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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.

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• 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.
• very confusing indeed
• why does x go first instead of y
• 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.
• So is this like a number swapping place to place
• here's a link to help https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic but I hope this is helpful
• How do you find the length of a shape with coordinates.
• 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.
• 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.
• why does x go first instead of y
• because it is
• This is confusing.(well for me) Can someone explain a little easier for me?
• THE VERTICES OF A RECTANGLE ARE A(4,6), B(4,-1), C(0,-1)< D(0,6) what are the dimensions of the rectangle?
• In this case the dimensions of the rectangle is 5×7.
(1 vote)
• do you guys get this?
(1 vote)

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.