Side Angle Side Congruence Postulate

Below is a way to vizualize our Side Angle Side Congruence Postulate.

1.) Is it possible to determine if the figures were congruent without adding line segment BC and EF? If so, state the congruency statement. 2.) Now, using figures BAC and EDF, determine whether or not the two figures will be congruent triangles when segment BC and EF are connected. In order to find out the length of BC and EF, first click on the 'Segment Between Two Points' button. Next, click on the two desired points. Lastly, right click on the segment. Then, right click on 'Object Properites.' Finally, change 'Show Label: Name' to 'Show Label: Name & Value.' 3.) Follow the steps from the previous activity in order to determine each angle measurement. 4.) Through the use of slope tool, prove whether or not the line AC has the same slope as DF. What other way could you prove that AC and DF are parallel?