Question

segment addition
drag each statement to the correct category
statement 1: $overleftrightarrow{ac}$ and $overleftrightarrow{ab}$
statement 2: $overleftrightarrow{cd}$ and $overleftrightarrow{ab}$
statement 3: $overleftrightarrow{bd}$ and $overleftrightarrow{ca}$
statement 4: $overleftrightarrow{ab}$ and $overleftrightarrow{bd}$
parallel perpendicular
possible answers
statement 3 statement 4 statement 2 statement 1

Explanation:

Step1: Identify segment relationships

Assuming a coordinate setup with AB horizontal (slope 0). CD, if horizontal (slope 0), is parallel to AB. AB (slope 0) and vertical BD (undefined slope) are perpendicular.

Step2: Categorize statements

Statement2 (CD & AB): Parallel. Statement4 (AB & BD): Perpendicular. Others: Neither.

Answer:

Parallel: Statement2: $\overline{CD}$ and $\overline{AB}$
Perpendicular: Statement4: $\overline{AB}$ and $\overline{BD}$