6th Grade Math Flashcards: Understand Signs In Coordinate Plane

What this deck covers

This deck focuses on Understand Signs In Coordinate Plane, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Which axis contains all points with $y=0$?

Answer: The $x$-axis. Points with zero $y$-coordinate lie horizontally on the $x$-axis.

Flashcard 2: Which axis is the line of reflection if $(a,b)$ maps to $(a,-b)$?

Answer: The $x$-axis. Only $y$ changes sign, so reflection is across horizontal axis.

Flashcard 3: What is the location name for the point $(0,0)$ on the coordinate plane?

Answer: The origin. The intersection of the $x$ and $y$ axes is called the origin.

Flashcard 4: Which axis contains all points with $x=0$?

Answer: The $y$-axis. Points with zero $x$-coordinate lie vertically on the $y$-axis.

Flashcard 5: Identify the reflection of $(x,y)$ across the $y$-axis.

Answer: $(-x,y)$. Reflecting across $y$-axis changes the sign of $x$ only.

Flashcard 6: What quadrant contains points with $x>0$ and $y<0$?

Answer: Quadrant IV. Positive $x$ and negative $y$ place points in the lower-right quadrant.

Flashcard 7: Identify the quadrant or axis location of the point $(9,0)$.

Answer: On the $x$-axis. When $y=0$, the point lies on the horizontal $x$-axis.

Flashcard 8: Identify the reflection of $(6,-1)$ across both axes (through the origin).

Answer: $(-6,1)$. Reflecting through origin changes both signs: $(6,-1)$ to $(-6,1)$.

Flashcard 9: Identify the quadrant or axis location of the point $(4,-2)$.

Answer: Quadrant IV. Positive $x$ and negative $y$ place this point in the lower-right quadrant.

Flashcard 10: What does a negative $y$-coordinate mean about a point's position relative to the $x$-axis?

Answer: The point is below the $x$-axis. Negative $y$ values are always below the horizontal axis.

Flashcard 11: What do the signs in an ordered pair $(x,y)$ tell you about the point's location on the coordinate plane?

Answer: They tell the directions from the origin: $x$ left/right, $y$ down/up. Positive means right/up from origin; negative means left/down.

Flashcard 12: Identify the reflection of $(x,y)$ across both axes (through the origin).

Answer: $(-x,-y)$. Reflecting through origin changes both signs.

Flashcard 13: What quadrant contains points with $x<0$ and $y<0$?

Answer: Quadrant III. Both coordinates are negative in the lower-left quadrant.

Flashcard 14: What reflection across the $x$-axis does to $(x,y)$ in ordered-pair form?

Answer: $(x,y)\rightarrow(x,-y)$. Reflecting across $x$-axis negates the $y$-coordinate only.

Flashcard 15: What reflection across the $y$-axis does to $(x,y)$ in ordered-pair form?

Answer: $(x,y)\rightarrow(-x,y)$. Reflecting across $y$-axis negates the $x$-coordinate only.

Flashcard 16: What reflection across both axes (through the origin) does to $(x,y)$?

Answer: $(x,y)\rightarrow(-x,-y)$. Reflecting through the origin negates both coordinates.

Flashcard 17: Which quadrant contains the point $(3,-5)$?

Answer: Quadrant IV. Positive $x$ and negative $y$ place it in the lower right.

Flashcard 18: What does a positive $y$-coordinate mean about a point's position relative to the $x$-axis?

Answer: The point is above the $x$-axis. Positive $y$ values are always above the horizontal axis.

Flashcard 19: What are the signs of coordinates for Quadrant III?

Answer: Quadrant III: $(-,-)$. Both coordinates negative means lower left quadrant.

Flashcard 20: Which quadrant contains the point $(3,5)$?

Answer: Quadrant I. Both coordinates are positive, placing it in the upper right.

Flashcard 21: Identify the quadrant or axis location of the point $(0,-8)$.

Answer: On the $y$-axis. When $x=0$, the point lies on the vertical $y$-axis.

Flashcard 22: What is the reflection of $(4,-2)$ across the $x$-axis?

Answer: $(4,2)$. Change sign of $y$: $-2$ becomes $2$, $x$ stays $4$.

Flashcard 23: Identify the quadrant or axis location of the point $(-6,-1)$.

Answer: Quadrant III. Both coordinates are negative, placing it in the lower-left quadrant.

Flashcard 24: Identify the reflection of $(-5,2)$ across the $y$-axis.

Answer: $(5,2)$. Reflecting across $y$-axis changes $x$ from $-5$ to $5$.

Flashcard 25: Identify the reflection of $(3,-4)$ across the $x$-axis.

Answer: $(3,4)$. Reflecting across $x$-axis changes $y$ from $-4$ to $4$.

Flashcard 26: Identify the quadrant or axis location of the point $(-3,5)$.

Answer: Quadrant II. Negative $x$ and positive $y$ place this point in the upper-left quadrant.

Flashcard 27: What does a negative $x$-coordinate mean about a point's position relative to the $y$-axis?

Answer: The point is to the left of the $y$-axis. Negative $x$ values are always left of the vertical axis.

Flashcard 28: Which quadrant contains the point $(-3,-5)$?

Answer: Quadrant III. Both coordinates are negative, placing it in the lower left.

Flashcard 29: What are the signs of coordinates for Quadrant II?

Answer: Quadrant II: $(-,+)$. Negative $x$, positive $y$ means upper left quadrant.

Flashcard 30: What quadrant contains points with $x<0$ and $y>0$?

Answer: Quadrant II. Negative $x$ and positive $y$ place points in the upper-left quadrant.

Flashcard 31: What is the reflection of $(4,-2)$ across both axes?

Answer: $(-4,2)$. Change both signs: $(4,-2)$ becomes $(-4,2)$.

Flashcard 32: What quadrant contains points with $x>0$ and $y>0$?

Answer: Quadrant I. Both coordinates are positive in the upper-right quadrant.

Flashcard 33: Which quadrant contains the point $(-3,5)$?

Answer: Quadrant II. Negative $x$ and positive $y$ place it in the upper left.

Flashcard 34: What does a positive $x$-coordinate mean about a point's position relative to the $y$-axis?

Answer: The point is to the right of the $y$-axis. Positive $x$ values are always right of the vertical axis.

Flashcard 35: Identify the reflection of $(x,y)$ across the $x$-axis.

Answer: $(x,-y)$. Reflecting across $x$-axis changes the sign of $y$ only.

Flashcard 36: What do the signs of $x$ and $y$ in an ordered pair $(x,y)$ tell you on a coordinate plane?

Answer: 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.

Flashcard 37: What is the reflection of $(4,-2)$ across the $y$-axis?

Answer: $(-4,-2)$. Change sign of $x$: $4$ becomes $-4$, $y$ stays $-2$.

Flashcard 38: What are the signs of coordinates for Quadrant I?

Answer: Quadrant I: $(+,+)$. Both coordinates positive means upper right quadrant.

Flashcard 39: Identify the quadrant or axis location of the point $(2,7)$.

Answer: Quadrant I. Both coordinates are positive, placing it in the upper-right quadrant.

Flashcard 40: What are the signs of coordinates for Quadrant IV?

Answer: Quadrant IV: $(+,-)$. Positive $x$, negative $y$ means lower right quadrant.