Coordinate Plane Interpretation - ISEE Upper Level: Mathematics Achievement
Card 1 of 25
What is the quadrant name for points where $x<0$ and $y>0$?
What is the quadrant name for points where $x<0$ and $y>0$?
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Quadrant II. This quadrant is in the upper-left region, characterized by negative x and positive y values.
Quadrant II. This quadrant is in the upper-left region, characterized by negative x and positive y values.
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Find the point that is $3$ units right and $4$ units up from the origin.
Find the point that is $3$ units right and $4$ units up from the origin.
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$(3,4)$. Moving right increases the x-coordinate positively, and up increases the y-coordinate positively from the origin.
$(3,4)$. Moving right increases the x-coordinate positively, and up increases the y-coordinate positively from the origin.
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Find the point that is $6$ units left and $2$ units down from the origin.
Find the point that is $6$ units left and $2$ units down from the origin.
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$(-6,-2)$. Moving left decreases the x-coordinate negatively, and down decreases the y-coordinate negatively from the origin.
$(-6,-2)$. Moving left decreases the x-coordinate negatively, and down decreases the y-coordinate negatively from the origin.
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What point is obtained by reflecting $(x,y)$ across the x-axis?
What point is obtained by reflecting $(x,y)$ across the x-axis?
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$(x,-y)$. Reflection across the x-axis negates the y-coordinate while keeping the x-coordinate unchanged.
$(x,-y)$. Reflection across the x-axis negates the y-coordinate while keeping the x-coordinate unchanged.
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What point is obtained by reflecting $(x,y)$ across the y-axis?
What point is obtained by reflecting $(x,y)$ across the y-axis?
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$(-x,y)$. Reflection across the y-axis negates the x-coordinate while keeping the y-coordinate unchanged.
$(-x,y)$. Reflection across the y-axis negates the x-coordinate while keeping the y-coordinate unchanged.
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What point is obtained by reflecting $(x,y)$ across the origin?
What point is obtained by reflecting $(x,y)$ across the origin?
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$(-x,-y)$. Reflection across the origin negates both the x-coordinate and y-coordinate.
$(-x,-y)$. Reflection across the origin negates both the x-coordinate and y-coordinate.
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What is the distance from $(x,y)$ to the x-axis?
What is the distance from $(x,y)$ to the x-axis?
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$|y|$. The vertical distance to the x-axis is the absolute value of the y-coordinate, regardless of sign.
$|y|$. The vertical distance to the x-axis is the absolute value of the y-coordinate, regardless of sign.
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What is the distance from $(x,y)$ to the y-axis?
What is the distance from $(x,y)$ to the y-axis?
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$|x|$. The horizontal distance to the y-axis is the absolute value of the x-coordinate, regardless of sign.
$|x|$. The horizontal distance to the y-axis is the absolute value of the x-coordinate, regardless of sign.
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What is the quadrant name for points where $x>0$ and $y<0$?
What is the quadrant name for points where $x>0$ and $y<0$?
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Quadrant IV. This quadrant is in the lower-right region, with positive x and negative y values.
Quadrant IV. This quadrant is in the lower-right region, with positive x and negative y values.
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Identify the quadrant (or axis) containing the point $(4,7)$.
Identify the quadrant (or axis) containing the point $(4,7)$.
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Quadrant I. Both coordinates are positive, placing the point in the upper-right quadrant.
Quadrant I. Both coordinates are positive, placing the point in the upper-right quadrant.
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Identify the quadrant (or axis) containing the point $(-3,5)$.
Identify the quadrant (or axis) containing the point $(-3,5)$.
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Quadrant II. The negative x and positive y place the point in the upper-left quadrant.
Quadrant II. The negative x and positive y place the point in the upper-left quadrant.
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Identify the quadrant (or axis) containing the point $(-6,-2)$.
Identify the quadrant (or axis) containing the point $(-6,-2)$.
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Quadrant III. Both negative coordinates place the point in the lower-left quadrant.
Quadrant III. Both negative coordinates place the point in the lower-left quadrant.
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Identify the quadrant (or axis) containing the point $(8,-1)$.
Identify the quadrant (or axis) containing the point $(8,-1)$.
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Quadrant IV. The positive x and negative y place the point in the lower-right quadrant.
Quadrant IV. The positive x and negative y place the point in the lower-right quadrant.
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Identify the quadrant (or axis) containing the point $(0,-9)$.
Identify the quadrant (or axis) containing the point $(0,-9)$.
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The y-axis. A zero x-coordinate and non-zero y place the point on the vertical axis, not in any quadrant.
The y-axis. A zero x-coordinate and non-zero y place the point on the vertical axis, not in any quadrant.
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Identify the quadrant (or axis) containing the point $(-5,0)$.
Identify the quadrant (or axis) containing the point $(-5,0)$.
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The x-axis. A zero y-coordinate and non-zero x place the point on the horizontal axis, not in any quadrant.
The x-axis. A zero y-coordinate and non-zero x place the point on the horizontal axis, not in any quadrant.
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What is the x-intercept of a point $(x,y)$ that lies on the x-axis?
What is the x-intercept of a point $(x,y)$ that lies on the x-axis?
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The x-coordinate $x$ (with $y=0$). For a point on the x-axis, the x-intercept is its x-coordinate since the y-coordinate is zero.
The x-coordinate $x$ (with $y=0$). For a point on the x-axis, the x-intercept is its x-coordinate since the y-coordinate is zero.
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What is the y-intercept of a point $(x,y)$ that lies on the y-axis?
What is the y-intercept of a point $(x,y)$ that lies on the y-axis?
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The y-coordinate $y$ (with $x=0$). For a point on the y-axis, the y-intercept is its y-coordinate since the x-coordinate is zero.
The y-coordinate $y$ (with $x=0$). For a point on the y-axis, the y-intercept is its y-coordinate since the x-coordinate is zero.
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What is the ordered pair form for a point with x-coordinate $x$ and y-coordinate $y$?
What is the ordered pair form for a point with x-coordinate $x$ and y-coordinate $y$?
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$(x,y)$. The ordered pair notation lists the x-coordinate first, followed by the y-coordinate, to specify a point's position on the plane.
$(x,y)$. The ordered pair notation lists the x-coordinate first, followed by the y-coordinate, to specify a point's position on the plane.
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What does the x-coordinate represent for a point $(x,y)$ on the coordinate plane?
What does the x-coordinate represent for a point $(x,y)$ on the coordinate plane?
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Horizontal position relative to the origin. The x-coordinate measures the horizontal distance and direction from the y-axis, with positive values to the right of the origin.
Horizontal position relative to the origin. The x-coordinate measures the horizontal distance and direction from the y-axis, with positive values to the right of the origin.
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What does the y-coordinate represent for a point $(x,y)$ on the coordinate plane?
What does the y-coordinate represent for a point $(x,y)$ on the coordinate plane?
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Vertical position relative to the origin. The y-coordinate measures the vertical distance and direction from the x-axis, with positive values above the origin.
Vertical position relative to the origin. The y-coordinate measures the vertical distance and direction from the x-axis, with positive values above the origin.
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What are the coordinates of the origin on the coordinate plane?
What are the coordinates of the origin on the coordinate plane?
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$(0,0)$. The origin is the reference point where the x-axis and y-axis intersect, defined by zero values for both coordinates.
$(0,0)$. The origin is the reference point where the x-axis and y-axis intersect, defined by zero values for both coordinates.
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Which axis contains all points of the form $(x,0)$?
Which axis contains all points of the form $(x,0)$?
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The x-axis. Points with a y-coordinate of zero lie directly on the horizontal line that forms the x-axis.
The x-axis. Points with a y-coordinate of zero lie directly on the horizontal line that forms the x-axis.
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Which axis contains all points of the form $(0,y)$?
Which axis contains all points of the form $(0,y)$?
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The y-axis. Points with an x-coordinate of zero lie directly on the vertical line that forms the y-axis.
The y-axis. Points with an x-coordinate of zero lie directly on the vertical line that forms the y-axis.
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What is the quadrant name for points where $x>0$ and $y>0$?
What is the quadrant name for points where $x>0$ and $y>0$?
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Quadrant I. Quadrants are labeled counterclockwise starting from the upper-right region where both coordinates are positive.
Quadrant I. Quadrants are labeled counterclockwise starting from the upper-right region where both coordinates are positive.
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What is the quadrant name for points where $x<0$ and $y<0$?
What is the quadrant name for points where $x<0$ and $y<0$?
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Quadrant III. This quadrant is in the lower-left region, where both x and y coordinates are negative.
Quadrant III. This quadrant is in the lower-left region, where both x and y coordinates are negative.
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