Unique properties of a rectangle10/8/2023 ![]() ![]() So you're going to be creating 45 degree angles when you draw in your diagonals. So the diagonals are congruent to each other, the diagonals bisect each other and are perpendicular, so I can mark these 4 as congruent and they bisect the angles that they intercept. Just kind of smoosh them all together and the square has all those properties. You could call it a regular quadrilateral, you could call it equal regular rhombus but the other key thing is that the diagonals are congruent, so basically a square is just putting together everything that you know about a parallelogram, about a rhombus and a rectangle. Moving on to a square the key things about a square is that you can name it a whole bunch of different ways. ![]() ![]() These 4 segments will be congruent to each other. Now I didn't use a different number of marking here since the diagonals are congruent. So these segments are going to be congruent. And the diagonals will bisect each other. The diagonals of a rectangle are congruent to each other, which is a trick that people use in construction, if they're trying to build a rectangular room. So the key facts about a rectangle is that it's an equiangular parallelogram which is another way of saying if you have 360 degrees and 4 angles are congruent then each of these angles must be 90 degrees, it's also a parallelogram which means opposite sides are congruent and that you have 2 pairs of parallel side. It's important to know the properties of a rectangle and a square because you're going to use them in proofs, you're going to use them in true and false, fill in the blank, multiple choice, you're going to see it all over the place. ![]()
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