Question Video: Using the Properties of Congruence between Two Rectangles | Nagwa Question Video: Using the Properties of Congruence between Two Rectangles | Nagwa

# Question Video: Using the Properties of Congruence between Two Rectangles

Consider two congruent rectangles π΄π΅πΆπ· and ππππΏ. Which line in ππππΏ corresponds to line segment π΄π΅?

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### Video Transcript

Consider two congruent rectangles π΄π΅πΆπ· and ππππΏ. Which line in ππππΏ corresponds to line segment π΄π΅?

Letβs 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΅πΆπ· and ππππΏ, corresponding pairs of angles will be congruent and corresponding pairs of sides will be congruent. Letβs 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΅πΆπ· is congruent to ππππΏ, then that means that each of the vertices have to be in the same corresponding position.

So letβs now consider this line segment π΄π΅. Weβre asked which line in ππππΏ 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 ππ. We couldβve also discovered this using the congruency relationship. The line segment π΄π΅ corresponds with the line segment ππ. Therefore, either by drawing a diagram or by using the congruency statement, we would get the answer of line segment ππ.

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