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 which answer is correct cd or qr
CD¯¯¯¯¯¯¯¯
Modifying above upper C upper D with bar
QR←→
Modifying above upper Q upper R with two-way arrow
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1 answer
In the scenario described, Lexi folds her paper so that point C is on top of point D, creating a crease at point E. This fold indicates that CE is equal to DE since folds create segments that are congruent. Therefore, the segment that bisects CD is the line QR, which is drawn through point E.
Since QR is not specifically bound to the segment CD and cuts through point E (the midpoint created by the fold), it would function as a segment bisector for the segment CD.
So, the correct answer is QR←→.
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