Video Transcript
Are two squares congruent if the side length of one square is equal to the side length of the other?
Here we have two squares. And we know that the side length of one square, call it ๐ฅ, is equal to the side length of the other, call it ๐ฆ. So ๐ฅ is equal to ๐ฆ.
So looking at square number one with side length ๐ฅ, because itโs a square, all side lengths are equal. So we can label them all ๐ฅ. And we can do the same with the other square. We can label them all ๐ฆ.
Now another property that we know about a square is that all angles are equal to 90 degrees, which are now labeled. So letโs go ahead and say that length of ๐ฅ is five.
So if ๐ฅ is five, each of these side lengths will be five. But since ๐ฅ is equal to ๐ฆ, if ๐ฅ is five, we can substitute five in for ๐ฅ which makes ๐ฆ equal to five, which weโve now labeled.
So are these two squares congruent? If they would be congruent, they will have equal angles and equal side lengths. And we have that! Therefore, our answer is yes.
