The term that best describes segment \( QC \) is angle bisector.
This is because segment \( QC \) divides the angle \( \angle PQR \) into two smaller angles of equal measure, which is the definition of an angle bisector.
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
angle bisector
angle bisector
midpoint
midpoint
an arc
an arc
segment bisector
1 answer
The term that best describes segment \( QC \) is angle bisector.
This is because segment \( QC \) divides the angle \( \angle PQR \) into two smaller angles of equal measure, which is the definition of an angle bisector.