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vodomira [7]
3 years ago
9

Name two different ways to construct congruent angles

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

A first way is considering opposite angles:

  • Pick a point, O
  • Draw two rays r,s starting from O
  • Let \alpha be the angle between r and s
  • Elongate both r and s with respect to O to obtain the rays r' and s'
  • The angle between r' and s' is also \alpha

Alternatively, you can start with a given angle, and then draw its bisector. By definition, the bisector cuts a given angle in two equal parts, so you divide an angle \alpha in two parts, both measuring \frac{\alpha}{2}

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