circle d is shown with the measures of the minor arcs. which segments are congruent? o eh and ef o gh and fe…

circle d is shown with the measures of the minor arcs. which segments are congruent? o eh and ef o gh and fe o fg and eh o ef and gf

circle d is shown with the measures of the minor arcs. which segments are congruent? o eh and ef o gh and fe o fg and eh o ef and gf

Answer

Explanation:

Step1: Recall arc - chord relationship

In a circle, congruent minor arcs have congruent chords.

Step2: Identify congruent arcs

Arc $\overset{\frown}{EH}$ and arc $\overset{\frown}{FG}$ both measure $65^{\circ}$, and arc $\overset{\frown}{EF}$ and arc $\overset{\frown}{HG}$ both measure $115^{\circ}$.

Step3: Determine congruent chords

Chords corresponding to congruent arcs are congruent. So, $\overline{FG}$ and $\overline{EH}$ are congruent.

Answer:

$\overline{FG}$ and $\overline{EH}$