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Current time:0:00Total duration:2:41

Video transcript

you are graphing rectangle ABCD in the coordinate plane the following are three of the vertices of the rectangle and they give us the coordinates what are the coordinates of point D all right well a good place to start let's just plot these the three vertices that they give us so it looks like they're all in the first quadrant so I'm going to focus my my coordinate axes on the first quadrant so that's going to be my y-axis and let me know that's going to be my x-axis and let's see the highest x value that I have you have a two I have a five I am a five it looks like it goes up to five so I could say one two three four and five so that's five I can just know one two three four and five and let's see the highest Y value of 1 1 and a 6 so it goes up to 6 so 1 2 3 4 5 and 6 again number them 1 2 3 4 5 and 6 now let's plot the points so let's first plot point a which is at 2 comma 1 x equals 2 y is equal to 1 so that's that point right over there now let's plot point B point B is at 5 comma 1 so x equals 5 y is equal to 1 that's right over there now let's plot point C Point C and I need to find another color here Point C is that X is equal to 5 y is equal to 6 X is equal to 5 y is equal to 6 so it sticks us roughly all right over there and so we need to figure out what D is going to be well D is going this is a rectangle the sides are parallel all the vertices we have right angles at all the vertices so Point D is going to have the same the same x-coordinate is this point right over here so it's going to have the same x-coordinate so as so it's going to have an x coordinate so let me write this D is going to have an x coordinate of 2 and it's going to have the same y-coordinate as this point up here so it's going to have a y-coordinate of sick of six so D is going to be at the point 2 comma 6 and you see when we do that we have set up a nice a nice rectangle here and we can draw the rectangle so that's one side that's the top side it's another side another side and then we have that just like that there you go we have our rectangle but most importantly we entered our question what are the coordinates of point D all right