Draw Polygons on Coordinate Plane - 6th Grade Math
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What is the area of the rectangle with vertices $(1,1)$, $(6,1)$, $(6,4)$, $(1,4)$?
What is the area of the rectangle with vertices $(1,1)$, $(6,1)$, $(6,4)$, $(1,4)$?
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$15$. Rectangle has width $5$ and height $3$, so area $=5×3=15$.
$15$. Rectangle has width $5$ and height $3$, so area $=5×3=15$.
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What is the missing vertex of an axis-aligned rectangle with $(-3,2)$, $(4,2)$, $(-3,-1)$ given?
What is the missing vertex of an axis-aligned rectangle with $(-3,2)$, $(4,2)$, $(-3,-1)$ given?
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$(4,-1)$. Fourth corner shares $x=4$ with $(4,2)$ and $y=-1$ with $(-3,-1)$.
$(4,-1)$. Fourth corner shares $x=4$ with $(4,2)$ and $y=-1$ with $(-3,-1)$.
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What is the perimeter of the square with vertices $(0,0)$, $(4,0)$, $(4,4)$, $(0,4)$?
What is the perimeter of the square with vertices $(0,0)$, $(4,0)$, $(4,4)$, $(0,4)$?
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$16$. Square has side length $4$, so perimeter $=4×4=16$.
$16$. Square has side length $4$, so perimeter $=4×4=16$.
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What is the side length of the square with vertices $(-2,-2)$, $(1,-2)$, $(1,1)$, $(-2,1)$?
What is the side length of the square with vertices $(-2,-2)$, $(1,-2)$, $(1,1)$, $(-2,1)$?
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$3$. Distance between adjacent vertices: $|1-(-2)|=3$.
$3$. Distance between adjacent vertices: $|1-(-2)|=3$.
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What is the area of the right triangle with vertices $(0,0)$, $(6,0)$, $(0,4)$?
What is the area of the right triangle with vertices $(0,0)$, $(6,0)$, $(0,4)$?
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$12$. Right triangle area $= rac{1}{2}×base×height= rac{1}{2}×6×4=12$.
$12$. Right triangle area $= rac{1}{2}×base×height= rac{1}{2}×6×4=12$.
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What is the length of the vertical side of triangle with vertices $(2,1)$, $(2,8)$, $(7,1)$?
What is the length of the vertical side of triangle with vertices $(2,1)$, $(2,8)$, $(7,1)$?
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$7$. Vertical side from $(2,1)$ to $(2,8)$ has length $|8-1|=7$.
$7$. Vertical side from $(2,1)$ to $(2,8)$ has length $|8-1|=7$.
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A map scale is $1$ unit $=2$ miles. Points are $(1,1)$ and $(1,6)$. What is the real distance?
A map scale is $1$ unit $=2$ miles. Points are $(1,1)$ and $(1,6)$. What is the real distance?
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$10$ miles. Map distance is $5$ units; real distance $=5×2=10$ miles.
$10$ miles. Map distance is $5$ units; real distance $=5×2=10$ miles.
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A park is a rectangle with corners $(0,0)$, $(0,8)$, $(5,8)$, $(5,0)$. What is its perimeter?
A park is a rectangle with corners $(0,0)$, $(0,8)$, $(5,8)$, $(5,0)$. What is its perimeter?
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$26$. Rectangle sides are $8$ and $5$, so perimeter $=2(8+5)=26$.
$26$. Rectangle sides are $8$ and $5$, so perimeter $=2(8+5)=26$.
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Identify the error: A student says length from $(3,2)$ to $(3,9)$ is $3-9=-6$.
Identify the error: A student says length from $(3,2)$ to $(3,9)$ is $3-9=-6$.
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Use absolute value: $|9-2|=7$. Distance must be positive; absolute value ensures this.
Use absolute value: $|9-2|=7$. Distance must be positive; absolute value ensures this.
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What does the ordered pair $(x,y)$ represent on a coordinate plane?
What does the ordered pair $(x,y)$ represent on a coordinate plane?
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$x$ is horizontal, $y$ is vertical. First coordinate gives position left/right, second gives position up/down.
$x$ is horizontal, $y$ is vertical. First coordinate gives position left/right, second gives position up/down.
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What is the rule for a vertical segment between $(x,y_1)$ and $(x,y_2)$?
What is the rule for a vertical segment between $(x,y_1)$ and $(x,y_2)$?
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Same $x$; length is $|y_2-y_1|$. Vertical segments have same $x$-coordinate; subtract $y$-values and take absolute value.
Same $x$; length is $|y_2-y_1|$. Vertical segments have same $x$-coordinate; subtract $y$-values and take absolute value.
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What is the rule for a horizontal segment between $(x_1,y)$ and $(x_2,y)$?
What is the rule for a horizontal segment between $(x_1,y)$ and $(x_2,y)$?
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Same $y$; length is $|x_2-x_1|$. Horizontal segments have same $y$-coordinate; subtract $x$-values and take absolute value.
