Question

Fill in the blank. Given O below, you can conclude that AC is congruent to _____.

Answer 1

Answer:

A. DF

Step-by-step explanation:

The length of OB is the same as OE, and the angle that AC makes with OB is the same as the angle DF makes with OE.  This means the length of both chords, AC and DF, must be the same.

Answer 2

We can conclude that $\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }$. Option (A) is correct.

Further Explanation:

Given:

The options are as follows,

A. $\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{DF}}}.$

B. $\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{OB}}}.$

C. $\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{AB}}}.$

D. $\overline {{\text{AC}}} {\text{ is congruent to }}\overline {{\text{O}}}.$

Explanation:

The length of OE is ${\text{OE}} = 7.12{\text{ units}}.$

The length of OB is ${\text{OB}} = 7.12{\text{ units}}.$

The length of OB and OE is $7.12{\text{ units}}.$

AC and FD are the chords of the circle.

OE and OB are the perpendicular bisector of the chords AC and FD respectively.

The length of the perpendicular bisectors of chords is $7.12{\text{ units}.$

The given chords of the circle are equidistant from the center of the circle.

We can conclude that $\boxed{\overline {{\text{OD}}} {\text{ is congruent to }}\overline {{\text{OB}}} }$. Option (A) is correct.

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Circles

Keywords: congruent, fill, blank, conclude, DF, OB, AB, AC, chord, tangent, displacement, two chords, radius, center, circle, equidistant,