Understand Signs in Coordinate Plane - 6th Grade Math
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Which axis is the line of reflection if $(a,b)$ maps to $(a,-b)$?
Which axis is the line of reflection if $(a,b)$ maps to $(a,-b)$?
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The $x$-axis. Only $y$ changes sign, so reflection is across horizontal axis.
The $x$-axis. Only $y$ changes sign, so reflection is across horizontal axis.
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What do the signs in an ordered pair $(x,y)$ tell you about the point's location on the coordinate plane?
What do the signs in an ordered pair $(x,y)$ tell you about the point's location on the coordinate plane?
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They tell the directions from the origin: $x$ left/right, $y$ down/up. Positive means right/up from origin; negative means left/down.
They tell the directions from the origin: $x$ left/right, $y$ down/up. Positive means right/up from origin; negative means left/down.
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What does a positive $x$-coordinate mean about a point's position relative to the $y$-axis?
What does a positive $x$-coordinate mean about a point's position relative to the $y$-axis?
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The point is to the right of the $y$-axis. Positive $x$ values are always right of the vertical axis.
The point is to the right of the $y$-axis. Positive $x$ values are always right of the vertical axis.
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What does a negative $x$-coordinate mean about a point's position relative to the $y$-axis?
What does a negative $x$-coordinate mean about a point's position relative to the $y$-axis?
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The point is to the left of the $y$-axis. Negative $x$ values are always left of the vertical axis.
The point is to the left of the $y$-axis. Negative $x$ values are always left of the vertical axis.
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What does a positive $y$-coordinate mean about a point's position relative to the $x$-axis?
What does a positive $y$-coordinate mean about a point's position relative to the $x$-axis?
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The point is above the $x$-axis. Positive $y$ values are always above the horizontal axis.
The point is above the $x$-axis. Positive $y$ values are always above the horizontal axis.
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What does a negative $y$-coordinate mean about a point's position relative to the $x$-axis?
What does a negative $y$-coordinate mean about a point's position relative to the $x$-axis?
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The point is below the $x$-axis. Negative $y$ values are always below the horizontal axis.
The point is below the $x$-axis. Negative $y$ values are always below the horizontal axis.
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What are the signs of coordinates for Quadrant I?
What are the signs of coordinates for Quadrant I?
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Quadrant I: $(+,+)$. Both coordinates positive means upper right quadrant.
Quadrant I: $(+,+)$. Both coordinates positive means upper right quadrant.
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What are the signs of coordinates for Quadrant II?
What are the signs of coordinates for Quadrant II?
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Quadrant II: $(-,+)$. Negative $x$, positive $y$ means upper left quadrant.
Quadrant II: $(-,+)$. Negative $x$, positive $y$ means upper left quadrant.
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What are the signs of coordinates for Quadrant III?
What are the signs of coordinates for Quadrant III?
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Quadrant III: $(-,-)$. Both coordinates negative means lower left quadrant.
Quadrant III: $(-,-)$. Both coordinates negative means lower left quadrant.
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What are the signs of coordinates for Quadrant IV?
What are the signs of coordinates for Quadrant IV?
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Quadrant IV: $(+,-)$. Positive $x$, negative $y$ means lower right quadrant.
Quadrant IV: $(+,-)$. Positive $x$, negative $y$ means lower right quadrant.
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Which quadrant contains the point $(3,5)$?
Which quadrant contains the point $(3,5)$?
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Quadrant I. Both coordinates are positive, placing it in the upper right.
Quadrant I. Both coordinates are positive, placing it in the upper right.
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Which quadrant contains the point $(-3,5)$?
Which quadrant contains the point $(-3,5)$?
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Quadrant II. Negative $x$ and positive $y$ place it in the upper left.
Quadrant II. Negative $x$ and positive $y$ place it in the upper left.
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Which quadrant contains the point $(-3,-5)$?
Which quadrant contains the point $(-3,-5)$?
