Main content

## Get ready for Geometry

### Unit 2: Lesson 1

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
- Example of shapes on a coordinate plane
- 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

© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Example of shapes on a coordinate plane

Sal draws a rectangle on a coordinate plane and then finds its height.

## Want to join the conversation?

- I can help with At 1:1,1:2,1:3,1:4,1:5,1:6,1:7,1:8,1:9,1:10anything thing just ask ^^ :3(6 votes)
- Who Doesn't understand? I can help.(6 votes)
- There are so few questions(5 votes)
- thanks you so much for this video and this helps my grade seven math more often(2 votes)
- Can a shape have more than 4 vertices and only 4 sides?(1 vote)
- A shape should have the same number of sides as vertex points. So, I don't think so. Imagine that you had to come up with the answer to it. Think of the shapes you know, and see if there are any more vertices than sides.(2 votes)

- i got confused at minute 1;01(1 vote)
- At minute1:01, Sal just described where the points were located at. That's not so important but can help to few.(1 vote)

- am a cool kide :).(1 vote)
- How do we do if we know where it is going?(1 vote)
- ?

I am trying but it is confusing(2 votes)- Simple...If you are asked to plot (1,5), just go one dot to the right, and 5 dots up. As simple as that!(2 votes)

## Video transcript

- [Instructor] So we're
told here the four corners of a rectangle are located
at the points (1,1), (1,6), (9,6) and (9,1). Plot the four corners of the rectangle on the coordinate plane below. And they gave us these four points and we can move them around
with our mouse or our finger, depending on what type of
a computer we are using. And so let's just go
point by point and plot the green points at those points. So the first one is (1,1) and remember, the first coordinate is our x-coordinate. The second coordinate is our y-coordinate. So the first coordinate
tells us how far do we move to the right of the origin. So it's one, and then
the second coordinate, the y-coordinate, tells
us how far to move up from the origin, so that's also a one. So (1,1). The next point is (1,6). X-coordinate is one. So we move one to the right of the origin and then the y-coordinate is six. So we move six up and notice
it's at the intersection of the line ... Or it's at the intersection
of when y equals six and x equals one. This is (1,6). Alright, now we have (9,6). So let's see, if we take our ... If we have x equals nine right over there and y is equal to six so we go up six. So notice y is now equal to six. And we have one last point to plot: (9,1). So when x is nine, y is one. We go nine to the right or
we're right above x equals nine and then we go up one. This is (9,1) and there you have it. We have the four corners of our rectangle. Then they say what is the
height of the rectangle? Well if you imagine a
rectangle right over here, the height would be the
distance between that point and this point or the
distance between that point and that point and so what is the distance between these points? Let's see, they're on ... They both have the same x-coordinate and this one is at y equals six. This is at y equals one. So this is five higher than this one. So the height is five. And we can also count it. We could see one, two, three, four, five.