Main content

### Course: Grade 6 (Virginia) > Unit 1

Lesson 8: 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

© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Coordinates of rectangle example

Learn how to sort coordinates from least to greatest using a rectangle diagram. Understand how x, y, and z coordinates relate to each other. Discover that y equals four, z equals three, and x equals two. Master sorting these values in ascending order: x, z, y.

## Want to join the conversation?

- This is confusing and counter-intuitive but maybe that's a good thing because it forces you to correctly associate the x/y axes with the 2 values in an ordered pair.

I used a, b and c instead of x, y and z to make this easier to understand.(16 votes)- very confusing indeed(6 votes)

- why does x go first instead of y(6 votes)
- With a coordinate grid, the horizontal direction, or "axis" is called the x axis. The vertical direction, or axis, is called the y axis. In ordered pairs, the things in parentheses that tell you what point it's referring to, the x axis is always the first number, probably because it's first in the alphabet.(6 votes)

- So is this like a number swapping place to place(5 votes)
- here's a link to help https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic but I hope this is helpful(5 votes)
- How do you find the length of a shape with coordinates.(4 votes)
- Find the distance between two points. So in this video, we end up with (2, 7) and (2, 3). This distance between 3 and 7 is 4, so we know the side between those two points has a length of 4.(3 votes)

- what are the digits of pi?(1 vote)
- Well, pi (π) has infinite non-repeating decimals after the point. So the most common ways to abbreviate are:

- 22/7

- 3.14

Extra digits are: 3.14159265358979323... so on so forth. Most of the time you can just use 3.14.(6 votes)

- why does x go first instead of y(3 votes)
- this video has nothing to do with the quizes and assignments(3 votes)
- Someone please comment if you don't understand and/or if I'm wrong:

There are two versions of this problem: Rectangle and Parallelograms

Step by step for finding Rectangle coordinates:

1. You first check if the variable is an “X” or “Y” coordinate. For example: In (a, 2), "a" is the X coordinate. In (4, d), "d" is is the Y coordinate.

2. Check the coordinate that is BELOW or ABOVE the variable you're searching for. If there's a rectangle and (a, 2) is ABOVE of the coordinate (10, 5), then a = 10. If (4, d) is BELOW of the coordinate (10, 20) then d = 20.

3. Compare variable values from greatest to least.

Step by step for finding Parallelograms coordinates:

1. Repeat the first step from the RECTANGLE by identifying if the variables are "X" or "Y" coordinates.

2. To find the value of the variable that is a "X" coordinate, you search for the "X" value that is on the DIAGONAL OPPOSITE SIDE. Example: If the variable that is an “X” coordinate is located on the TOP RIGHT of the parallelogram, then the correct coordinate would be on the BOTTOM LEFT.

3. If the variable is a “Y” coordinate like for example (10, d), then you find the “Y” coordinate value that is HORIZONTALLY ON THE OPPOSITE SIDE.

4. Compare variable values from greatest to least.(3 votes) - This is confusing.(well for me) Can someone explain a little easier for me?(2 votes)

## Video transcript

- [Tutor] So I have copy
and pasted this question from the exercises on Khan Academy. It says, "Sort the following expressions from least to greatest
based on the coordinates of the rectangle below." So we need to figure
out what Y, Z, and X are and then we need to sort them. Let's look at Y. And this is a little bit counterintuitive because they're using the variable Y to represent the
X-coordinate of this point. So let's see if we can figure out what the X-coordinate of this point is. Well, it's a rectangle. The X-coordinate of this
point right over here is gonna be the same as the
X-coordinate of this point. They sit on the same vertical
line, the way that it's drawn, so if this has an
X-coordinate of X equals four, then this is going to have
an X-coordinate of four, and now we use the variable
Y for the X-coordinate, which is a little strange, but this is going to be the point (4,7). So Y is equal to four. Now let's see what we
could figure out about Z. Well, Z is the Y-coordinate for, let me use another color here. Z is the Y-coordinate for this point. Now what other point has
the same Y-coordinate? Well, it's gonna be at the same level, I guess you could say in
the vertical direction. It's gonna sit on the
same horizontal line. So it's gonna have the same
Y-coordinate as this point. Now this point has a
Y-coordinate of three, so this point's Y-coordinate
needs to be three or we could say that Z is equal to three. So this is going to be equal to three. And then last but not least, we need to figure out what X is. And X is the X-coordinate. Let me just in another color. X is the X-coordinate for this point. Well, this X-coordinate
is gonna be the same thing as the X-coordinate
for this point up here, which is equal to two. They sit on the same vertical line, they both sit on the line X equals two. And so X is going to be two. It is the X-coordinate and
it is also the variable X, so this is going to be two. If we wanna sort them
from least to greatest, X is the least, then we would go, it's actually the exact
opposite of what we have here. It'd be X, then Z, then Y. Two, then three, then four. So actually lemme get the exercise out and just check our answer. So X is the least, then Z is in the middle and then Y is the largest. We could check our answer
and we got it right.