anonymous
  • anonymous
Find Each segment length. Tell whether the segments are congruent AB: A(0,2), B(-3,8) CD: C(-2,2), D(0,-4)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
what is the formular?
anonymous
  • anonymous
\[d=\sqrt{(x2-x1)^{2} + (y2-y1)^{2}}\]
anonymous
  • anonymous
so to find AB you already know the coordinates so: \[AB= \sqrt{(-3-0)^{2}+(8-2)^{2}}\]

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anonymous
  • anonymous
\[AB=\sqrt{(-3)^{2} +5^{2}}\]
anonymous
  • anonymous
\[AB=\sqrt{9+25}\]
anonymous
  • anonymous
\[AB=\sqrt{34}\]
anonymous
  • anonymous
You could leave AB = square roof 34 or round it to 5.83
anonymous
  • anonymous
Do the same to CD: CD= spuare roof of [ (0- (-2) ^2) + (-4-2)^2 ] CD= square roof of [ ( 0+2)^2 + (-6)^2 ] CD= square roof of ( 4 +36) CD = square roof of 40 CD = 2 square roof 10 or 6.32
anonymous
  • anonymous
congruents or not based on it definition was : exacly the same. Since you know 2 of it leagth, can you said it was congruents or not? 5.83 = 6.32 ( false ) => it NOT CONGRUENT! :)

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