Given:
RS ∥ TQ
Prove: RT$\frown{\hspace{25px}}$ ≅ SQ$\frown{\hspace{25px}}$
Statements Reasons
1.
RS ∥ TQ
1.
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2. ∠S ≅ ∠T 2.
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3.
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3. If two ∠s are ≅, the ∠s are = in measure.
4. m∠S =
1
2
(mRT$\frown{\hspace{25px}}$)
4.
---Select---
5. m∠T =
1
2
(mSQ$\frown{\hspace{25px}}$)
5.
---Select---
6.
1
2
(mRT$\frown{\hspace{25px}}$) =
1
2
(mSQ$\frown{\hspace{25px}}$)
6.
---Select---
7. mRT$\frown{\hspace{25px}}$ = mSQ$\frown{\hspace{25px}}$ 7. Multiplication Property of Equality
8. RT$\frown{\hspace{25px}}$
?
SQ$\frown{\hspace{25px}}$ 8. If two arcs of a circle are = in measure, the arcs are ≅.