Question

question 7 of 10
fill in the blank. given ⊙m below, you can conclude that \\(\overline{ml}\\) is congruent to ______.
a. \\(\overline{jr}\\)
b. ⊙m
c. \\(\overline{ma}\\)
d. \\(\overline{el}\\)

Explanation:

Step1: Recall circle chord-radius theorem

In a circle, if a radius is perpendicular to a chord, it bisects the chord. Also, distances from the center to congruent chords are equal, and conversely, chords equidistant from the center are congruent. Here, $\overline{ML} \perp \overline{OE}$, $\overline{MA} \perp \overline{JR}$, and the segments of the chords ($EL = JA = 3.8$) show the chords are congruent, so their distances from the center are congruent.

Step2: Match congruent segments

Since $\overline{ML}$ and $\overline{MA}$ are both distances from center $M$ to congruent chords, they are congruent.

Answer:

C. $\overline{MA}$