Same $y$; length is $|x_2-x_1|$. Horizontal segments have same $y$-coordinate; subtract $x$-values and take absolute value.
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What is the distance between $(0,0)$ and $(0,7)$ on a coordinate plane?
What is the distance between $(0,0)$ and $(0,7)$ on a coordinate plane?
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$7$. Vertical segment: $|7-0|=7$ units.
$7$. Vertical segment: $|7-0|=7$ units.
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What is the distance between $(3,-2)$ and $(3,5)$ on a coordinate plane?
What is the distance between $(3,-2)$ and $(3,5)$ on a coordinate plane?
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$7$. Same $x$-coordinate means vertical: $|5-(-2)|=7$.
$7$. Same $x$-coordinate means vertical: $|5-(-2)|=7$.
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What is the distance between $(-4,1)$ and $(2,1)$ on a coordinate plane?
What is the distance between $(-4,1)$ and $(2,1)$ on a coordinate plane?
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$6$. Same $y$-coordinate means horizontal: $|2-(-4)|=6$.
$6$. Same $y$-coordinate means horizontal: $|2-(-4)|=6$.
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What is the distance between $(6,-3)$ and $(1,-3)$ on a coordinate plane?
What is the distance between $(6,-3)$ and $(1,-3)$ on a coordinate plane?
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$5$. Same $y$-coordinate means horizontal: $|6-1|=5$.
$5$. Same $y$-coordinate means horizontal: $|6-1|=5$.
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Identify whether the segment from $(2,1)$ to $(2,9)$ is horizontal or vertical.
Identify whether the segment from $(2,1)$ to $(2,9)$ is horizontal or vertical.
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Vertical. Same $x$-coordinate ($x=2$) indicates vertical line.
Vertical. Same $x$-coordinate ($x=2$) indicates vertical line.
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Identify whether the segment from $(-5,4)$ to $(3,4)$ is horizontal or vertical.
Identify whether the segment from $(-5,4)$ to $(3,4)$ is horizontal or vertical.
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Horizontal. Same $y$-coordinate ($y=4$) indicates horizontal line.
Horizontal. Same $y$-coordinate ($y=4$) indicates horizontal line.
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What is the missing vertex of an axis-aligned rectangle with $(2,1)$, $(2,6)$, $(7,1)$ given?
What is the missing vertex of an axis-aligned rectangle with $(2,1)$, $(2,6)$, $(7,1)$ given?
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$(7,6)$. Fourth corner shares $x=7$ with $(7,1)$ and $y=6$ with $(2,6)$.
$(7,6)$. Fourth corner shares $x=7$ with $(7,1)$ and $y=6$ with $(2,6)$.
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What is the perimeter of the rectangle with vertices $ (0,0) $, $ (5,0) $, $ (5,3) $, $ (0,3) $?
What is the perimeter of the rectangle with vertices $ (0,0) $, $ (5,0) $, $ (5,3) $, $ (0,3) $?
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$16$. Rectangle has sides $5$ and $3$, so perimeter $=2(5+3)=16$.
$16$. Rectangle has sides $5$ and $3$, so perimeter $=2(5+3)=16$.
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What does the ordered pair $(x,y)$ represent on the coordinate plane?
What does the ordered pair $(x,y)$ represent on the coordinate plane?
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$(x,y)$ means $x$ units right/left and $y$ units up/down. First coordinate shows horizontal position, second shows vertical position.
$(x,y)$ means $x$ units right/left and $y$ units up/down. First coordinate shows horizontal position, second shows vertical position.
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What is the perimeter of the square with vertices $(1,1)$, $(4,1)$, $(4,4)$, $(1,4)$?
What is the perimeter of the square with vertices $(1,1)$, $(4,1)$, $(4,4)$, $(1,4)$?
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$12$. Four equal sides of length $3$: $4 imes 3 = 12$ units.
$12$. Four equal sides of length $3$: $4 imes 3 = 12$ units.
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What is the perimeter of the rectangle with vertices $(0,0)$, $(5,0)$, $(5,2)$, $(0,2)$?
What is the perimeter of the rectangle with vertices $(0,0)$, $(5,0)$, $(5,2)$, $(0,2)$?
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$14$. Add all four sides: $5+2+5+2 = 14$ units.
$14$. Add all four sides: $5+2+5+2 = 14$ units.
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Identify the missing coordinate if a vertical side goes from $(-3,1)$ to $(\square,6)$.
Identify the missing coordinate if a vertical side goes from $(-3,1)$ to $(\square,6)$.
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$-3$. Vertical segments require same $x$-coordinate throughout.
$-3$. Vertical segments require same $x$-coordinate throughout.
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Identify the missing coordinate if a horizontal side goes from $(2,4)$ to $(7,\square)$.
Identify the missing coordinate if a horizontal side goes from $(2,4)$ to $(7,\square)$.
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$4$. Horizontal segments require same $y$-coordinate throughout.
$4$. Horizontal segments require same $y$-coordinate throughout.
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