1. StatementReason 1. Given 2. Chords that intercept congruent arcs are congruent Example 1 3. All radii of a circle are congruent

2. StatementReason 1. Given 2. Vertical angles are congruent Example 2 3. All radii of a circle are congruent

3. StatementReason 1. Given Example 3 3. Angles with a vertex at the center of a circle are central angles. 2. Vertical angles are congruent 4. Congruent central angles intercept congruent arcs.

4. StatementReason 1. Given Example 4 2. All radii of a circle are congruent 3. Reflexive postulate

5. StatementReason 1. Given 2. Congruent chords intercept congruent arcs Example 5 3. Reflexive Postulate 4. Addition postulate 5. Partition postulate 6. Substitution postulate

6. StatementReason 1. Given 2. Perpendicular segments form right angles Example 6 3. All right angles are congruent 4. Reflexive postulate 5. A diameter perpendicular to a chord bisects the chord. 6. A segment bisector divides a segment into 2 congruent parts.

7. StatementReason 1. Given 2. Vertical angles are congruent Example 7 3. Inscribed angles that intercept the same arc are congruent.

8. StatementReason 1. Given 2. Chords that intercept congruent arcs are congruent Example 8 3. Inscribed angles that intercept congruent arcs are congruent. 4. Inscribed angles that intercept the same arc are congruent. 5. Addition postulate 6. Partition postulate 7. Substitution postulate 8. Reflexive Postulate

9. Example 2 StatementReason

10. Example 2 StatementReason

11. StatementReason Example 2