Question

In ⊙Z, chords JK and LM are congruent. Which must be equivalent to the distance from JK to point Z?
A. the distance from JK to LM
B. the distance from LM to point Z
C. the distance from point K to LM
D. the distance from point J to point Z

Answer 1

Given:

In ⊙Z, chords JK and LM are congruent.

To find:

Which must be equivalent to the distance from JK to point Z?

Solution:

Congruent chords theorem: If the two chords are congruent, then their intercepted arcs are congruent and they are equidistant from the center of the circle.

Therefore, the distance from JK to point Z must be equivalent to the the distance from LM to point Z.

Therefore, option B is correct.