem

Congruent triangles and parallelogram properties

What 'bisect' means in converse mid-point theorem

Passes through mid-point of third side

When stating mid-point theorem in exams

State BOTH parallel and half length properties

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