### Video Transcript

Consider two congruent rectangles π΄π΅πΆπ· and ππππΏ. Which line in ππππΏ corresponds to line segment π΄π΅?

Letβs begin by noting that we have two rectangles which are described as congruent, which means the same shape and size. This means that in our rectangles π΄π΅πΆπ· and ππππΏ, corresponding pairs of angles will be congruent and corresponding pairs of sides will be congruent. Letβs try modeling the two rectangles. So, we could draw them like this or even like this. What we do have to be careful of, however, is that because we have this congruency relationship that π΄π΅πΆπ· is congruent to ππππΏ, then that means that each of the vertices have to be in the same corresponding position.

So letβs now consider this line segment π΄π΅. Weβre asked which line in ππππΏ corresponds to this one. Using either of the options that we used to draw our two rectangles, the line segment that will be in the same corresponding position to line segment π΄π΅ will be the line segment ππ. We couldβve also discovered this using the congruency relationship. The line segment π΄π΅ corresponds with the line segment ππ. Therefore, either by drawing a diagram or by using the congruency statement, we would get the answer of line segment ππ.