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• Geometry
• 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 $x=a,x_{1}=b,x_{2}=2a,x_{3}=c$.