[list=1][*]Construct the diagram as shown. When you drag the figure, the givens should remain true.[/*][*]Test whether the conclusion is true. Here, we are testing whether two triangles are congruent. We know several congruence tests. Decide which one to use, and make the appropriate measurements.[/*][*]If the conclusion appears to be true, [color=#ff0000]write a two-column proof on a separate sheet[/color].[/*][*]If the conclusion is false, modify the problem slightly. [color=#ff0000](Recall the example on the handout.)[/color] [color=#ff0000]Write a two-column proof of[/color] your modified [color=#ff0000]statement[/color].[br][/*][/list]