Question 934334
<table border=1><tr><th>Number</th><th>Statements</th><th>Reasons</th></tr><tr><td>1</td><td>M is the midpoint of AB</td><td>Given</td></tr><tr><td>2</td><td>AM = MB</td><td>Definition of Midpoint</td></tr><tr><td>3</td><td>*[Tex \Large \overline{ME} \perp \overline{AC}]</td><td>Given</td></tr><tr><td>4</td><td>*[Tex \Large \overline{MF} \perp \overline{CB}]</td><td>Given</td></tr><tr><td>5</td><td>angle MEA &amp; angle MFB are right angles</td><td>Definition of Perpendicular</td></tr><tr><td>6</td><td>angle MEA = angle MFB</td><td>All right angles are congruent</td></tr><tr><td>7</td><td>ME = MF</td><td>Given</td></tr><tr><td>8</td><td>triangle MEA = triangle MFB</td><td>SAS property of congruence (using lines: 7,6,2)</td></tr><tr><td>9</td><td>angle CAB = angle CBA</td><td>CPCTC</td></tr></table>