6th Grade Math Flashcards: Draw Polygons On Coordinate Plane

What this deck covers

This deck focuses on Draw Polygons On 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: Identify the error: A student says the length from $(2,1)$ to $(2,8)$ is $|2-2|=0$.

Answer: Use $|8-1|$, so the length is $7$. Student used $x$-values instead of $y$-values for vertical segment.

Flashcard 2: What does the ordered pair $(x,y)$ represent on a coordinate plane?

Answer: $x$ is horizontal, $y$ is vertical. First coordinate gives position left/right, second gives position up/down.

Flashcard 3: Identify whether the segment from $(-5,4)$ to $(3,4)$ is horizontal or vertical.

Answer: Horizontal. Same $y$-coordinate ($y=4$) indicates horizontal line.

Flashcard 4: State the rule for the horizontal distance between $(x_1,y)$ and $(x_2,y)$.

Answer: Distance $=|x_2-x_1|$. Absolute value ensures positive distance between $x$-coordinates.

Flashcard 5: What is the perimeter of the rectangle with vertices $(0,0)$, $(5,0)$, $(5,3)$, $(0,3)$?

Answer: $16$. Rectangle has sides $5$ and $3$, so perimeter $=2(5+3)=16$.

Flashcard 6: A park path runs from $(0,2)$ to $(0,9)$ on a map where $1$ unit $=10$ m. What is its real length?

Answer: $70$ m. Distance is $|9-2| = 7$ units; multiply by scale factor $10$.

Flashcard 7: What is the missing coordinate in (4,
) so that the point is directly above $(4,-2)$ by $7$ units?

Answer: $5$. Add $7$ to $y=-2$: $-2+7=5$.

Flashcard 8: What is the distance between $(0,0)$ and $(0,7)$ on a coordinate plane?

Answer: $7$. Vertical segment: $|7-0|=7$ units.

Flashcard 9: What is the length of the vertical segment from $(-1,6)$ to $(-1,2)$?

Answer: $4$. Calculate $|2-6| = |-4| = 4$ since $x$-coordinates match.

Flashcard 10: Which coordinate stays the same for a horizontal side of a polygon: $x$ or $y$?

Answer: $y$ stays the same. Horizontal means parallel to $x$-axis, so $y$ is constant.

Flashcard 11: What is the distance between $(6,-3)$ and $(1,-3)$ on a coordinate plane?

Answer: $5$. Same $y$-coordinate means horizontal: $|6-1|=5$.

Flashcard 12: Find and correct the error: A student says the distance from $(2,3)$ to $(2,-1)$ is $-4$.

Answer: Correct distance: $|{-1}-3|=4$. Distance must be positive; absolute value gives $4$, not $-4$.

Flashcard 13: What is the length of the vertical segment from $(3,-2)$ to $(3,5)$?

Answer: $7$. Calculate $|5-(-2)| = |5+2| = 7$ since $x$-coordinates match.

Flashcard 14: What does the second coordinate $y$ tell you about a point on the coordinate plane?

Answer: $y$ is the vertical position (up or down). The $y$-coordinate measures distance from the $x$-axis.

Flashcard 15: What is the length of the segment from $(0,0)$ to $(0,-9)$?

Answer: $9$. Vertical segment: $|0-(-9)|=|0+9|=9$.

Flashcard 16: What is the name of the horizontal axis on a coordinate plane?

Answer: The $x$-axis. The horizontal line through the origin where $y = 0$.

Flashcard 17: What is the length of the segment from $(3,-2)$ to $(3,6)$?

Answer: $8$. Vertical segment: $|6-(-2)|=|6+2|=8$.

Flashcard 18: Identify the missing coordinate if a horizontal side goes from $(2,4)$ to $(7,\square)$.

Answer: $4$. Horizontal segments require same $y$-coordinate throughout.

Flashcard 19: Identify which coordinate stays the same for a vertical segment on the coordinate plane.

Answer: The $x$-coordinate stays the same. Points move only up/down when $x$ is constant.

Flashcard 20: What is the missing vertex of an axis-aligned rectangle with $(-3,2)$, $(4,2)$, $(-3,-1)$ given?

