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Course: 6 ನೇ ತರಗತಿ > Unit 7
Lesson 7: Polygons on the coordinate plane- Drawing a quadrilateral on the coordinate plane example
- Drawing polygons with coordinates
- Area of a parallelogram on the coordinate plane
- Area and perimeter on the coordinate plane
- Coordinates of a missing vertex
- Dimensions of a rectangle from coordinates
- Coordinates of rectangle example
- Quadrilateral problems on the coordinate plane
- Quadrilateral problems on the coordinate plane
- Parallelogram on the coordinate plane
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Dimensions of a rectangle from coordinates
Given the vertices of a rectangle, can you find the lengths of the sides?
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ವೀಡಿಯೊ ಪ್ರತಿಲಿಪಿ
- [Instructor] Rectangle ABCD is graphed in the coordinate plane. The following are the
vertices of the rectangle, and they give us the labels
for the vertices as well. Given these coordinates, what is the length of
side AD of this rectangle? So let's just plot it. That's one way that we could tackle it. So let's, let me see all of these are actually in the first coordinate. So I can focus on the first coordinate. So let's say that's my y-axis. That's my y-axis. And let me draw my x-axis, my x-axis. And actually I wanna really focus in on the points A and D because we just need to find the length of the side
from point A to point D. So point A, lemme just use another color, so point A is at x equals 7, y is equal to 1. So 1, 2, 3, 4, 5, 6, 7, so that's x equals 7. y is equal to 1. y is equal to 1, so that is point A right over there, point A, let me label it, point A. And then where's point D? Point D has the exact same, has the exact same x-coordinate, but its y-coordinate
is a little bit higher. Its y-coordinate is 6, it's actually 5 higher. So point D is that x equals 7, y is equal to 6. So y is equal to 1, 2, 3, 4, 5, and 6. So that's y is equal to 6. And so we can draw the point. It is going to be right over here. This is point D, and we can actually connect
them with a line if we like to show that this is
a side of a rectangle. So let me draw that. I can just draw this like this. And there you have it. I haven't even drawn
the whole rectangle yet, but just by plotting these two points, we can think about how long side AD is. We can see, look, the x doesn't
change going from A to D, but we do increase in
the y direction by 5. We go from y is equal to 1 to y is equal to 6. So our change in y is equal to 5. So what's the length of this line? Well, it's gonna be 5. It's gonna be 5, whatever the units are. So that's the length of side AD. It's going to be equal to 5. We went from the point 7,1 to the point, to the point 7,6. Now they said that this was a rectangle, now just for satisfaction, we can draw the entire rectangle. We have the point B. That is at x equals 5, y is equal to 1. So let me draw that. And I'm just doing this just for fun now. At this point, we're
done with the problem. So x equals 5, y equals 1. That's right over here. That's point B. Let me write B, that's the point 5,1. And then we have the point C. I'll use another color. The point C is at x equals 5, y equals 6. x equals 5, y equals 6. Point C is right over here. Point C is the point x
equals 5, y equals 6. And then we can connect
all the dots if we like and clearly see that it is a rectangle. So I could connect those, I could connect these two, and then I could connect these two. And then we see that we
indeed have a rectangle. But we answered it a while ago that the length of side AD is equal to 5. If we cared about the other
sides, the length of BA, well, this is 2, a difference of 2 along the x direction, the horizontal direction, this difference of 2
along the x direction, difference of 5 in the y direction, we go from y equals 1 to y equals 6. So there you have it. We are actually able to figure out all of the dimensions of this rectangle.