WEBVTT
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What does the following figure illustrate?
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Is it A) a bisector of an angle, B) an angle congruent to another angle, C) a perpendicular from a point lying outside a straight line, D) a straight line parallel to another line, or E) a bisector of a line segment.
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As our two lines 𝐴𝐵 and 𝐵𝐶 are neither perpendicular nor parallel, we can immediately rule out options C, D, and E.
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Once there are two congruent or equal angles 𝐴𝐵𝐷 and 𝐷𝐵𝐶, the figure illustrates the bisector of the angle 𝐴𝐵𝐶.
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This can be drawn using a pair of compasses.
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We place our compass point at point 𝐵 and draw the arc from 𝑃 to 𝑄.
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We then place our compass point at point 𝑃 and draw an arc.
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We place our compass point at point 𝑄 and draw an equal-length arc.
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The point at which these two arcs intersect is point 𝑅.
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Drawing a straight line from 𝐵 to 𝑅 bisects the angle 𝐴𝐵𝐶.