Answer: $(4,-1)$. Fourth corner shares $x=4$ with $(4,2)$ and $y=-1$ with $(-3,-1)$.

Flashcard 21: State the rule for the length of a vertical segment from $(x,y_1)$ to $(x,y_2)$.

Answer: Length $=|y_2-y_1|$. For vertical segments, subtract $y$-values and take absolute value.

Flashcard 22: What is the length of the segment from $(-5,4)$ to $(2,4)$?

Answer: $7$. Horizontal segment: $|2-(-5)|=|2+5|=7$.

Flashcard 23: What is the area of the right triangle with vertices $(0,0)$, $(6,0)$, $(0,4)$?

Answer: $12$. Right triangle area =rac{1}{2}×base×height=rac{1}{2}×6×4=12.

Flashcard 24: What is the ordered pair for a point with $x=-3$ and $y=5$?

Answer: $(-3,5)$. Ordered pairs are written as $(x,y)$ with parentheses and comma.

Flashcard 25: What is the rule for a horizontal segment between $(x_1,y)$ and $(x_2,y)$?

Answer: Same $y$; length is $|x_2-x_1|$. Horizontal segments have same $y$-coordinate; subtract $x$-values and take absolute value.

Flashcard 26: What does the ordered pair $(x,y)$ represent on the coordinate plane?

Answer: $(x,y)$ means $x$ units right/left and $y$ units up/down. First coordinate shows horizontal position, second shows vertical position.

Flashcard 27: What is the length of the horizontal segment from $(-4,1)$ to $(2,1)$?

Answer: $6$. Calculate $|2-(-4)| = |2+4| = 6$ since $y$-coordinates match.

Flashcard 28: What is the distance between $x=-2$ and $x=7$ on a coordinate line (a horizontal change)?

Answer: $9$. Distance: $|7-(-2)|=|7+2|=9$.

Flashcard 29: Identify whether the segment from $(2,1)$ to $(2,7)$ is horizontal or vertical.

Answer: Vertical. Same $x$-coordinate means the segment goes up/down.

Flashcard 30: What is the area of the rectangle with vertices $(1,1)$, $(6,1)$, $(6,4)$, $(1,4)$?

Answer: $15$. Rectangle has width $5$ and height $3$, so area $=5×3=15$.

Flashcard 31: What is the area of the rectangle with vertices $(1,1)$, $(6,1)$, $(6,4)$, $(1,4)$?

Answer: $15$. Area: length × width = $5×3=15$.

Flashcard 32: A map scale is $1$ unit $=2$ miles. Points are $(1,1)$ and $(1,6)$. What is the real distance?

Answer: $10$ miles. Map distance is $5$ units; real distance $=5×2=10$ miles.

Flashcard 33: What is the missing vertex to complete a rectangle: $(2,1)$, $(6,1)$, $(6,5)$, $(\square,\square)$?

Answer: $(2,5)$. Fourth corner shares $x$ with first point and $y$ with third point.

Flashcard 34: What is the distance between $(-4,1)$ and $(2,1)$ on a coordinate plane?

Answer: $6$. Same $y$-coordinate means horizontal: $|2-(-4)|=6$.

Flashcard 35: What is the length of the horizontal segment from $(5,-3)$ to $(1,-3)$?

Answer: $4$. Calculate $|1-5| = |-4| = 4$ since $y$-coordinates match.

Flashcard 36: What is the perimeter of the rectangle with vertices $(0,0)$, $(5,0)$, $(5,2)$, $(0,2)$?

Answer: $14$. Add all four sides: $5+2+5+2 = 14$ units.

Flashcard 37: What is the perimeter of the square with vertices $(1,1)$, $(4,1)$, $(4,4)$, $(1,4)$?

Answer: $12$. Four equal sides of length $3$: $4 imes 3 = 12$ units.

Flashcard 38: What is the name of the vertical axis on a coordinate plane?

Answer: The $y$-axis. The vertical line through the origin where $x = 0$.

