A scalene triangle with its base oriented nearly vertical is formed by the intersection of two lines and a line segment. A third line slopes upward from left to right and passes through the base of the triangle and its apex.
Lexi started with CD¯¯¯¯¯¯¯¯ on her paper. She folded her paper so that point C was on top of point D . Then, she unfolded her paper and labeled the intersection of the fold and the line segment with point E . She used a straight edge to draw QR←→ at an arbitrary angle through point E . Finally, she drew CR←→ through points C and R and DR←→ through points D and R . Which line segment or line is the segment bisector in this scenario?
(1 point)
Responses
CR←→
Modifying above upper C upper R with two-way arrow
CD¯¯¯¯¯¯¯¯
Modifying above upper C upper D with bar
QR←→
Modifying above upper Q upper R with two-way arrow
DR←→
1 answer
In this scenario, Lexi folded the paper so that point C was on top of point D, creating a fold line that intersects the segment CD. The intersection point E is where the fold crosses the segment CD.
Since folding the paper in this way creates two equal halves, the fold line acts as the angle bisector of the segment CD, meaning it divides CD into two equal parts. Therefore, the correct segment that acts as the bisector in this scenario is:
CD¯¯¯¯¯¯¯¯
