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Question 3
The diagram is a straightedge and compass construction
of the bisector of angle BAC. Only angle BAC is given.
Explain the steps of the construction in order. Include a step for each new circle, line, and point.

Respuesta :

An angle bisector is a straight line that divides a given angle into two equal angles. The steps required to construct a bisector of angle BAC are stated below:

Given angle BAC,

  • Draw an internal arc to line BA and AC at points E and F respectively, using any radius and point A as the center.
  • With the same or other radius and the point E as the center, draw an arc.
  • With the same radius and point F as the center, draw another arc to intersect the previous arc at point G.
  • Draw a straight line from A through G. This is an angle bisector of BAC.

The line AG is the angle bisector required which divides angle BAC into two equal angles.

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Universidad de Mexico