Question

identify two segments that are marked congruent to each other on the diagram below. (diagram is not to scale.)

Explanation:

Step1: Recall congruent segment notation

In geometric diagrams, a single tick mark on two segments indicates they are congruent.

Step2: Identify segments with same tick

Looking at the diagram, segment \( GJ \) (or \( JG \)) and segment \( KD \) (or \( DK \)) have the same tick mark, so they are congruent. Also, segments \( FE \) and \( HI \) have the same double - arrow (parallel and congruent in some cases, but here for congruent length) notation, so \( FE\cong HI \). Another pair: the segments with the single tick, say \( GJ \) and \( DK \) (or other notation based on the diagram's labeling of the segments with the same tick). A common pair from the tick marks: \( GJ \) and \( DK \) (or \( JG \) and \( KD \)) or \( FE \) and \( HI \). Let's take the ones with the single tick: the segment from \( G \) to \( J \) and from \( K \) to \( D \) (assuming \( J \) and \( K \) are mid - points or marked with same tick) or the parallel - marked segments \( FE \) and \( HI \). The most straightforward from tick marks (single tick) are \( GJ \) and \( DK \) (or \( JG \) and \( KD \)) or the parallel - arrowed ones \( FE \) and \( HI \). Let's confirm: the single tick on \( GJ \) (part of \( GI \) maybe) and \( KD \) (part of \( ED \) maybe) shows congruence. Also, \( FE \) and \( HI \) have the same double - arrow, so they are congruent.

Answer:

\( FE \cong HI \) (or \( GJ \cong DK \), either pair is correct based on diagram markings)