Chapter 6.1, Problem 30E

In Exercises 30 and 31, complete each proof.

Given:	Diameters $\overline{AB}$ and $\overline{CD}$ in $\odot E$
Prove:	$\stackrel{⌢}{AC}\cong \stackrel{⌢}{DB}$
PROOF Statements Reasons 1. $?$ 1. Given 2. $\angle AEC\cong \angle DEB$ 2. $?$ 3. $\text{m}\angle AEC=\text{m}\angle DEB$ 3. $?$ 4. $\text{m}\angle AEC=\text{m}\stackrel{⌢}{AC}$ and $\text{m}\angle DEB=\text{m}\stackrel{⌢}{DB}$ 4. $?$ 5. $\text{m}\stackrel{⌢}{AC}=\text{m}\stackrel{⌢}{DB}$ 5. $?$ 6. $?$ 6. If two arcs of a circle have the same measure, they are $\cong$