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Quadrant III. Both coordinates are negative, placing it in the lower left.
Quadrant III. Both coordinates are negative, placing it in the lower left.
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Which quadrant contains the point $(3,-5)$?
Which quadrant contains the point $(3,-5)$?
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Quadrant IV. Positive $x$ and negative $y$ place it in the lower right.
Quadrant IV. Positive $x$ and negative $y$ place it in the lower right.
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What is the reflection of $(4,-2)$ across the $y$-axis?
What is the reflection of $(4,-2)$ across the $y$-axis?
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$(-4,-2)$. Change sign of $x$: $4$ becomes $-4$, $y$ stays $-2$.
$(-4,-2)$. Change sign of $x$: $4$ becomes $-4$, $y$ stays $-2$.
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What is the reflection of $(4,-2)$ across both axes?
What is the reflection of $(4,-2)$ across both axes?
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$(-4,2)$. Change both signs: $(4,-2)$ becomes $(-4,2)$.
$(-4,2)$. Change both signs: $(4,-2)$ becomes $(-4,2)$.
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What do the signs of $x$ and $y$ in an ordered pair $(x,y)$ tell you on a coordinate plane?
What do the signs of $x$ and $y$ in an ordered pair $(x,y)$ tell you on a coordinate plane?
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They tell the quadrant or axis location of the point $(x,y)$. Signs determine which of the four quadrants or two axes the point lies on.
They tell the quadrant or axis location of the point $(x,y)$. Signs determine which of the four quadrants or two axes the point lies on.
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What quadrant contains points with $x>0$ and $y>0$?
What quadrant contains points with $x>0$ and $y>0$?
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Quadrant I. Both coordinates are positive in the upper-right quadrant.
Quadrant I. Both coordinates are positive in the upper-right quadrant.
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What quadrant contains points with $x<0$ and $y>0$?
What quadrant contains points with $x<0$ and $y>0$?
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Quadrant II. Negative $x$ and positive $y$ place points in the upper-left quadrant.
Quadrant II. Negative $x$ and positive $y$ place points in the upper-left quadrant.
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What quadrant contains points with $x>0$ and $y<0$?
What quadrant contains points with $x>0$ and $y<0$?
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Quadrant IV. Positive $x$ and negative $y$ place points in the lower-right quadrant.
Quadrant IV. Positive $x$ and negative $y$ place points in the lower-right quadrant.
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Which axis contains all points with $y=0$?
Which axis contains all points with $y=0$?
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The $x$-axis. Points with zero $y$-coordinate lie horizontally on the $x$-axis.
The $x$-axis. Points with zero $y$-coordinate lie horizontally on the $x$-axis.
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Which axis contains all points with $x=0$?
Which axis contains all points with $x=0$?
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The $y$-axis. Points with zero $x$-coordinate lie vertically on the $y$-axis.
The $y$-axis. Points with zero $x$-coordinate lie vertically on the $y$-axis.
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What is the location name for the point $(0,0)$ on the coordinate plane?
What is the location name for the point $(0,0)$ on the coordinate plane?
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The origin. The intersection of the $x$ and $y$ axes is called the origin.
The origin. The intersection of the $x$ and $y$ axes is called the origin.
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Identify the quadrant or axis location of the point $(4,-2)$.
Identify the quadrant or axis location of the point $(4,-2)$.
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Quadrant IV. Positive $x$ and negative $y$ place this point in the lower-right quadrant.
Quadrant IV. Positive $x$ and negative $y$ place this point in the lower-right quadrant.
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What reflection across the $y$-axis does to $(x,y)$ in ordered-pair form?
What reflection across the $y$-axis does to $(x,y)$ in ordered-pair form?
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$(x,y)\rightarrow(-x,y)$. Reflecting across $y$-axis negates the $x$-coordinate only.
$(x,y)\rightarrow(-x,y)$. Reflecting across $y$-axis negates the $x$-coordinate only.
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