Unit 7, Lesson 13
Distances in the Coordinate Plane
Accelerated 6
13.1
Warm-up
Coordinate Patterns
Plot at least 3 points in your assigned quadrant, and label them with their coordinates.
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Plot at least 3 points in your assigned quadrant, and label them with their coordinates.
Write the coordinates of each point.
Coordinate plane, origin O, horizontal axis negative 7 through 7 by ones, vertical axis negative 5 through 5 by ones. Point A is 4 units to the right of the origin and 3 units up. Point B is 6 units down from point A. Point C is 1 unit to the left and 2 units down from point B. Point D is 7 units to the left and 2 units up from point C. Point E is 2 units to the left and 6 units up from point D.
Answer these questions for each pair of points.
Point
Point
Point
Plot and label these points in the coordinate plane:
Connect the dots in order. What shape is made?
What are the side lengths of figure
What is the difference between the
What is the difference between the
How do the differences of the coordinates relate to the distances between the points?
Here are the coordinates for four polygons. Plot them on the coordinate plane, connect the points in the order that they are listed, and label each polygon with its letter name.
Polygon A:
Polygon B:
Polygon C:
Polygon D:
The points
Notice that the vertical distance between points
We can always tell which quadrant a point is located in by the signs of its coordinates.
| quadrant | ||
|---|---|---|
| positive | positive | I |
| negative | positive | II |
| negative | negative | III |
| positive | negative | IV |
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