GRN - Polygons in the Coordinate Plane Lesson
Polygons in the Coordinate Plane
As we have been learning this module, we can solve problems by graphing points in all four quadrants of the coordinate plane. We then found the distances between points. Now we are going to draw polygons in the coordinate plane and use those coordinates to find the length of the side. Polygons are two-dimensional figures with at least three straight sides. Some examples include triangles, quadrilaterals, pentagons, and hexagons. The name tells how many sides the shape has.
Let's look at a few examples!
For this rectangle, let's think about how far the points on the left are from the points on the right, which is the horizontal distance. The points on the left side have an x-value of -7. The points on the right both have an x-value of 2. So if we want to think about how far they are from each other, we would think about the distance from -7 to 0 and from 0 to 2 since it crosses over the origin. We could write that out as |-7| + |2| = 9. It's 9 steps from the points on the left to the points on the right.
Now let's think about how far the points at the top are from the points at the bottom, which is the vertical distance. The points on the top have a y-value of 4. The points on the bottom both have a y-value of -5. So if we want to think about how far they are from each other, we would think about the distance from 4 to 0 and from 0 to -5 since it crosses over the origin. We could write that out as |4| + |-5| = 9. It's also 9 steps from the points on the top to the points on the bottom. Since it is a distance of 9 steps vertically and horizontally, that means it's not only a rectangle, but it's also a square.
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Now you try it! Think about where on the horizontal axis both points are and find the distance. Then think about where on the vertical axis both points are and find the distance between them.
In thinking about the horizontal axis, they are at 2 and 7. So that would be 5 steps apart horizontally. We easily can tell that since it's not crossing from negative into positive (both points were positive).
If we think about the vertical axis, they are at -2 and 8. We have to think about how far it is from -2 to 0 and then from 0 to 8. As a number sentence, we would write that as |-2| + |8| which is 10. They are 10 steps apart vertically.
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Graphing on the Coordinate Plane Assignment
Once you've done the practice work, you can click here for the answer key to check it.
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