Each of the following statements is true. State the converse of each statement,

and if it is false, provide a figure as a counterexample.

$($a$)$ If $!$:::$.$ABC$=!$:::$.$DEF, then LA$=$ LD and LB $=$ LE$.$

$($b$)$ If ABCD is a rectangle, then LA$=$ LC $=$goo.

$($c$)$ If ABC D is a rectangle, then LA $=$ LB $=$ LC $=$ goo.