Given: Circle X, Chords AB and CD, AB ≅ CD, distance from AB to X is 9.
1. Circle X
1. Given
2. AB and CD are chords of circle X
2. Given
3. AB ≅ CD
3. Given
4. AB is 9 units from X.
4. Given
(You can combine some of these givens into one step if you want)
5. AB and CD are equidistant from X.
5. When ≅ chords are in the same circle, they are equidistant from the center.
6. CD is 9 units from X.
6. Substitution Property ■
Refer to the attached image if you need to.
