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Geometry (all content)
Unit 6: Lesson 5
Quadrilaterals on the coordinate plane- Coordinates of a missing vertex
- Area of a parallelogram on the coordinate plane
- Area and perimeter on the coordinate plane
- Dimensions of a rectangle from coordinates
- Coordinates of rectangle example
- Quadrilateral problems on the coordinate plane
- Quadrilateral problems on the coordinate plane
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Coordinates of rectangle example
CCSS.Math:
Sal solves a challenging problem involving a quadrilateral on the coordinate plane.
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So is this like a number swapping place to place(5 votes)
yeah like y anm hrh fhhbfr brfhbdr(4 votes)
why does x go first instead of y(2 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.(4 votes)
why does x go first instead of y(3 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(3 votes)
How do I make a rectangle on a coordinate plane?(2 votes)- you find the coordinate, then you connect them, otherwise...I dont know(2 votes)
How can we do this with a parallelogram though(2 votes)
parallelogram has two pairs of parallel sides. A rectangle is a parallelogram, the math for both is the same. A rhombus and a square are also parallelograms(2 votes)
1:45Why doesn't the line horizontal to the coordinate satisfy the equation?(2 votes)- Points on the same horizontal line have the same y-coordinate. So the point at the bottom left and the point at the bottom right will have the same y-coordinate. But their x-coordinates will be different, so that isn't much help for finding the x-coordinate of one of them.
Points on the same vertical line have the same x-coordinate. So the point at the bottom left and the point at the top left will have the same x-coordinate. Since we're trying to find the x-coordinates of the point at the bottom left, this is helpful. We can just look at the top left point and see what the x-coordinate of that point is.(2 votes)
why is it always y and x for algebra(2 votes)
Well, in part it's because they don't look a lot like other symbols--when you start doing multiplication with x's and y's you usually switch the multiplication symbol to a dot or just use parentheses--and also because they aren't really common in the English language. But you don't ALWAYS use x and y. Sometimes you use distance and time, or other symbols. It really depends on the problem.(2 votes)
How do you find the length of a shape with coordinates.(2 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.(2 votes)
1:45Video transcript
- [Voiceover] So I've copied
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
would y, z and x are. Then we assort them. So let's first look at, well let's look at y. And this is a little bit counter intuitive because they're using the variable y to represent the x-coordinate, 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, it's going to be the same as
the x-coordinate of this point. They sit on the same vertical line the way that it is 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 a variable
y for the x-coordinate which is a little strange but this is going to be
the point four comma seven. So y is equal to four. Now let's see what we
can 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 going to be at the same level, I guess you could say, in the vertical direction. It's going to sit on the
same horizontal line. So it's going to have the same
y-coordinate as this point. Now this point has a
y-coordinate of three. So this point, it's y-coordinate
is going 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 do this in another color. X is the x-coordinate for this point. Well, this x-coordinate is
going to 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's also the variable x. So this is going to be two. So if we want to 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. The x then z, then y. Two then three, then four. So actually, let me 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 can check our answer. We got it right.