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
segment bisector
segment bisector
an arc
an arc
midpoint
midpoint
angle bisector
1 answer
The term that best describes segment \( QC \) is angle bisector.
In the construction described, segment \( QC \) is drawn from the vertex \( Q \) to the point \( C \), which is located at the intersection of the two arcs created from points \( A \) and \( B \). This indicates that \( QC \) divides the angle formed by segments \( QP \) and \( QR \) into two equal parts, fulfilling the definition of an angle bisector.
