segment $\overline{ab}$ is the result of reflecting $\overline{ab}$ across line $\boldsymbol{\ell}$.

select all of the correct statements about the unchanged properties of $\overline{ab}$ and $\overline{ab}$.

choose all answers that apply:
$\boldsymbol{\square}$ $\overline{ab}$ and $\overline{ab}$ have the same lengths.
$\boldsymbol{\square}$ $b$ and $b$ have the same coordinates.
$\boldsymbol{\square}$ none of the above

Question

segment $\overline{ab}$ is the result of reflecting $\overline{ab}$ across line $\boldsymbol{\ell}$.

select all of the correct statements about the unchanged properties of $\overline{ab}$ and $\overline{ab}$.

choose all answers that apply:
$\boldsymbol{\square}$ $\overline{ab}$ and $\overline{ab}$ have the same lengths.
$\boldsymbol{\square}$ $b$ and $b$ have the same coordinates.
$\boldsymbol{\square}$ none of the above

Accepted Answer

# Brief Explanations:
- For option A: A reflection is a rigid transformation, which means it preserves the length of segments. So, the length of $\overline{AB}$ and $\overline{A'B'}$ should be the same.
- For option B: Reflecting a point across a line changes its coordinates (unless the point is on the line of reflection). Since $B$ is not on line $\ell$, $B$ and $B'$ will have different coordinates.
- Option C is incorrect because option A is correct.

# Answer:
A. $\overline{AB}$ and $\overline{A'B'}$ have the same lengths.

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