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Determine whether triangle TJD is congruent to triangle SEK . given. T (-4,-2), J (0,5), D (1,-1), S (-1,3), E (3,10), K (4,4). and explain the reason. . . Choose one answer.. a. No, by AAS. b. Yes, by SAS. c. No, by ASA. d. Yes, by SSS

Respuesta :

  ΔTJD 
The length of TJ = √((-4 -0)^2 +(-2 -5)^2 = 5 
length of JD = √((0-1)^2 +(5 -(-1)^2) =√37 
length of DT = √((1-(-4)^2 +(-1 -(-2)^2 = √6 

ΔSEK 
SE = √((-1-3)^2 +(3 -10)^2 = √53 
Since SE is not equal to the length of any side of ΔTJD so the triangles are not congruent

Therefore, D.  Yes, by SSS

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