Left Panel Interactive

Statements

Reasons

1. T is the center of a circle with chords PQ and SR.

1. given

2. PQ ≅ SR

2. given

3. PT ≅ QT≅ ST≅ RT

3. all radii of a circle are congruent

4. △PTQ ≅ △STR

4.SSS

5. ∠PTQ ≅ ∠STR

5. CPCTC

6. m∠PTQ = m∠STR

6. def. of congruent

7. #&m\overset{\frown}{\sf PQ} = m\overset{\frown}{\sf SR}#&

7. central angle measure = arc measure

8. #&\overset{\frown}{\sf PQ}#& ≅ #&\overset{\frown}{\sf SR}#&

8. def. of congruent