Question 1121613
let's say it is a parallelogram {{{ABCD}}}

Statements........................................................................................	Reasons
1.Parallelogram {{{AB}}} and {{{CD}}} are perpendicular to each other ......... 	Given
2. < {{{AMB}}} and < {{{CMB}}} are right angles..............................................	Definition of perpendicular
3. {{{m}}} < {{{AMB = 90}}}º and {{{m}}} < {{{CMB = 90}}}º ..............................................Definition of right angle
4. < {{{AMB }}} congruent < {{{CMB}}}................................................. ...........Definition of congruent angles
5.  {{{AM}}} is congruent {{{MC }}}........................................................................-Opposite sides of a parallelogram are congruent
6.  {{{BM}}}  is congruent {{{BM}}} ....................................................................................Reflexive property of congruent
7. 	&#916;{{{AMB}}}  is congruent &#916;{{{CMB}}} ..............................................................	{{{SAS}}} Postulate
8. 	{{{AB}}}  is congruent {{{BC }}}..........................................................................	{{{CPOCTAC}}}
9. 	Parallelogram {{{ABCD}}} is a rhombus..........................................Definition of rhombus