Which construction is illustrated above?
a perpendicular to a given line at a point on the line
an angle congruent to a given angle
the bisector of an angle
a line segment congruent to a given line segment

A line or ray is said to be an angle bisector if it bisects or divides an angle into two equal angles. These angles will be congruent as they are equal.

Consider a line MB bisects the angle ∠ABC, as shown

in attached figure (a).

This line MB bisects the angle ∠ABC into two equal angles i.e. the angle ∠ABM and the angle ∠CBM.

The angles ∠ABM and ∠CBM are congruent.

In other words, m∠ABM = m∠CBM .

So, "the bisector of an angle" would be the correct option as this line MB bisects the angle ∠ABC into two equal angles i.e. the angle ∠ABM and the angle ∠CBM.

Keywords: angle, congruent angle, bisector of an angle

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Which construction is illustrated above? a perpendicular to a given line at a point on the line an angle congruent to a given angle the bisector of an angle a line segment congruent to a given line segment

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Which construction is illustrated above?
a perpendicular to a given line at a point on the line
an angle congruent to a given angle
the bisector of an angle
a line segment congruent to a given line segment