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Quadrilateral PQRS is plotted in the coordinate plane. The quadrilateral is dilated by a scale factor of 2/3 to create quadrilateral P’Q’R’S’. Write three statements that compare quadrilateral PQRS and quadrilateral P’Q’R’S’.

Quadrilateral PQRS is plotted in the coordinate plane The quadrilateral is dilated by a scale factor of 23 to create quadrilateral PQRS Write three statements t class=
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Answer:

  1. They are similar to each other.
  2. They are not congruent.
  3. the surface area is different for each one.

Step-by-step explanation:

Q -> Q'    (-3,4) -> (-2,2.666666)

              -3*2/3=-2      [tex]4*\frac{2}{3} = 2\frac{2}{3}[/tex]

P -> P'    (-5,1) -> (-3.333333, .666666

              [tex]-5 *\frac{2}{3} = -3\frac{1}{3}[/tex]         [tex]1*\frac{2}{3} = \frac{2}{3}[/tex]

R -> R'    (-3,-3) -> (-2,-2)

               [tex]-3*\frac23 = -2[/tex]

S -> S'     (-5,-1) -> (-3.333333,-.666666)

              [tex]-5*\frac23 = -3\frac13[/tex]   [tex]-1 *\frac23 = -\frac23[/tex]

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