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# Coordinates of rectangle example

Sal solves a challenging problem involving a quadrilateral on the coordinate plane.

## Want to join the conversation?

• So is this like a number swapping place to place
• yeah like y anm hrh fhhbfr brfhbdr
• 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.
• why does x go first instead of y
• How do I make a rectangle on a coordinate plane?
• you find the coordinate, then you connect them, otherwise...I dont know
• How can we do this with a parallelogram though
• 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
• Why doesn't the line horizontal to the coordinate satisfy the equation?
• 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.