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Geometric Proof

Geometric Proof. GCSE Higher. Prove that the sum of the angles in a triangle is 180°. We can use previous knowledge of the properties of parallel lines. C. EXTEND the line AB to a point G. E. DRAW line BE parallel to AC. A. B. G. C. E. A. B. G.

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Geometric Proof

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  1. Geometric Proof GCSE Higher

  2. Prove that the sum of the angles in a triangle is 180° We can use previous knowledge of the properties of parallel lines C EXTEND the line AB to a point G E DRAW line BE parallel to AC A B G

  3. C E A B G Prove that the sum of the angles in a triangle is 180° Angles on a straight line <CBA + <CBE + <EBG = 180º <ACB = <CBE Alternate Angles SO <CBA + <ACB + <CAB = 180º <CAB = <EBG Corresponding Angles The Angle Sum of a triangle is 180º

  4. Using this … • …could you prove that the exterior angle of a triangle is equal to the sum of the two opposite interior angles?

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