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Construction of the bisector of the angle

Lecture








  Construction of the bisector of the angle

Build a bisector of this angle.

Decision

  Construction of the bisector of the angle

From the vertex A of this angle, as from the center, we describe a circle of arbitrary radius r. Let B and C be the points of its intersection with the sides of the angle.

  Construction of the bisector of the angle

From points B and C we draw circles with the same radius r. Let point D be their intersection point different from A.

  Construction of the bisector of the angle

We will hold the beam AD.

  Construction of the bisector of the angle

Conduct the segments BD and CD. Δ ABD = Δ ACD, on the third sign of equality of triangles. Hence, ∠ BAD = ∠ CAD and therefore AD is the bisector of the angle BAC.

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Planometry

Terms: Planometry