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Question
corrective assignment date:______ give the coordinates and location of the following points. point coordinate location g d k h f b
To solve for the coordinates and locations of each point, we use the coordinate plane (x - axis horizontal, y - axis vertical, origin \((0,0)\)) and identify the quadrant or axis each point lies on (Quadrant I: \(x>0,y>0\); Quadrant II: \(x<0,y>0\); Quadrant III: \(x<0,y<0\); Quadrant IV: \(x>0,y<0\); x - axis: \(y = 0\); y - axis: \(x = 0\)).
Point G (Left - most G)
Step 1: Determine x - coordinate
From the origin \((0,0)\), moving left (negative x - direction) by 6 units. So \(x=-6\).
Step 2: Determine y - coordinate
Moving up (positive y - direction) by 4 units. So \(y = 4\).
Step 3: Determine location
Since \(x<0\) and \(y>0\), the point is in Quadrant II.
Point D
Step 1: Determine x - coordinate
Moving left by 5 units. So \(x=-5\).
Step 2: Determine y - coordinate
Moving up by 3 units. So \(y = 3\).
Step 3: Determine location
Since \(x<0\) and \(y>0\), the point is in Quadrant II.
Point K
Step 1: Determine x - coordinate
Moving left by 2 units. So \(x=-2\).
Step 2: Determine y - coordinate
Moving up by 2 units. So \(y = 2\).
Step 3: Determine location
Since \(x<0\) and \(y>0\), the point is in Quadrant II.
Point H
Step 1: Determine x - coordinate
Moving left by 3 units. So \(x=-3\).
Step 2: Determine y - coordinate
Moving down by 2 units. So \(y=-2\).
Step 3: Determine location
Since \(x<0\) and \(y<0\), the point is in Quadrant III.
Point F
Step 1: Determine x - coordinate
Moving right by 3 units. So \(x = 3\).
Step 2: Determine y - coordinate
Since it lies on the x - axis, \(y = 0\).
Step 3: Determine location
The point lies on the x - axis (since \(y = 0\)).
Point B
Step 1: Determine x - coordinate
Since it lies on the y - axis, \(x = 0\).
Step 2: Determine y - coordinate
Moving down by 1 unit. So \(y=-1\).
Step 3: Determine location
The point lies on the y - axis (since \(x = 0\)).
| Point | Coordinate | Location |
|---|---|---|
| D | \((-5,3)\) | Quadrant II |
| K | \((-2,2)\) | Quadrant II |
| H | \((-3,-2)\) | Quadrant III |
| F | \((3,0)\) | x - axis |
| B | \((0,-1)\) | y - axis |
If we consider the other point \(G\) (right - most \(G\)):
Step 1: Determine x - coordinate
Moving right by 4 units. So \(x = 4\).
Step 2: Determine y - coordinate
Moving up by 4 units. So \(y = 4\).
Step 3: Determine location
Since \(x>0\) and \(y>0\), the point is in Quadrant I.
| Point (Right - most G) | Coordinate | Location |
|---|
If we consider point \(J\):
Step 1: Determine x - coordinate
Moving left by 4 units. So \(x=-4\).
Step 2: Determine y - coordinate
Moving down by 1 unit. So \(y=-1\).
Step 3: Determine location
Since \(x<0\) and \(y<0\), the point is in Quadrant III.
| Point J | Coordinate | Location |
|---|
If we consider point \(A\):
Step 1: Determine x - coordinate
Moving right by 3 units. So \(x = 3\).
Step 2: Determine y - coordinate
Moving down by 3 units. So \(y=-3\).
Step 3: Determine location
Since \(x>0\) and \(y<0\), the point is in Quadrant IV.
| Point A | Coordinate | Location |
|---|
If we consider point \(E\):
Step 1: Determine x - coordinate
Moving right by 4 units. So \(x = 4\).
Step 2: Determine y - coordinate
Moving down by 1 unit. So \(y=-1\).
Step 3: Determine location
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| Point | Coordinate | Location |
|---|---|---|
| D | \((-5,3)\) | Quadrant II |
| K | \((-2,2)\) | Quadrant II |
| H | \((-3,-2)\) | Quadrant III |
| F | \((3,0)\) | x - axis |
| B | \((0,-1)\) | y - axis |