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  • Geometry
  • Quadrilaterals
  • Quadrilaterals on the coordinate plane

Quadrilaterals on the coordinate plane

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  • Question 1:
    1 pts
    The coordinates of three of the vertices of rectangle $ ABCD $ are $A(1, -2), B(4, -2),$ and $ C(4, 3)$. What are the coordinates of point $D$?
    $D(1,2)$
    $D(3,2)$
    $D(1,3)$
    $D(3,1)$
  • Question 2:
    1 pts
    The squre has an area of $25$ sq. units.
  • Question 3:
    1 pts
    The coordinates of three of the vertices of parallelogram $ ABCD $ are $A(0,0), B(5,0),$ and $ C(6, 3)$. What are the coordinates of point $D$?
    $D(3,1)$
    $D(1,3)$
    $D(2,3)$
    $D(3,2)$
  • Question 4:
    1 pts
    Which expression can be used to find the slope of $\overline{PS}$?
    slope of $\overline{PS}=\dfrac{10-4}{2-6}=\dfrac{6}{4}=\dfrac{3}{2}$
    slope of $\overline{PS}=\dfrac{10-4}{2+6}=\dfrac{6}{8}=\dfrac{3}{4}$
    slope of $\overline{PS}=\dfrac{10+4}{2+6}=\dfrac{14}{8}=\dfrac{7}{4}$
    slope of $\overline{PS}=\dfrac{10+4}{2-6}=\dfrac{14}{-4}=-\dfrac{7}{2}$
  • Question 5:
    2 pts
    Find the area of the parallelogram plotted below.
    $A=$
  • Question 6:
    3 pts
    Trapezoid $ABCD$ is graphed in the coordinate plane. The following are the vertices of the trapezoid: $A(-6,-4), B(12,-4), C(8,8), D(0,8)$ Given these coordinates, what is the length of side $AD$, of this trapezoid?
  • Question 7:
    2 pts
    Sort the following expressions from least to greatest based on the coordinates of the rectangle below.
    $ z < y < x $
    $z < x < y$
    $x < z < y$
    $y < x < z$
  • Question 8:
    2 pts
    Does coordinate $m$ or coordinate $n$ represent a greater number?
    $m$
    $n$
    they are equal
  • Question 9:
    3 pts
    Quadrilateral $JKLM$ has vertices $J(-12,-4), K(10,-4), L(8,2), M(-4,2)$. If slope of $\overline{JK}=\mbox{slope of } \overline{LM}=0$ then quadrilateral $JKLM$ is a trapezoid.
  • Question 10:
    3 pts
    Which is the most precise name for figure $PQRS,$ with vertices $P(2,-4), K(10,2), L(2,8), M(-6,2)$

    rectangle

    rhombus

    square

    trapezoid

  • Question 11:
    3 pts
    Which is the most precise name for figure $PQRS,$ with vertices $J (-10,-5), K (-5,-10), L (10,5), M (5,10)$

    rectangle

    rhombus

    square

    trapezoid

  • Question 12:
    3 pts
    The missing value $x,x_{1},x_{2},x_{3}$ for the isosceles trapezoid are $x=a,x_{1}=b,x_{2}=2a,x_{3}=c$.