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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 ABCD are A(1,2),B(4,2),A(1, -2), B(4, -2), and C(4,3) C(4, 3). What are the coordinates of point DD?
    D(1,2)D(1,2)
    D(3,2)D(3,2)
    D(1,3)D(1,3)
    D(3,1)D(3,1)
  • Question 2:
    1 pts
    The squre has an area of 2525 sq. units.
  • Question 3:
    1 pts
    The coordinates of three of the vertices of parallelogram ABCD ABCD are A(0,0),B(5,0),A(0,0), B(5,0), and C(6,3) C(6, 3). What are the coordinates of point DD?
    D(3,1)D(3,1)
    D(1,3)D(1,3)
    D(2,3)D(2,3)
    D(3,2)D(3,2)
  • Question 4:
    1 pts
    Which expression can be used to find the slope of PS\overline{PS}?
    slope of PS=10426=64=32\overline{PS}=\dfrac{10-4}{2-6}=\dfrac{6}{4}=\dfrac{3}{2}
    slope of PS=1042+6=68=34\overline{PS}=\dfrac{10-4}{2+6}=\dfrac{6}{8}=\dfrac{3}{4}
    slope of PS=10+42+6=148=74\overline{PS}=\dfrac{10+4}{2+6}=\dfrac{14}{8}=\dfrac{7}{4}
    slope of PS=10+426=144=72\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=A=
  • Question 6:
    3 pts
    Trapezoid ABCDABCD 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)A(-6,-4), B(12,-4), C(8,8), D(0,8) Given these coordinates, what is the length of side ADAD, 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 < y < x
    z<x<yz < x < y
    x<z<yx < z < y
    y<x<zy < x < z
  • Question 8:
    2 pts
    Does coordinate mm or coordinate nn represent a greater number?
    mm
    nn
    they are equal
  • Question 9:
    3 pts
    Quadrilateral JKLMJKLM has vertices J(12,4),K(10,4),L(8,2),M(4,2)J(-12,-4), K(10,-4), L(8,2), M(-4,2). If slope of JK=\mboxslopeofLM=0\overline{JK}=\mbox{slope of } \overline{LM}=0 then quadrilateral JKLMJKLM is a trapezoid.
  • Question 10:
    3 pts
    Which is the most precise name for figure PQRS,PQRS, with vertices P(2,4),K(10,2),L(2,8),M(6,2)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,PQRS, with vertices J(10,5),K(5,10),L(10,5),M(5,10)J (-10,-5), K (-5,-10), L (10,5), M (5,10)

    rectangle

    rhombus

    square

    trapezoid

  • Question 12:
    3 pts
    The missing value x,x1,x2,x3x,x_{1},x_{2},x_{3} for the isosceles trapezoid are x=a,x1=b,x2=2a,x3=cx=a,x_{1}=b,x_{2}=2a,x_{3}=c.