Geometry Basics Unit Test

Question

4 of 154 of 15 Items

Question
Use the image to answer the question.

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¯¯¯¯¯¯¯¯

Answer 1

In this scenario, Lexi folded her paper such that point C was brought over to point D, which means that the fold creates a line segment that is equidistant from both points C and D. This fold effectively acts as a line of reflection or symmetry, which is a key characteristic of a segment bisector.

The segment bisector of a line segment is the line that divides that segment into two equal parts. In this case, since Lexi folded her paper with CD as the original line segment, the line that reflects this fold - the one that bisects CD - is the line that runs through points E (the intersection) and is perpendicular to the line segment CD.

Given the options, the segment CD is the line that is bisected by the fold because the fold results in equal segments from C to the fold point E and from D to the fold point E.

Therefore, the correct response is:

CD¯¯¯¯¯¯¯¯