Question

Use the image to answer the question.

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

an arc
an arc

segment bisector
segment bisector

angle bisector
angle bisector

Answer 1

The term that best describes segment \( QC \) is **angle bisector**.

This is because segment \( QC \) is drawn from the vertex \( Q \) of the angle and intersects the interior of the angle at point \( C \), which is determined by the intersection of arcs drawn from points \( A \) and \( B \) marking the sides of the angle. The drawing of arcs that intersect at \( C \) indicates that \( QC \) divides the angle formed by segments \( QP \) and \( QR \) into two equal angles.