Three lines diverge from vertex point upper Q. Points marked on the ends of the top and bottom lines are labeled upper P and upper R, respectively. A point marked on the right side of the middle line is labeled upper C.
Arttu followed the following instructions:
Draw an angle using a straightedge with vertex point Q
. Place points P
and R
at the end of the angle forming segments QP¯¯¯¯¯¯¯¯
and QR¯¯¯¯¯¯¯¯
.
Using a compass, draw an arc that intersects both sides of the angle. Place two points, A
and B
, at the intersection of the arc with both sides of the angle.
Placing the pointed end of the compass on point A
, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle.
Placing the pointed end of the compass on point B
, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle.
Place point C
at the intersection of the two smaller arcs and draw a segment from the vertex point Q
to point C
.
What term best describes segment QC¯¯¯¯¯¯¯¯
?
(1 point)
Responses
midpoint
midpoint
segment bisector
segment bisector
an arc
an arc
angle bisector
1 answer
The term that best describes segment \( QC \) is angle bisector.
In the construction you described, segment \( QC \) is the segment that divides the angle formed by \( QP \) and \( QR \) into two equal angles, which is the definition of an angle bisector.
