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  • 09-11-2020
  • Mathematics
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Use the distance formula to show that the two triangles on the coordinate plane are congruent

Use the distance formula to show that the two triangles on the coordinate plane are congruent class=

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xenia168
xenia168 xenia168
  • 09-11-2020

Answer:

Step-by-step explanation:

d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} - y_{1} )^2}[/tex]

A(- 5, - 2) , B( - 1, - 6) , C ( - 9, - 6)

AB = √[(- 5 + 1)² + (- 2 + 6)²] = 4√2

BC = √[(- 1 + 9)² + (- 6 + 6)²] = 8

AC = √[(- 5 + 9)² + (- 2 + 6)²] = 4√2

D(2, 2) , E(6, - 2) , F( 10, 2)

DE = √[(2 - 6)² + (2 + 2)²] = 4√2

EF = √[(6 - 10)² + (- 2 - 2)²] = 4√2

DF = √[(2 - 10)² + (2 - 2)²] = 8

ΔABC ≅ ΔEDF

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