Flashcard 39: Identify whether the segment from $(-4,3)$ to $(5,3)$ is horizontal or vertical.

Answer: Horizontal. Same $y$-coordinate means the segment goes left/right.

Flashcard 40: What is the rule for a vertical segment between $(x,y_1)$ and $(x,y_2)$?

Answer: Same $x$; length is $|y_2-y_1|$. Vertical segments have same $x$-coordinate; subtract $y$-values and take absolute value.

Flashcard 41: What is the perimeter of the rectangle with vertices $(1,1)$, $(6,1)$, $(6,4)$, $(1,4)$?

Answer: $16$. Perimeter: $2(5)+2(3)=10+6=16$.

Flashcard 42: Identify the missing coordinate if a vertical side goes from $(-3,1)$ to $(\square,6)$.

Answer: $-3$. Vertical segments require same $x$-coordinate throughout.

Flashcard 43: Identify whether the segment from $(2,1)$ to $(2,9)$ is horizontal or vertical.

Answer: Vertical. Same $x$-coordinate ($x=2$) indicates vertical line.

Flashcard 44: What is the distance between $(3,-2)$ and $(3,5)$ on a coordinate plane?

Answer: $7$. Same $x$-coordinate means vertical: $|5-(-2)|=7$.

Flashcard 45: What is the perimeter of the square with vertices $(0,0)$, $(4,0)$, $(4,4)$, $(0,4)$?

Answer: $16$. Square has side length $4$, so perimeter $=4×4=16$.

Flashcard 46: What is the side length of the square with vertices $(-2,-2)$, $(1,-2)$, $(1,1)$, $(-2,1)$?

Answer: $3$. Distance between adjacent vertices: $|1-(-2)|=3$.

Flashcard 47: Which coordinate stays the same for a vertical side of a polygon: $x$ or $y$?

Answer: $x$ stays the same. Vertical means parallel to $y$-axis, so $x$ is constant.

Flashcard 48: Identify which coordinate stays the same for a horizontal segment on the coordinate plane.

Answer: The $y$-coordinate stays the same. Points move only left/right when $y$ is constant.

Flashcard 49: Identify the error: A student says length from $(3,2)$ to $(3,9)$ is $3-9=-6$.

Answer: Use absolute value: $|9-2|=7$. Distance must be positive; absolute value ensures this.

Flashcard 50: What is the length of the segment from $(-6,1)$ to $(-1,1)$?

Answer: $5$. Horizontal segment: $|-1-(-6)|=|-1+6|=5$.

Flashcard 51: What is the missing coordinate in (
,3) so that the point is $9$ units to the right of $(-2,3)$?

Answer: $7$. Add $9$ to $x=-2$: $-2+9=7$.

Flashcard 52: State the rule for the vertical distance between $(x,y_1)$ and $(x,y_2)$.

Answer: Distance $=|y_2-y_1|$. Absolute value ensures positive distance between $y$-coordinates.

Flashcard 53: What is the length of the vertical side of triangle with vertices $(2,1)$, $(2,8)$, $(7,1)$?

Answer: $7$. Vertical side from $(2,1)$ to $(2,8)$ has length $|8-1|=7$.

Flashcard 54: State the rule for the length of a horizontal segment from $(x_1,y)$ to $(x_2,y)$.

Answer: Length $=|x_2-x_1|$. For horizontal segments, subtract $x$-values and take absolute value.

Flashcard 55: What does the first coordinate $x$ tell you about a point on the coordinate plane?

Answer: $x$ is the horizontal position (left or right). The $x$-coordinate measures distance from the $y$-axis.

Flashcard 56: What is the missing vertex of an axis-aligned rectangle with $(2,1)$, $(2,6)$, $(7,1)$ given?

Answer: $(7,6)$. Fourth corner shares $x=7$ with $(7,1)$ and $y=6$ with $(2,6)$.

Flashcard 57: A park is a rectangle with corners $(0,0)$, $(0,8)$, $(5,8)$, $(5,0)$. What is its perimeter?

Answer: $26$. Rectangle sides are $8$ and $5$, so perimeter $=2(8+5)=26$.