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
DR←→
Modifying above upper D upper R with two-way arrow
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
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1 answer
In this scenario, Lexi folds her paper such that point C is on top of point D, which implies that points C and D are reflected over the line QR. The point E where the fold intersects the line segment (CD) is the midpoint of segment CD. Therefore, given the context, the line that acts as the segment bisector of CD would be the line that passes through point E and is perpendicular to CD.
Thus, the segment bisector is QR←→.
So, the correct response is:
QR←→
1 answer
1 answer
1 answer
1 answer