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¯¯¯¯¯¯¯¯ ?

Question

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¯¯¯¯¯¯¯¯ ?

Options

an arc

angle bisector

midpoint

segment bisector

Answer 1

The term that best describes segment QC¯¯¯¯¯¯¯¯ is segment bisector.

Answer 2

The term that best describes segment QC is "segment bisector".

Answer 3

Segment QC¯¯¯¯¯¯¯¯ is best described as a segment bisector.

To understand why, let's break down the instructions. The first step is to draw an angle with vertex point Q and segments QP¯¯¯¯¯¯¯¯ and QR¯¯¯¯¯¯¯¯. Then, using a compass, we draw an arc that intersects both sides of the angle, resulting in two points of intersection, A and B.

Next, we place the pointed end of the compass on point A and draw a smaller arc inside the angle, extending more than halfway across the inside. Similarly, we do the same with point B, drawing another smaller arc inside the angle.

The point of intersection between these two smaller arcs is labeled as point C. Finally, we draw a segment from the vertex point Q to point C, resulting in segment QC¯¯¯¯¯¯¯¯.

Segment QC¯¯¯¯¯¯¯¯ is considered a segment bisector because it divides the angle into two equal parts. In this case, it divides the angle into two congruent angles. A segment bisector is a line or line segment that divides another line segment into two equal parts. In this case, segment QC¯¯¯¯¯¯¯¯ is dividing the angle into two equal parts, thus it is a segment bisector.

Therefore, the correct term that best describes segment QC¯¯¯¯¯¯¯¯ is "segment bisector".