Decide if there is enough information to prove each of the following pairs of triangles are congruent.
justify your answer for each pair of triangles.

Step-by-step explanation:

1)Yes

In ΔABC and ΔDCE,

AC =CE  {GIVEN}

∠ACB = ∠ DCE     (Veritcally opposite angles)

BC =CD {GIVEN}

ΔABC ≅ ΔDCE       {Side Angle Side - SAS CONGRUENCE}      

3) Yes

In ΔRST and ΔVUT,

∠RST = ∠VUT = 90°{GIVEN}

ST =TU       {GIVEN}

∠RTS = ∠ VTU     (Veritcally opposite angles)

ΔRST ≅  ΔVUT     { Angle Side Angle - ASA CONGRUENCE}      

4)Yes

In ΔDEF and ΔDHG,

ED = DH  {GIVEN}

∠EDF = ∠ GDH     (Veritcally opposite angles)

FD = DG {GIVEN}

ΔDEF  ≅ ΔDHG       {Side Angle Side - SAS CONGRUENCE}  

2) NO  

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )