Reading Coordinates - ISEE Middle Level: Mathematics Achievement
Card 1 of 25
Identify the coordinates of a point on the $y$-axis with $y = 4$.
Identify the coordinates of a point on the $y$-axis with $y = 4$.
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The point is $(0, 4)$. Points on the y-axis have an x-coordinate of zero, paired with the specified y-value.
The point is $(0, 4)$. Points on the y-axis have an x-coordinate of zero, paired with the specified y-value.
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Find the point’s coordinates: start at $(1, -2)$, move $3$ right and $4$ up.
Find the point’s coordinates: start at $(1, -2)$, move $3$ right and $4$ up.
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The point is $(4, 2)$. Adding the horizontal and vertical movements to the starting coordinates yields the new position.
The point is $(4, 2)$. Adding the horizontal and vertical movements to the starting coordinates yields the new position.
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Find the point’s coordinates: start at $(-5, 3)$, move $2$ left and $6$ down.
Find the point’s coordinates: start at $(-5, 3)$, move $2$ left and $6$ down.
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The point is $(-7, -3)$. Subtracting for left and down movements from the initial coordinates determines the final position.
The point is $(-7, -3)$. Subtracting for left and down movements from the initial coordinates determines the final position.
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Identify the point that is symmetric to $(4, -7)$ across the $x$-axis.
Identify the point that is symmetric to $(4, -7)$ across the $x$-axis.
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The point is $(4, 7)$. Reflection across the x-axis negates the y-coordinate while keeping the x-coordinate unchanged.
The point is $(4, 7)$. Reflection across the x-axis negates the y-coordinate while keeping the x-coordinate unchanged.
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What quadrant contains the point $(5, -1)$?
What quadrant contains the point $(5, -1)$?
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Quadrant IV. Positive x and negative y locate the point in the lower-right quadrant.
Quadrant IV. Positive x and negative y locate the point in the lower-right quadrant.
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What quadrant contains the point $(3, 8)$?
What quadrant contains the point $(3, 8)$?
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Quadrant I. Positive coordinates position the point in the upper-right quadrant.
Quadrant I. Positive coordinates position the point in the upper-right quadrant.
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Identify the point that is symmetric to $(4, -7)$ across the $y$-axis.
Identify the point that is symmetric to $(4, -7)$ across the $y$-axis.
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The point is $(-4, -7)$. Reflection across the y-axis negates the x-coordinate while preserving the y-coordinate.
The point is $(-4, -7)$. Reflection across the y-axis negates the x-coordinate while preserving the y-coordinate.
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Identify the coordinates of a point $2$ units left and $5$ units up from the origin.
Identify the coordinates of a point $2$ units left and $5$ units up from the origin.
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The point is $(-2, 5)$. Moving left from the origin decreases the x-coordinate, while moving up increases the y-coordinate.
The point is $(-2, 5)$. Moving left from the origin decreases the x-coordinate, while moving up increases the y-coordinate.
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What can you conclude if a point has $y = 0$?
What can you conclude if a point has $y = 0$?
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It lies on the $x$-axis. A y-coordinate of zero places the point directly on the horizontal x-axis, with no vertical displacement.
It lies on the $x$-axis. A y-coordinate of zero places the point directly on the horizontal x-axis, with no vertical displacement.
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What can you conclude if a point has $x = 0$?
What can you conclude if a point has $x = 0$?
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It lies on the $y$-axis. An x-coordinate of zero positions the point on the vertical y-axis, with no horizontal displacement.
It lies on the $y$-axis. An x-coordinate of zero positions the point on the vertical y-axis, with no horizontal displacement.
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Identify the $y$-coordinate of the point $(7, -3)$.
Identify the $y$-coordinate of the point $(7, -3)$.
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The $y$-coordinate is $-3$. The y-coordinate is the second value in the ordered pair, indicating the vertical position.
The $y$-coordinate is $-3$. The y-coordinate is the second value in the ordered pair, indicating the vertical position.
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Identify the $x$-coordinate of the point $(7, -3)$.
Identify the $x$-coordinate of the point $(7, -3)$.
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The $x$-coordinate is $7$. The x-coordinate is the first value in the ordered pair, representing the horizontal position.
The $x$-coordinate is $7$. The x-coordinate is the first value in the ordered pair, representing the horizontal position.
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What quadrant contains the point $(-4, 6)$?
What quadrant contains the point $(-4, 6)$?
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Quadrant II. With negative x and positive y, the point falls in the upper-left quadrant.
Quadrant II. With negative x and positive y, the point falls in the upper-left quadrant.
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What quadrant contains the point $(-2, -9)$?
What quadrant contains the point $(-2, -9)$?
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Quadrant III. Both coordinates negative place the point in the lower-left quadrant.
Quadrant III. Both coordinates negative place the point in the lower-left quadrant.
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Which quadrant contains points where $x > 0$ and $y < 0$?
Which quadrant contains points where $x > 0$ and $y < 0$?
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Quadrant IV. Quadrant IV consists of points with positive x and negative y, positioned in the lower-right section.
Quadrant IV. Quadrant IV consists of points with positive x and negative y, positioned in the lower-right section.
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Which quadrant contains points where $x < 0$ and $y < 0$?
Which quadrant contains points where $x < 0$ and $y < 0$?
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Quadrant III. Quadrant III includes points where both coordinates are negative, situated in the lower-left section.
Quadrant III. Quadrant III includes points where both coordinates are negative, situated in the lower-left section.
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Which quadrant contains points where $x < 0$ and $y > 0$?
Which quadrant contains points where $x < 0$ and $y > 0$?
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Quadrant II. Quadrant II encompasses points with negative x and positive y, located in the upper-left section.
Quadrant II. Quadrant II encompasses points with negative x and positive y, located in the upper-left section.
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Which quadrant contains points where $x > 0$ and $y > 0$?
Which quadrant contains points where $x > 0$ and $y > 0$?
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Quadrant I. Quadrant I is defined as the region where both coordinates are positive, in the upper-right section of the plane.
Quadrant I. Quadrant I is defined as the region where both coordinates are positive, in the upper-right section of the plane.
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What does a negative $y$-coordinate mean about a point’s location?
What does a negative $y$-coordinate mean about a point’s location?
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It is below the $x$-axis. Negative y-values place points below the x-axis according to the coordinate system's vertical orientation.
It is below the $x$-axis. Negative y-values place points below the x-axis according to the coordinate system's vertical orientation.
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What does a negative $x$-coordinate mean about a point’s location?
What does a negative $x$-coordinate mean about a point’s location?
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It is left of the $y$-axis. Negative x-values indicate positions to the left of the y-axis in the coordinate plane's standard orientation.
It is left of the $y$-axis. Negative x-values indicate positions to the left of the y-axis in the coordinate plane's standard orientation.
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What is the coordinate of the origin on the coordinate plane?
What is the coordinate of the origin on the coordinate plane?
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The origin is $(0, 0)$. The origin serves as the reference point where the x-axis and y-axis intersect, with both coordinates equal to zero.
The origin is $(0, 0)$. The origin serves as the reference point where the x-axis and y-axis intersect, with both coordinates equal to zero.
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What is the correct order for an ordered pair: $(x, y)$ or $(y, x)$?
What is the correct order for an ordered pair: $(x, y)$ or $(y, x)$?
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Use $(x, y)$: first $x$, then $y$. Ordered pairs follow the convention of listing the horizontal coordinate before the vertical coordinate to standardize point location.
Use $(x, y)$: first $x$, then $y$. Ordered pairs follow the convention of listing the horizontal coordinate before the vertical coordinate to standardize point location.
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What do the coordinates $(x, y)$ represent for a point on the coordinate plane?
What do the coordinates $(x, y)$ represent for a point on the coordinate plane?
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$x$ is horizontal position; $y$ is vertical position. In the Cartesian coordinate system, the first value in an ordered pair indicates the horizontal distance from the y-axis, and the second indicates the vertical distance from the x-axis.
$x$ is horizontal position; $y$ is vertical position. In the Cartesian coordinate system, the first value in an ordered pair indicates the horizontal distance from the y-axis, and the second indicates the vertical distance from the x-axis.
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Identify the coordinates of a point $7$ units right and $3$ units down from the origin.
Identify the coordinates of a point $7$ units right and $3$ units down from the origin.
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The point is $(7, -3)$. Rightward movement increases the x-coordinate, and downward movement decreases the y-coordinate from the origin.
The point is $(7, -3)$. Rightward movement increases the x-coordinate, and downward movement decreases the y-coordinate from the origin.
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Identify the coordinates of a point on the $x$-axis with $x = -6$.
Identify the coordinates of a point on the $x$-axis with $x = -6$.
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The point is $(-6, 0)$. Points on the x-axis have a y-coordinate of zero, combined with the given x-value.
The point is $(-6, 0)$. Points on the x-axis have a y-coordinate of zero, combined with the given x-value.
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