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
angle bisector
angle bisector
midpoint
midpoint
an arc
an arc
segment bisector
1 answer
The term that best describes segment \( QC \) is angle bisector.
In this construction, segment \( QC \) is the segment drawn from the vertex point \( Q \) to the point \( C \), which is located at the intersection of the two smaller arcs drawn from points \( A \) and \( B \). These arcs were drawn in a way that divides the angle into two equal parts, thus making \( QC \) the angle bisector of angle \( PQR \).
1 answer
1 answer
1 answer
1 answer