We can conclude that [tex]\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }[/tex]. Option (A) is correct.
Further Explanation:
Given:
The options are as follows,
A. [tex]\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}}.[/tex]
B. [tex]\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{EF}}}.[/tex]
C. [tex]\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{AB}}}.[/tex]
D. [tex]\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OC}}}.[/tex]
Explanation:
The length of AB and EF is [tex]9.07{\text{ units}}.[/tex]
AB and EF are the chords of the circle with same length.
OB and OD are the perpendicular bisector of the chords AB and EF respectively.
The given chords of the circle are equidistant from the center of the circle.
We can conclude that [tex]\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }[/tex]. Option (A) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Line and Rays
Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant,
