Question

Mere started with AB¯¯¯¯¯¯¯¯ on her paper. She folded her paper so that point A was on top of point B. Then, she unfolded her paper and labeled the intersection of the fold and the line segment with point C. Finally, she used a straight edge to draw GF←→ at an arbitrary angle through point C. What term best describes GF←→ ? (1 point) Responses line segment bisector line segment bisector midpoint of a line midpoint of a line angle bisector angle bisector perpendicular bisector perpendicular bisector

Answer 1

The best term to describe \( \overleftrightarrow{GF} \) in this context is angle bisector.

Here's why: When Mere folded the paper so that point A was on top of point B, the fold creates an angle at point C where each side of the angle would be along the lines connecting C to A and C to B. The line \( \overleftrightarrow{GF} \) drawn through point C at an arbitrary angle would create angles on either side of it. If \( \overleftrightarrow{GF} \) divides this angle into two equal angles, then it is indeed functioning as an angle bisector.

If you were looking for terminology regarding a fold that intersects a line segment specifically, other terms might apply, but in the context provided, an angle bisector is the most relevant term.