Question

4 of 154 of 15 Items Question Use the image to answer the question. 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 CD¯¯¯¯¯¯¯¯ Modifying above upper C upper D with bar DR←→ Modifying above upper D upper R with two-way arrow CR←→ Modifying above upper C upper R with two-way arrow QR←→

Answer 1

In the scenario described, Lexi folded her paper such that point C aligns with point D, which means that the fold creates a segment which bisects segment CD¯¯¯¯¯¯¯¯. After unfolding, point E is placed where the fold intersects segment CD.

Since segment E represents the midpoint of line segment CD after folding, the line that would be the segment bisector is the line segment that lies along the original fold. When she drew the line segments CR←→ and DR←→ through points C and R and D and R respectively, these lines do not represent the bisector linear fold but instead connect point R with points C and D.

Therefore, the answer to which line segment or line is the segment bisector in this scenario is:

CD¯¯¯¯¯¯¯¯

This is because the fold that intersects CD correlates to point E, making CD the original segment being bisected at E.

Answer 2

Are you sure?

Answer 3

Let's clarify the situation based on your description.

1. Lexi started with segment \( CD \).
2. She folded the paper such that point \( C \) was on top of point \( D \), creating a fold line that bisects the segment \( CD \).
3. Point \( E \) is where the fold intersects segment \( CD \), meaning \( E \) is the midpoint of segment \( CD \).
4. She then drew line \( QR \) at an angle through point \( E \).
5. Additionally, line segments \( CR \) and \( DR \) were drawn through points \( C \) and \( D \) respectively.

Given this:

• The segment bisector of \( CD \) is defined as the line that cuts \( CD \) into two equal parts at the midpoint, which is point \( E \).

Thus, considering the above information, the line that serves as the segment bisector is not necessarily line \( CD \) itself, but the fold line represented by the segment or line that goes through point \( E \) perpendicular to segment \( CD \).

Since that was not explicitly mentioned, and since the segment \( CD \) is bisected by that fold, my previous assumption regarding \( CD \) as the bisector might have been misleading in wording.

If the question is specifically asking for the bisector itself based on the fold described, then the line that represents the fold (which includes point \( E \)) is the actual segment bisector, rather than solely stating \( CD \).

If given multiple choices:

• The answer would depend on the specific options available regarding the fold or the mention of point \( E \) as part of defining that line segment.

Thus, if you're looking for more specificity, the line that goes through point \( E \) and is perpendicular to \( CD \) is indeed the segment bisector, though it may not be explicitly listed in the options you've provided.

Please verify if the options clarify this point or if a better explanation is needed regarding \( CR \), \( DR \), or \( QR \) for their relationships back to the fold line segment you've described.

Answer 4

So the answer would be

Answer 5

Given the context you've provided and the descriptions involved, the correct answer concerning which line segment or line is the segment bisector in the scenario is:

DR←→ Modifying above upper D upper R with two-way arrow (if it denotes the line segment through point E)

However, if “the segment bisector” refers specifically to the fold line created when \(C\) was folded onto \(D\), it would be best interpreted as the line that bisects \(CD\), which corresponds to the fold that intersects \(E\).

If none of the options exactly names the fold per your details, it seems inferred that the specific choice would depend on where the options fit. If \( QR \) was drawn and connects through \( E \), that would also be a bisector if it goes through the midpoint \( E \) as well.

Choose the option that best reflects the fold line through \( E \), as that represents the true segment bisector of \( CD \).

If it must strictly select from your initial mention and aligns best with the information about the fold as conceptualized through \( CD \) towards point \( E \)-- then:

CD¯¯¯¯¯¯¯¯ (if it is considered with the fold's implications through the definition of \( E \) in your scenario).

Or simply express your thoughts to the option that represents the relationship to the fold corresponding to point \( E \).

Ultimately, the best answer to represent a segment bisector among given options is: Line through point E (based on the options you have). If there's confusion about the provided options regarding this point or how they correlate, clarifying that might help refine the answer even more accurately.