Question

think of each segment in the diagram as part of a line. all the angles are right angles. which line(s) contain(s) point b and appear to be perpendicular to \\( \overleftrightarrow { c d } \\)?

Explanation:

Step1: Recall the definition of perpendicular lines

Perpendicular lines intersect at a right - angle (\(90^{\circ}\)).

Step2: Analyze each line

• For \(\overleftrightarrow{AB}\):

Since all angles are right - angles, \(\overleftrightarrow{AB}\) is perpendicular to \(\overleftrightarrow{CD}\) (they intersect at a right - angle).

• For \(\overleftrightarrow{AE}\):

\(\overleftrightarrow{AE}\) is not perpendicular to \(\overleftrightarrow{CD}\) (they are not in a position to form a right - angle).

• For \(\overleftrightarrow{BC}\):

\(\overleftrightarrow{BC}\) is parallel to \(\overleftrightarrow{CD}\) (not perpendicular).

• For \(\overleftrightarrow{BF}\):

\(\overleftrightarrow{BF}\) is not perpendicular to \(\overleftrightarrow{CD}\) (they are not in a position to form a right - angle).

Answer:

\(\overleftrightarrow{AB}\)