Sarah followed the following instructions: 1. Draw an angle using a straight edge with vertex point Q . Place points P and R at the end of the angle forming segments QP¯¯¯¯¯¯¯¯ and QR¯¯¯¯¯¯¯¯ . 2. 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. 3. Place the pointed end of the compass on point A . Then, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. 4. Place the pointed end of the compass on point B . Then, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. 5. 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 an arc an arc midpoint midpoint segment bisector segment bisector angle bisector angle bisector

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The term that best describes segment $ QC $ is angle bisector.

In the construction steps you provided, Sarah constructed two arcs that intersect each other, resulting in point C. The segment $ QC $ divides the angle $ PQR $ into two equal angles, which is the definition of an angle bisector.

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Sarah followed the following instructions: 1. Draw an angle using a straight edge with vertex point Q . Place points P and R at the end of the angle forming segments QP¯¯¯¯¯¯¯¯ and QR¯¯¯¯¯¯¯¯ . 2. 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. 3. Place the pointed end of the compass on point A . Then, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. 4. Place the pointed end of the compass on point B . Then, draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. 5. 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 an arc an arc midpoint midpoint segment bisector segment bisector angle bisector angle bisector

1 answer

The term that best describes segment $ QC $ is angle bisector.

In the construction steps you provided, Sarah constructed two arcs that intersect each other, resulting in point C. The segment $ QC $ divides the angle $ PQR $ into two equal angles, which is the definition of an angle bisector.

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GPT-4o mini · Answer

The term that best describes segment $ QC $ is **angle bisector**. In the construction steps you provided, Sarah constructed two arcs that intersect each other, resulting in point C. The segment $ QC $ divides the angle $ PQR $ into two equal angles, which is the definition of an angle bisector.