Question

what could be stated as true based on this diagram? (1 point)
∠bac is congruent to ∠eba
∠dba is congruent to ∠bac
∠ebd is perpendicular to ec
∠abc is congruent to ∠abd

Explanation:

Step1: Recall alternate - interior angles property

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. In the given diagram, assume \(DC\parallel AB\) (not explicitly stated but based on angle - relationship context). \(\angle DBA\) and \(\angle BAC\) are alternate - interior angles.

Step2: Analyze each option

• For \(\angle BAC\) and \(\angle EBA\), there is no indication of congruence based on parallel - line properties or other geometric relationships shown.
• For \(\angle DBA\) and \(\angle BAC\), as they are alternate - interior angles (assuming \(DC\parallel AB\)), they are congruent.
• For \(\angle EBD\) and \(\overline{EC}\), there is no right - angle symbol or other indication of perpendicularity.
• For \(\angle ABC\) and \(\angle ABD\), there is no indication of congruence.

Answer:

\(\angle DBA\) is congruent to \(\angle BAC\)