Jagathapu, Kasi Rao
(2018)
Bisecting an angle
using a ruler.
At Right Angles, 7 (2).
pp. 30-32.
ISSN 2582-1873
Abstract
ere is a simple way to bisect a given angle using the
simplest and most familiar geometrical instrument: a
ruler (see Figure 1). It works for any angle other than a
straight angle (i.e., a 180 o angle).
While the procedure is simple to carry out, justifying it using the theorems of geometry may prove challenging to some students. Here is the method. Given ∡ABC with vertex B, place the ruler so that one edge is aligned along ray BA and the opposite edge overlaps with the given angle. Using a pencil, draw a line m along the other edge; see Figure 2 (a). (For the vertex and line labels, please look at Figure 3; it depicts the construction schematically.)
Next, place the ruler so that one edge is aligned along ray BC and the other edge overlaps with the given angle; draw a line n along
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